Kenan Elibol1, Peter A van Aken1. 1. Stuttgart Center for Electron Microscopy, Max Planck Institute for Solid State Research, Heisenbergstr. 1, 70569 Stuttgart, Germany.
Abstract
Controlled fabrication of devices for plasmonics on suspended graphene enables obtaining tunable localized surface plasmon resonances (LSPRs), reducing the red-shift of LSPRs, and creating hybrid 3D-2D systems promising for adjustable dipole-dipole coupling and plasmon-mediated catalysis. Here, we apply a low-cost fabrication methodology to produce patterned aluminum nanostructures (bowties and tetramers) on graphene monolayers via electron-beam lithography and trap platinum (Pt) nanoclusters (NCs) within their hotspots by thermal annealing. We reveal the LSPRs of aluminum plasmonics on graphene using electron energy-loss spectroscopy (EELS) and energy-filtered transmission electron microscopy (EFTEM) in a monochromated scanning transmission electron microscope (STEM). The LSPRs of these nanostructures are measured to be between visible and ultraviolet regions of the spectrum and are confirmed by electromagnetic simulations. The antibonding dipole and bonding dipole modes of both structures are tuned by controlling their gap size. The tetramers enable the simultaneous excitation of both antibonding and bonding dipole modes at the poles of nanoprisms, while bowties allow us to excite these modes separately either at the poles or within the hotspot. We further show that the hybrid nanocavity-NC systems are in the intermediate coupling regime providing an enhanced plasmon absorption in the Pt NCs via the energy transfer from the antibonding dipole mode to the Pt NCs. The dipole LSPR of Pt NCs also couples to the bonding-type breathing mode in bowties. Our findings suggest that these hybrid nanocavity-graphene systems are of high application potential for plasmon-mediated catalysis, surface-enhanced fluorescence, and quantum technologies.
Controlled fabrication of devices for plasmonics on suspended graphene enables obtaining tunable localized surface plasmon resonances (LSPRs), reducing the red-shift of LSPRs, and creating hybrid 3D-2D systems promising for adjustable dipole-dipole coupling and plasmon-mediated catalysis. Here, we apply a low-cost fabrication methodology to produce patterned aluminum nanostructures (bowties and tetramers) on graphene monolayers via electron-beam lithography and trap platinum (Pt) nanoclusters (NCs) within their hotspots by thermal annealing. We reveal the LSPRs of aluminum plasmonics on graphene using electron energy-loss spectroscopy (EELS) and energy-filtered transmission electron microscopy (EFTEM) in a monochromated scanning transmission electron microscope (STEM). The LSPRs of these nanostructures are measured to be between visible and ultraviolet regions of the spectrum and are confirmed by electromagnetic simulations. The antibonding dipole and bonding dipole modes of both structures are tuned by controlling their gap size. The tetramers enable the simultaneous excitation of both antibonding and bonding dipole modes at the poles of nanoprisms, while bowties allow us to excite these modes separately either at the poles or within the hotspot. We further show that the hybrid nanocavity-NC systems are in the intermediate coupling regime providing an enhanced plasmon absorption in the Pt NCs via the energy transfer from the antibonding dipole mode to the Pt NCs. The dipole LSPR of Pt NCs also couples to the bonding-type breathing mode in bowties. Our findings suggest that these hybrid nanocavity-graphene systems are of high application potential for plasmon-mediated catalysis, surface-enhanced fluorescence, and quantum technologies.
Entities:
Keywords:
electron energy-loss spectroscopy; graphene; localized surface plasmon resonance; monochromated scanning transmission electron microscopy; nanofabrication
The strength of light–matter interactions
can be enhanced
via plasmonic nanocavities created by closely spaced metal nanoparticles
enabling excitation of localized surface plasmon resonances (LSPRs).[1−3] These nanocavities are often used to explore various phenomena such
as cavity quantum electrodynamics, strong coupling, and ultrafast
surface-enhanced fluorescence.[2,4−6] Strong coupling of trapped species, e.g., atoms, molecules, and
nanoclusters (NCs), in plasmonic nanocavities can also support the
construction of quantum networks to probe fundamentals of quantum
communication and quantum information processing.[7−10] The bonding dipole modes can
be excited by a plane wave, whereas the antibonding dipole modes that
behave like an energy sink for photon emitters in close proximity
cannot couple to the far-field.[11−13] The antibonding dipole modes
with extremely high-quality factors and longer lifetimes can thus
find applications in various fields such as single-emitter strong
coupling, energy transport, biosensing, and nonlinear plasmonics.[14−17] Additionally, they enable the efficient absorption of photons as
well as the generation of hot electrons and localized heat.[18,19]Contrary to gold (Au) and silver (Ag), which are often used
as
a material for plasmonics, aluminum (Al) is a low-cost and earth-abundant
material that can support ultraviolet (UV) and visible plasmon excitations.[20] The LSPRs excited in plasmonics depend strongly
on the underlying substrate and its thickness, which leads to a red-shift
of the LSPRs and a mode mixing resulting from the coupling of a plasmon
mode with its own image charge and other plasmon modes.[21−24] The most common electron-transparent substrate used for examining
plasmonics in transmission electron microscopy (TEM) is SiN with a dielectric constant of ∼4.25,[25,26] which can be produced up to a minimum thickness of 3 nm.[27] However, it is thicker than two-dimensional
(2D) materials, especially one-atom-thick graphene and hexagonal boron
nitride (h-BN).[28,29] Graphene is known as the strongest
material,[30] and it is more stable than
h-BN under electron-beam irradiation.[31] Therefore, the imaging of substitutional impurity atoms and atomic
clusters on graphene is possible by TEM.[32,33] Moreover, it is a great substrate for electron-beam-patterned nanostructures.[34] Combining the LSPRs and superior electrical
and optical properties of 2D materials such as graphene enables stronger
confinement and manipulation of electric fields.[35] Even though graphene is a promising substrate for plasmonics,
the large-area fabrication of patterned nanostructures on atomically
clean chemical vapor deposition (CVD)-grown monolayer graphene membranes
has not been achieved yet.STEM is one of the most versatile
tools to probe individual atoms
as well as molecules/metal clusters and to monitor their dynamics
at the atomic scale.[32,33,36,37] It also enables mapping the chemical composition
of a specimen with single-atom sensitivity by EELS and mapping the
excitation of antibonding dipole modes, which cannot be directly excited
by light.[38,39] Recent studies show that the strong coupling
of excitons in bulk semiconductors, e.g., ZnO, or 2D materials, e.g.,
WS2, to LSPRs of Ag nanoparticles can be examined by EELS
in a monochromated and aberration-corrected STEM.[40,41] Strong coupling also occurs between LSPR modes, e.g., dipole–dipole
coupling in Au nanorods and dipole–anapole coupling in the
Au nanorods–Si nanodisks system, via plasmonic interactions
inducing a Rabi splitting.[12,42] Though strong coupling
has been achieved by placing organic dye molecules, semiconductor
quantum dots (QDs), and 2D materials nearby plasmonic nanoparticles,[41,43−45] the strong coupling between excitonic states or dipolar
modes of metal NCs and dipolar LSPRs of plasmonic nanocavities has
remained elusive to date. The hybrid plasmonics with 2D materials
are promising not only for strong coupling but also for enhanced spectroscopy.[46−49]When the size of metal clusters is reduced to 2 nm or below,
they
present molecule-like characteristics such as single-electron transitions
and excitons due to discrete energy levels in their electronic structure,
and they drastically lose their plasmonic nature in the quantum-size
regime.[50] Smaller metal NCs also show higher
catalytic activity due to their high surface-to-volume ratio.[51] Pt NCs are often used as a catalyst for photocatalytic
and electrocatalytic reactions.[52−54] The catalytic activity of Pt
NCs becomes higher when their LSPRs and/or hot electrons are activated
via a plasmonic nanocavity in close proximity.[51,55] The LSPR and/or hot-electron-mediated activation of the catalytic
reactions also enables creating nanozymes.[55]Here, we present a low-cost fabrication methodology to produce
large-area plasmonic arrays consisting of Al bowties and tetramers
on atomically clean graphene monolayers attached to a TEM grid. The
hydrocarbon adsorbates on graphene are removed via the activation
of a catalytic Pt layer on the TEM grid at 300 °C for 15 min.
Thermally activated Pt NCs diffusing on graphene are agglomerated
around the hotspots of nanocavities due to the high surface reactivity
of Al2O3 forming on metallic Al. The LSPRs of
Al plasmonics on graphene are visualized by EELS and EFTEM measurements
in a monochromated STEM/TEM and are supported and analyzed via boundary
element method (BEM) simulations. BEM simulations of EEL spectra ascertain
that monolayer graphene underlying Al nanocavities induces less red-shift
in LSPRs compared to monolayer h-BN and 3 nm thick SiN. The antibonding dipole LSPRs of both bowties and
tetramers on graphene can be tuned by controlling the gap size, while
the energy of the bonding dipole mode in these structures is nearly
independent of the gap size. The lifetime and quality factor (Q) of antibonding dipole modes in both nanocavities are
higher than those of bonding dipole modes, and they increase when
the gap size is reduced. Contrary to bowties, the tetramers with lower Q enable producing dipolar modes in a wide energy range
of 1.84–2.65 eV as well as the simultaneous excitation of both
antibonding and bonding dipole modes at the poles of nanoprisms. With
the coupling of dipole LSPRs of Pt NCs to the antibonding dipole modes
of bowties, we reveal intermediate dipole–dipole coupling in
the nanocavity–NC systems. Moreover, we observe the coupling
of a bonding breathing mode in a bowtie to a dipolar mode in a Pt
NC. The proposed hybrid nanocavity–graphene systems allow (i)
revealing dynamic catalytic processes of single atoms and molecules
confined within the plasmonic hotspots, (ii) revealing weak, intermediate,
and strong coupling phenomena, and (iii) controlling the enzyme-like
catalytic activity of trapped species.
Results and Discussion
Large-Area Fabrication of Al Plasmonics on CVD Graphene
Figure a shows the
schematic of the experiment carried out. Here, the Al plasmonics bearing
nanocavities are fabricated on suspended monolayer graphene by electron-beam
lithography. Pt NCs are trapped within the plasmonic hotspots to reveal
the weak and strong coupling by low-loss EELS measurements (for detailed
information, see the Methods section and Figure S1). The gap size of these nanocavities
is controlled by varying the beam dose during the patterning of the
PMMA (see the Methods section). As shown in Figure b,c (see also Figure S2), the largest gaps are obtained in
the areas that are patterned at low beam doses of <1400 μC/cm2, while there is no gap for patterned nanostructures at beam
doses of >1704 μC/cm2 (for tetramers) and >2820
μC/cm2 (for bowties). The long bright lines observed
in the SEM
images (see Figure c and Figure S2) are grain boundaries
of the Cu foil. In Figure c, the white area partially covering the tetramer nanocavity
array is an Al film, which cannot be removed during the lift-off process
(see also Figure S3). To probe the plasmon
modes of Al plasmonics, we transfer the nanocavity/graphene stack
onto a Au TEM grid with a perforated support film including 3 μm
holes (Quantifoil). Figure f–h shows the SEM images of the nanocavity arrays transferred
onto the TEM grid. The hole observed at the center of the grid (see
the black area on panel f) is created by the needle of a home-designed
micromanipulator used for positioning the TEM grid with respect to
the plasmonic arrays on graphene/Cu. Close-up HAADF-STEM images of
both bowtie and tetramer nanocavities are shown in Figure i,j. Detailed HAADF-STEM images
of nanocavity arrays transferred on a TEM grid are presented in Figure S4. Although most of the nanocavities
remain stable after the transfer, some areas on the holey TEM support
film have nanocavities distributed randomly (Figure S4d). This is due to mechanical forces, which can create local
distortions and cracks in graphene during the transfer process (Figure S5a). These local deformations, however,
do not affect the majority of nanocavities (Figure S5a,b).
Figure 1
(a) Schematic of the Al bowtie nanocavities coupled to
Pt NCs on
a monolayer graphene membrane. (b, c) SEM images of bowtie and tetramer
arrays fabricated on CVD-grown graphene on a Cu foil. The scale bars
are 5 μm. (d, e) Close-up SEM images recorded at areas marked
by white squares in panels b and c. The scale bars are 100 nm. (f)
SEM image of the same nanocavity arrays transferred on a Au TEM grid
with a perforated support film. (g, h) SEM images of bowtie and tetramer
arrays marked by white dashed rectangles in panel f. The scale bars
are 5 μm. The areas covered by graphene are marked by white
circles. (i, j) Close-up HAADF-STEM images of Al bowtie and tetramer
nanocavities recorded at areas marked on panels g and h. The scale
bars are 500 nm.
(a) Schematic of the Al bowtie nanocavities coupled to
Pt NCs on
a monolayer graphene membrane. (b, c) SEM images of bowtie and tetramer
arrays fabricated on CVD-grown graphene on a Cu foil. The scale bars
are 5 μm. (d, e) Close-up SEM images recorded at areas marked
by white squares in panels b and c. The scale bars are 100 nm. (f)
SEM image of the same nanocavity arrays transferred on a Au TEM grid
with a perforated support film. (g, h) SEM images of bowtie and tetramer
arrays marked by white dashed rectangles in panel f. The scale bars
are 5 μm. The areas covered by graphene are marked by white
circles. (i, j) Close-up HAADF-STEM images of Al bowtie and tetramer
nanocavities recorded at areas marked on panels g and h. The scale
bars are 500 nm.
Trapping of Pt NCs within Plasmonic Hotspots
To remove
hydrocarbon contamination and polymer residues on the graphene membrane,
the sample (nanocavity/graphene attached to the TEM grid) is annealed
at 300 °C in the air for 15 min. Here, a 10 nm thick Pt layer
covered on the TEM support film (see the Methods section and Figure S1 for details) is
used as a catalyst to dissociate molecular-adsorbed H2 into
atomic hydrogen.[56] As shown in Figure a,b, thermal annealing
enables obtaining large clean areas on the graphene membrane. However,
heating at ambient conditions leads to the formation of cracks on
the TEM support film (Figure S6a,b). Note
that the support film remains undistorted when the TEM grid is heated
in a vacuum. The small bright spots observed on graphene (Figure b) are Pt NCs formed
after annealing. An atomic-resolution HAADF image of a Pt NC is shown
in Figure c. The simulated
HAADF image confirms that the Pt NC is oriented along the ⟨100⟩-direction
(Figure d,e). The
Pt NCs observed on graphene are either ⟨100⟩- or ⟨110⟩-oriented
(Figure S7a–d). The existence of
Pt is further confirmed via EDS measurements (Figure S7e). The heating process also enables the trapping
of individual Pt NCs within the plasmonic hotspots of e-beam-fabricated
Al nanocavities (Figure S8). The average
size of Pt NCs with planar hexagonal shapes on graphene (see also Figure S7b) is measured to be 1.33 ± 0.04
nm (Figure f). Figure g shows the HRTEM
image of a tetramer located on suspended monolayer graphene. Here,
the thickness of Al nanoprisms is about ∼30 nm as determined
by EFTEM thickness mapping (Figure S9a–h), which is in good agreement with the nominal thickness of ∼30
nm observed on the quartz microbalance of the thermal evaporator.
There is, however, a ∼10 nm thick amorphous aluminum oxide
(AlO) layer covering the surface of metallic
aluminum (Figure S10). This oxide layer
induces a red-shift in the LSPRs of the nanocavity, but it also acts
as a protective layer for the metallic Al surface.[57,58] Close-up HRTEM images of the plasmonic hotspot at one of the tetramer
nanocavities are shown in Figures h,i. The small black dots appearing at the hotspot
area are Pt NCs on hydrocarbon contamination at the graphene surface
(Figure h). A contamination-free
area within the hotspot (marked with a white square in Figure h) is shown in Figure i. The carbon atoms in graphene
explicitly appear in the atomic-resolution HRTEM image (Figure j,k), which shows a good match
with the simulated HRTEM image of monolayer graphene (Figure l).
Figure 2
(a, b) TEM image of Al
tetramer nanocavities on graphene before
and after thermal annealing at 300 °C for 15 min, respectively.
(c) Filtered HAADF-STEM image of a Pt NC formed on graphene after
thermal annealing. The image is filtered by double Gaussian filtering
(σ1 = 0.26, σ2 = 0.20, weight = 0.10) and a Wiener filtering
to reduce the noise and to enhance the image contrast. (d) Simulated
HAADF image of a Pt(100) NC. The scale bars are 0.5 nm. (e) Line profiles
recorded along the white dashed arrows on the experimental and simulated
HAADF images. (f) Histogram showing the size distribution of Pt NCs
on graphene. (g) TEM image of an Al tetramer nanocavity on graphene.
(h, i) HRTEM images acquired at the plasmonic hotspot of the tetramer.
(j, k) Raw and FFT-filtered HRTEM images of the monolayer graphene
at the plasmonic hotspot. An atomistic model of graphene is superimposed
on the TEM image in panel k. (l) Simulated HRTEM image of the monolayer
graphene.
(a, b) TEM image of Al
tetramer nanocavities on graphene before
and after thermal annealing at 300 °C for 15 min, respectively.
(c) Filtered HAADF-STEM image of a Pt NC formed on graphene after
thermal annealing. The image is filtered by double Gaussian filtering
(σ1 = 0.26, σ2 = 0.20, weight = 0.10) and a Wiener filtering
to reduce the noise and to enhance the image contrast. (d) Simulated
HAADF image of a Pt(100) NC. The scale bars are 0.5 nm. (e) Line profiles
recorded along the white dashed arrows on the experimental and simulated
HAADF images. (f) Histogram showing the size distribution of Pt NCs
on graphene. (g) TEM image of an Al tetramer nanocavity on graphene.
(h, i) HRTEM images acquired at the plasmonic hotspot of the tetramer.
(j, k) Raw and FFT-filtered HRTEM images of the monolayer graphene
at the plasmonic hotspot. An atomistic model of graphene is superimposed
on the TEM image in panel k. (l) Simulated HRTEM image of the monolayer
graphene.
Visualizing Plasmon Modes at Al Nanocavities on Graphene
The influence of the substrate on the LSPRs of an Al nanoprism placed
on different membranes (3 nm thick SiN, monolayer graphene, and monolayer h-BN) is inspected via BEM simulations
of EEL spectra in Figure S11a–g.
The simulations indicate that a 3 nm thick SiN induces the largest red-shift in LSPRs, whereas a monolayer
graphene membrane leads to the least red-shift. Based on the BEM simulations,
the monolayer graphene is found to be the best substrate for Al plasmonics. Figure a shows the low-loss
EEL spectra acquired at different positions on the Al nanoprism. The
red curves correspond to simulated EELS spectra. The Al nanoprism
on graphene exhibits LSPRs at the energies of 2.31 ± 0.01, 3.47
± 0.01, 3.85 ± 0.1, and 6.11 eV. Spatially resolved EELS
maps acquired at these energies show that the LSPR observed at 2.31
eV corresponds to the dipolar mode, while edge LSPR modes are visible
at energies of 3.47 and 3.85 eV (Figure b). The LSPR appearing at 6.12 eV is a breathing
mode. Lastly, the peak at ∼1.46 eV is attributed to an interband
excitation (IBT) of Al (Figure a). The EFTEM maps acquired at the same nanocavity support
the LSPR modes detected via EELS mapping (Figure c). Here, all EELS measurements are performed
using a monochromated STEM with an energy resolution of 0.17 eV (see Figure S12). Instead, EFTEM measurements are
carried out with a maximum energy resolution of 0.23 eV. These LSPR
modes are further confirmed via simulated EELS maps calculated at
energies obtained from BEM simulations of EEL spectra shown in Figure a. We stress that
the slight mismatch between experimental and simulated EEL spectra
is due to the deviations in the dimensions of the experimental structure
and the dielectric function of Al used in BEM simulations. The intensity
variations on the graphene membrane (Figure d) might be due to the size effect of the
graphene membrane, which is about 150 × 150 nm2 in
simulations.
Figure 3
(a) EEL spectra acquired at three different positions
at the Al
nanoprism (see red dots in HAADF images). The scale bars in the HAADF
images are 50 nm. The red curves are the simulated EEL spectra calculated
at the same positions in the models, which are similar to the experimental
structure (see insets). (b) Spatially resolved EELS maps acquired
at different energies. (c) EFTEM maps acquired at different energies
on the same sample. (d) Simulated EELS maps calculated at different
loss energies. Experiments and simulations are performed at an accelerating
voltage of 200 kV (see the Methods section
for details).
(a) EEL spectra acquired at three different positions
at the Al
nanoprism (see red dots in HAADF images). The scale bars in the HAADF
images are 50 nm. The red curves are the simulated EEL spectra calculated
at the same positions in the models, which are similar to the experimental
structure (see insets). (b) Spatially resolved EELS maps acquired
at different energies. (c) EFTEM maps acquired at different energies
on the same sample. (d) Simulated EELS maps calculated at different
loss energies. Experiments and simulations are performed at an accelerating
voltage of 200 kV (see the Methods section
for details).The simulated surface-charge distribution and electric
field maps
of a single Al nanoprism on graphene are shown in Figure . As shown in Figure a, the electron beam exiting
the LSPRs of an Al nanoprism induces negative and positive charges
on the nanoprism, but the graphene membrane remains mostly neutral.
However, with the excitation of especially the high-energy breathing
mode at 6.09 eV, some areas on graphene nearby the nanoprism become
charged. The electric-field distribution shows that the graphene membrane
underlying the Al nanoprism also leads to a slight decrease of the
electric field in the −z direction (Figure b). The reduction
of the induced electric field is most pronounced in the field map
calculated at 6.09 eV.
Figure 4
(a) Plane and side views of the simulated surface-charge
distribution
of an Al nanoprism on monolayer graphene excited at different energies.
The direction of the electron beam is shown by the symbol ⊕.
(b) Simulated electric field maps of the same structure excited at
different energies. The electron trajectories in panel b are shown
by vertical dashed white lines. The graphene membrane is represented
with a lateral solid white line.
(a) Plane and side views of the simulated surface-charge
distribution
of an Al nanoprism on monolayer graphene excited at different energies.
The direction of the electron beam is shown by the symbol ⊕.
(b) Simulated electric field maps of the same structure excited at
different energies. The electron trajectories in panel b are shown
by vertical dashed white lines. The graphene membrane is represented
with a lateral solid white line.We now move on to another structure called bowtie
with two Al nanoprisms
fabricated on graphene (Figure ). The HAADF image of an Al bowtie with a gap size of 32 nm
and its corresponding model used in BEM simulations are shown in Figure a,b. The EEL spectra
measured at different positions on the bowtie (Figure S13) show that there are two dipolar LSPR modes excited
at energies of 2.42 ± 0.01 and 2.34 ± 0.01 eV (see positions
1 and 4 in Figure S13a). The edge modes
excited at 3.16 ± 0.07 and 3.79 ± 0.12 eV are coupled hexapolar
and octupolar modes, respectively. Lastly, we observe four breathing
LSPR modes at the energies of 4.73 ± 0.09, 5.32 ± 0.18,
6.86 ± 0.04, and 7.60 ± 0.36 eV. With simulated EEL spectra
of a bowtie with similar dimensions (Figure S12d), we interpret the experimentally measured LSPRs (Table 1). To verify these LSPRs, we inspect the spatially
resolved experimental and simulated EELS maps created at specific
energies (Figure S13). The same LSPR modes
are further investigated via EFTEM maps for other Al bowties with
slightly smaller gap sizes (Figure S14).
The EELS and EFTEM maps provide information on the type of LSPRs,
but they are not sufficient to distinguish the difference between,
for example, antibonding dipole (Da) and bonding dipole
(Db) LSPR modes. The simulated surface-charge distribution
in Figure e indicates
that the Db mode is excited at 2.33 eV, while the LSPR
at 2.42 eV corresponds to the Da mode. Figure f shows the dependence of the
dipolar energy on the gap size. With decreasing gap size, the energy
of the Da mode shifts to higher energies as observed in
the simulations shown in Figure g. Conversely, when shrinking the gap, the Db mode’s energy is reduced, in contrast to the simulated Db mode’s energies remaining nearly constant. We note
that the simulations presented in Figure are performed using an effective-medium
approach (see the Methods section); therefore,
the structures used in the simulations do not involve a graphene membrane
and an oxide layer. We assign the difference between experiment and
simulation to the variations in the aspect ratio of structures with
smaller gaps patterned at high electron doses (see also Figure S2). The lifetime of antibonding (τDa) and bonding (τDb) modes calculated using
the Heisenberg uncertainty relation (τ = ℏ/fwhm)[59] are shown in Figure h. The Da modes have a longer
lifetime, especially at the bowties with smaller gaps, while the lifetime
of Db modes does not exhibit a clear correlation. For bowties
with large gaps (>61 nm), both τDa and τDb are nearly the same. The simulated surface-charge distribution
also ascertains that the higher energy edge and breathing modes at
3.20, 3.78, and 5.51 eV are of bonding-type.
Figure 5
(a, b) HAADF-STEM image
of an Al bowtie on graphene and its corresponding
model used in BEM simulations. (c, d) Experimental and simulated spatially
resolved EEL maps acquired at different energies. (e) Simulated surface-charge
distributions of the Al bowtie excited at different energies. The
direction of the electron beam is shown by the symbol ⊕. (f,
g) Experiment and simulation showing the energies of Da and Db modes depending on the gap size. The scale bars
are 50 nm on the HAADF images in panel f. (h) Lifetimes of Da and Db modes depending on the gap size of Al bowties.
(a, b) HAADF-STEM image
of an Al bowtie on graphene and its corresponding
model used in BEM simulations. (c, d) Experimental and simulated spatially
resolved EEL maps acquired at different energies. (e) Simulated surface-charge
distributions of the Al bowtie excited at different energies. The
direction of the electron beam is shown by the symbol ⊕. (f,
g) Experiment and simulation showing the energies of Da and Db modes depending on the gap size. The scale bars
are 50 nm on the HAADF images in panel f. (h) Lifetimes of Da and Db modes depending on the gap size of Al bowties.The most complex structure that we have fabricated
on graphene
is an Al tetramer including four Al nanoprisms (Figure a). As this structure has four components,
the fabrication of tetramers with smaller gap sizes of <43 nm is
demanding. Analogous to the bowties, the tetramers have dipolar, edge,
and breathing LSPR modes (see EEL spectra in Figure S15). All of these LSPR modes are confirmed via experimental
and simulated EELS maps (see Figure c,d) as well as EFTEM mapping (Figure S16). The intensity variations on EFTEM maps are because
of the residual nonisochromaticity of the energy filter. The EELS
maps acquired on the same sample at 80 kV with a different microscope
without a monochromator, involving a faster EELS spectrometer, also
support those LSPR modes (Figure S17).
The Db and Da modes of the Al tetramer with
a gap size of 110 nm are detected at 2.30 and 2.33 eV (Figure c–e). Interestingly,
after analyzing the simulated surface-charge distributions, we find
that the LSPR mode observed at 2.30 eV is a mixed-mode involving both
Db and Da modes, whereas the mode at 2.33 eV
is only a Da mode. The surface-charge distribution calculated
by x- and y-polarized plane-wave
excitation confirms the existence of the Db mode at the
energy of 2.30 eV, but it does not show the Da mode, since
it cannot be excited by a plane wave (Figure S18). In Figure f, the
energies of experimental Da modes match well to simulations,
but the Db modes are slightly different from the simulated
Db modes. The mismatch is likely due to the deviations
in the dimensions of nanocavities written at high electron beam doses
by electron-beam lithography. In contrast to bowties, there is no
clear correlation between the lifetime of dipolar modes and the gap
size. For both nanocavities, the quality factor Q (Q = E/ΔE, where E is the resonance energy of the dipolar
mode, and ΔE is the line width[60]) of Da modes (in the range of ∼3–4.5
eV) is higher compared with the Db modes’ Q, which is in the range of ∼2–3.5 eV (Figure S19). While Q of the
Da mode is enhanced when decreasing the gap size of both
nanocavities, Q of the Db mode is almost
independent of gap size. Since the emitter–cavity interaction
is enhanced with high Q, the bowties with smaller
gap sizes show a great promise for the realization of strong coupling,
while tetramers are more favorable for a charge transfer due to their
wide range of Da modes that can be excited within the hotspot
and at the poles of nanoprisms. Compared to simulated EEL spectra
of the monolayer graphene, showing a clear low-energy plasma excitation
(π plasmon) at 5.26 eV, the π plasmon peak at the experimental
EEL spectra is much broader, and it shows a shoulder at ∼4.5
eV (Figure S20a,b). This is an indication
of an amorphization of graphene probably due to electron beam damage.[61]
Figure 6
(a, b) HAADF-STEM image of an Al tetramer on graphene
and its corresponding
model used in BEM simulations. (c, d) Experimental and simulated spatially
resolved EEL maps acquired at different energies. (e) Simulated surface-charge
distributions of the Al tetramer excited at different energies. The
direction of the electron beam is shown by the symbol ⊕. (f,
g) Experiment and simulation showing the energies of Da and Db modes depending on the gap size. The scale bars
are 50 nm on the HAADF images in panel f. (h) Lifetimes of Da and Db modes depending on the gap size of Al tetramers.
(a, b) HAADF-STEM image of an Al tetramer on graphene
and its corresponding
model used in BEM simulations. (c, d) Experimental and simulated spatially
resolved EEL maps acquired at different energies. (e) Simulated surface-charge
distributions of the Al tetramer excited at different energies. The
direction of the electron beam is shown by the symbol ⊕. (f,
g) Experiment and simulation showing the energies of Da and Db modes depending on the gap size. The scale bars
are 50 nm on the HAADF images in panel f. (h) Lifetimes of Da and Db modes depending on the gap size of Al tetramers.
Intermediate Coupling in the Nanocavity–NC System
The Pt NCs (>4.6 nm) show a plasmon absorption in the UV spectrum.[62,63] Since the LSPR energies of metal nanoparticles blue-shift with decreasing
particle size,[64,65] the LSPRs of smaller Pt NCs (<4.6
nm) are expected to be in the UV range. Contrary to this argument,
Bornacelli et al. demonstrate that 1.6 nm Pt NCs do not exhibit a
plasmon absorption in the UV range, but they rather form uncorrelated
electron–hole pairs leading to a superlinear PL enhancement.[62] Another study performed by Wieghold et al. indicates
that the LSPRs of 1 nm Pt NCs can be activated by placing them on
a Au plasmonic support resonating at 2.29–2.38 eV.[51] Briefly, the existence of LSPRs and excitonic
states of atomically small Pt NCs is not clear and not yet well-understood.
Similar to Wieghold et al.,[51] we do not
observe a clear dipole excitation in the individual Pt NCs with an
average size of 1.33 nm (Figure S21c,d).
Unlike in the literature, the dipolar energies of 1.33 nm Pt NCs are
measured to be in the visible spectrum. The LSPRs of plasmonic nanoparticles
and the exciton energies of semiconductor quantum dots are red-shifted
with increasing particle size.[65,66] Similarly, we observe
a red-shift in the LSPRs of the larger Pt NCs. Not only the particle
size but also the dielectric medium leads to a shift in LSPRs.[67,68] We thus assume that the dipolar energies of Pt NCs are red-shifted
toward the visible spectrum because of the formation of an amorphous
PtO surrounding the metallic Pt (see
the EDS spectrum of a Pt NC in Figure S7e). Moreover, the formation of an amorphous carbon layer covering
the Pt NCs during the EELS line scan also induces a red-shift in the
LSPRs of Pt NCs (Figures S22 and S23).A Pt NC trapped within the plasmonic hotspot of an Al bowtie with
a ∼14 nm gap and its corresponding model are shown in Figure a. Here, the Pt NC
pointed at by a white arrow is closer to the Al nanoprism on the right
side. Figure c,d shows
another Al bowtie with a ∼14 nm gap but without a Pt NC trapped
within the hotspot and its corresponding model used in BEM simulations.
The averaged intensities of dipolar modes shown in Figure e,f are measured from an energy
window of 0.1 eV on the EEL spectra acquired along the red and blue
arrows on the HAADF images and the models (Figure a–d). Here, the intensity of dipolar
modes is found to be higher at the edges of nanoprisms due to the
Db mode excited at the distances of 50 and 290 nm as well
as at the poles (155 and 185 nm) and hotspot (170 nm) due to the excitation
of the Da mode. When the electron beam is in close proximity
to the Pt NC, the intensity of the Da mode reaches the
maximum as observed in the simulations (see position 3 in Figure a–f). In the
case that a Pt NC is absent within a hotspot, we do not observe a
strong enhancement at the dipolar mode (see Figure c,d,f and Figure S24). As reported earlier, the dipole LSPR of the Pt NCs with a diameter
of 1 nm can be activated by placing them nearby a plasmonic support.[51] The sharp peak that appears on the Da mode is thus attributed to the energy transfer from the Da mode of the bowtie to the Pt NC. Additionally, a weak dipole intensity
is rising when the electron beam is located at the center of an Al
nanoprism (see positions 1 and 5 in Figure a–f). To figure out the mechanism
behind the enhancement of the dipolar intensity, we compare the experimental
and simulated EEL spectra shown in Figure g. Since a sharp peak appears directly on
the Da mode of the bowtie (see position 3 in Figure g), we set the energies of
both the Da mode in the bowtie and dipole mode in the Pt
NC trapped within the hotspot to 2.32 eV in the BEM simulations. Notably,
the EEL spectra acquired at position 3 and loss probabilities (LPs)
calculated at the same position show a strong increase in the intensity
(Figure g). Here,
we find that the strong enhancement stems from the coupling between
the Da mode of the bowtie and the dipole mode of the Pt
NC. When there is no Pt NC within the hotspot, the intensity of the
Da mode at position 3 is lower compared with the intensities
at positions 2 and 4 (Figure c,d,h). BEM simulations show that the position of the Pt NC
within the hotspot is critical for the realization of dipole–dipole
coupling (Figures S25 and S26). The intensity
is reduced when the Pt NC is placed far from the center of the hotspot
along the y-axis while the x-position
is stationary (Figure S25). If the Pt NC
is displaced along the x-axis (its position on the y-axis is stationary), the intensity reaches the maximum
at positions where the Pt NC is closer to one of the Al nanoprisms
in the bowtie (Figure S26). To reveal the
existence of different dipole–dipole coupling regimes, we fitted
the experimental EEL spectra to a coupled oscillator model (Figure S27). In the coupled oscillator model,
the resonance energies of the uncoupled Da mode in the
bowtie (ωcp) and the uncoupled dipole mode in the
Pt NC (ωpp) are the same (ωcp =
ωpp = 2.32 eV). The coupling strength g is found to be 10 meV from the fitting for this hybrid system (Figure S27). The criterion for the strong coupling
is given by 2g > (γcp –
γpp)/2 or 2g > (γcp + γpp)/2,[17,69,70] where γcp (429 meV) and γpp (5.8
meV) are the line widths of the Da mode and the dipole
in the Pt NC (see the Methods section for
details). The criterion of 2g > (γcp + γpp)/2 is more strict and requires a higher g to fulfill. As this system does not fulfill these criteria,
the dipole–dipole coupling is not in the strong coupling regime.
The coupled-oscillator model simulations of EEL spectra suggest that
the strong coupling might be visible for g ≥
110 meV (Figure S28). In addition to the
strong enhancement at 2.32 eV, we detect a sharp peak at 2.31 eV when
the e-beam is placed at the center of a nanoprism in both the experimental
structure and the model (see position 5 in Figure a,b,g). As shown in the EELS maps of bowties
in Figure c–e,
a bonding breathing mode is excited at this position. The existence
of radial breathing modes, which can couple to the light, in both
Al nanodisks and nanoprisms has been reported earlier.[71−74] The peak at 2.31 eV originates from the coupling of the dipolar
mode of the Pt NC to the bonding breathing mode of the Al nanoprism.
This peak is not visible at position 1 (center of the other nanoprism
on the left side), since the Pt NC is closer to the nanoprism located
on the right side (Figure a,b,g). The steep peak at 2.31 eV is observed only when a
bonding-type breathing mode of the bowtie couples a dipole LSPR of
the Pt NC within the nanocavity (Figure g,h). We thus rule out the existence of both
excitons and uncorrelated electron–hole pairs in the Pt NCs
with an average size of ∼1.33 nm. Unlike individual Pt NCs
that do not present any clear plasmon absorption, the Pt NCs confined
within the plasmonic hotspots indicate an enhanced dipole absorption
(see position 3 in Figure g), while there are Fano dips appearing at positions 1 and
5 (Figure g). This
hybrid system is thus in the intermediate coupling regime enabling
the energy transfer from the dipole LSPR of the Al bowtie to the Pt
NC.[75]
Figure 7
(a, b) HAADF-STEM image of an Al nanocavity
with a Pt NC (∼1.18
nm) trapped within the plasmonic hotspot and its corresponding model
used in BEM simulations. The Pt NC and dipole are placed to the (x, y) coordinates of (2 nm, 3.1 nm) in
panels a and b. The center of the nanocavity is at the coordinate
of (0, 0). (c, d) HAADF-STEM image of an Al nanocavity without a Pt
NC and its corresponding model used in BEM simulations. (e, f) Experimental
and simulated intensities of a dipolar mode excited along the red
(for Al bowtie with a Pt NC) and blue (for Al bowtie without a Pt
NC) transparent lines in the panels a–d. The intensity is averaged
over an area of 0.1 eV on dipolar modes in the experimental and simulated
data. The insets show the close-up HAADF images of the hotspots in
the nanocavities shown in panels a and c. The images are Gaussian
blurred (radius 1 px) and in false color. The scale bars are 8 nm.
(g, h) Experimental and simulated EEL spectra obtained at the positions
marked on panels a–d, respectively. The background in experimental
EELS data is subtracted after a power-law fitting.
(a, b) HAADF-STEM image of an Al nanocavity
with a Pt NC (∼1.18
nm) trapped within the plasmonic hotspot and its corresponding model
used in BEM simulations. The Pt NC and dipole are placed to the (x, y) coordinates of (2 nm, 3.1 nm) in
panels a and b. The center of the nanocavity is at the coordinate
of (0, 0). (c, d) HAADF-STEM image of an Al nanocavity without a Pt
NC and its corresponding model used in BEM simulations. (e, f) Experimental
and simulated intensities of a dipolar mode excited along the red
(for Al bowtie with a Pt NC) and blue (for Al bowtie without a Pt
NC) transparent lines in the panels a–d. The intensity is averaged
over an area of 0.1 eV on dipolar modes in the experimental and simulated
data. The insets show the close-up HAADF images of the hotspots in
the nanocavities shown in panels a and c. The images are Gaussian
blurred (radius 1 px) and in false color. The scale bars are 8 nm.
(g, h) Experimental and simulated EEL spectra obtained at the positions
marked on panels a–d, respectively. The background in experimental
EELS data is subtracted after a power-law fitting.As the Pt NCs with varying sizes are randomly distributed
around
the Al plasmonics, we cannot control their positions within the hotspots.
For this reason, a detuning cannot be obtained experimentally. Hence,
we inspect the coupled-oscillator-model simulations of EEL spectra
for a possible detuning obtained by varying the resonance energy of
the dipole (Figure S29). Here, ωpp is varied from 1.6 to 3.04 eV, while ωcp is 2.32 eV. Similar to the system in Figure a, the criterion for the strong coupling
is not fulfilled for g = 10 meV. Instead, we observe
a clear peak splitting for g = 160 meV since 2g > (γcp + γpp)/2.
Here,
a Rabi splitting given by is ∼240 meV. The minimum Ω
of ∼240 meV is observed at a detuning of 0 meV. Since the system
fulfills the two criteria 2g > (γcp + γpp)/2 and Ω > (γcp +
γpp)/2, the anticrossing behavior, which is the signature
of strong coupling, is explicitly visible in the counterplot of the
EEL spectra (Figure S29c).Besides
changing the resonance energy of the dipole trapped within
the nanocavity, we change the bowtie gap size (from 6 to 64 nm) to
obtain the detuning (Figure S30). Here,
ωcp is reduced from 2.364 to 2.175 eV by increasing
the gap size of the bowtie while ωpp = 2.253 eV.
In this system, both 2g and Ω are higher than
(γcp + γpp)/2 for g = 160 meV. Hence, the Rabi splitting and the anticrossing are apparent
in this strongly coupled system (Figure S30a,b).Lastly, we try to obtain a detuning by changing the location
of
the dipole within the hotspot of the bowtie (Figure S31a). Here, ωcp varies from 2.336 to 2.261
eV when the bowtie is excited with an electron beam located at different
coordinates ranging from (x = 3 nm, y = 0 nm) to (x = 3 nm, y = 80 nm).
The dipole with a constant resonance energy (ωpp =
2.32 eV) is located at the same coordinates to reveal the coupling
behavior of the hybrid system. For g = 10 meV, the
system is in the weak coupling regime (Figure S31b). With an increase of g to 160 meV, 2g and Ω become higher than (γcp +
γpp)/2. In this way, a Rabi splitting emerges, and
the system passes to the strong coupling regime (Figure S31c). Since the uncoupled resonance energy of the
Da mode does not vary strongly, the anticrossing behavior
is barely visible for this system (Figure S31d).The strong enhancement of the dipolar intensity is further
shown
at another experimental structure (Figure S32). Here, the bowtie has a gap size of 68 nm, and the Pt NC is closer
to the Al nanoprism located on the left side of the bowtie. Similar
to the previous system shown in Figure , the maximum intensity is observed at the position
where the Pt NC exists (see position 3 in Figure S32a,c,f,g). In the BEM simulations, the resonance energies
of the Da mode excited at the center of the hotspot and
the dipole are set to 2.26 and 2.252 eV, respectively. As shown in Figure S31, the energy of the Da mode
excited at the center of the hotspot is higher compared to the energy
of the Da mode excited at a position far from the center.
Thus, the resonance energy of the Da mode is 2.252 eV at
position 3, where the Pt NC is located. Since the Pt NC is closer
to the Al nanoprism located on the left side, a small sharp peak appears
when the breathing mode of this nanoprism is excited (see position
1 in Figure S27a,c,f,g). To elucidate the
coupling regime, we fit the experimental EEL spectra taken from positions
3 to the coupled oscillator model with the parameters of ωcp = ωpp = 2.252 eV (Figure S33). As the criterion of 2g > (γcp – γpp)/2 is not fulfilled for g = 55 meV obtained from the fitting, this system is also
not in the strong coupling regime. Using a similar model system, we
perform coupled-oscillator-model simulations of EEL spectra to assess
its coupling regime (Figure S34). The EEL
spectra from a zero-detuned coupled system do not present a clear
anticrossing behavior due to the small energy variations in the Da mode excited at different positions within the nanocavity.Similar to the previous hybrid system shown in Figure a, the intensity of the Pt
NC is enhanced by the Da mode of the bowtie (Figure S32). We hereby show that these hybrid
systems are in the intermediate coupling regime as both of them enable
enhanced absorption via energy transfer from the Da LSPR
of the bowtie to the Pt NC. As noted earlier, the individual Pt NCs
far from the nanocavities do not support the strong plasmon absorption.
However, when they are trapped within the hotspots of patterned Al
nanostructures, we observe a strong enhancement in their dipolar LSPR
mode, which couples to the Da and breathing modes of the
Al plasmonics. Thus, the patterned Al nanostructures on graphene enabling
the activation of LSPRs in the Pt NCs can be used to improve the catalytic
activity of Pt NCs via the formation of plasmon-mediated LSPRs and
hot electrons.
Conclusion
We report an approach enabling the fabrication
of low-cost plasmonic
nanocavity arrays at a large area on CVD-grown monolayer graphene.
BEM simulations of EEL spectra show that monolayer graphene is a good
substrate for Al plasmonics. The Al bowtie and tetramer nanocavities
support LSPRs at the visible and UV region of the electromagnetic
spectrum. Both structures display antibonding and bonding dipole modes,
which are excited within the hotspot of the nanocavity and poles of
Al nanoprisms. Interestingly, the tetramer allows the excitation of
both antibonding and bonding dipole modes simultaneously at the poles
of Al nanoprisms. Controlling the gap size of both bowties and tetramers
enables obtaining tunable dipolar modes in a wide energy range. Consequently,
the bowties with a high Q show great promise for
weak, intermediate, and strong coupling, while the tetramers with
a lower Q have a high potential to be used for hot
carrier generation due to their wide-range antibonding dipole modes
that can be excited at the poles of nanoprisms and within the hotspot.
In addition to the fabrication and characterization of Al plasmonics
on graphene, we report on how to trap Pt NCs within the plasmonic
hotspots of nanocavities on atomically clean graphene by thermal annealing
at 300 °C for 15 min. The hybrid nanocavity–NC systems
also exhibit an intermediate coupling enabling enhanced dipole absorption
in Pt NCs due to the energy transfer from the antibonding dipole of
the nanocavities to the Pt NCs. Notably, we further reveal the coupling
between the dipole mode of a Pt NC and the bonding breathing mode
of an Al bowtie. In light of these findings, our approach provides
a route for the fabrication of plasmonics and electronic devices on
ultrathin and flexible substrates. We propose that Al bowties, showing
great promise for weak and strong coupling, and Al tetramers, having
high potential for hot carrier generation and light absorption, can
find applications in quantum technologies (e.g., quantum information
processing), plasmon-mediated catalysis, and surface-enhanced fluorescence.
Methods
Sample Preparation
Plasmonic nanocavities were fabricated
on monolayer graphene grown on a Cu foil (Graphenea Inc.) by electron-beam
lithography (see Figure S1). The CVD graphene
on Cu foil (∼4 mm × 4 mm) was first cleaned with acetone
and then rinsed in isopropanol. The graphene/Cu stacks were then placed
on a flat Si chip and coated with an 80–90 nm thick PMMA (2%
PMMA 950k in anisole) by a spinner running at 6000 rpm (acceleration
rate of 2000 rpm/s) for 35 s. Here, the Si chip plays a critical role
in keeping the Cu foil flat during the lithography process. Following
the spin-coating of the resist, the samples placed on a hot plate
were heated at 160 °C for 4 min. The patterning of the resist
was carried out by a Raith eLine with a 7.5 μm objective aperture
and an acceleration voltage of 15 kV. The working distance, the measured
beam current, and the areal dose were 9 mm, 19.6 pA, and 1200 μC/cm2, respectively. The exposed resist was then developed in methyl
isobutyl ketone (MIBK)/isopropyl alcohol (IPA) solution (3:1) at 0
°C for 30 s. The samples with an exposed resist were cooled by
a custom design cooler enabling chilling in a nitrogen environment.
The samples developed were dried by a nitrogen spray gun. After the
development of samples, 30 nm thick aluminum (99.99% purity) was deposited
on them by a thermal evaporator (Univex 1) with a base pressure of
∼1.6 × 10–6 mbar. The deposition rate
of Al was kept at ∼2 Å/s (on a quartz crystal microbalance).
For the metal lift-off, the sample was immersed in N-methyl-2-pyrrolidon (NMP), heated at 60 °C for ∼30 min,
rinsed with acetone and isopropanol, respectively, and finally dried
by the nitrogen spray gun. Before the transfer of Al nanocavities
fabricated on a graphene/Cu stack, a 10 nm thick Pt film was deposited
on a Au TEM grid with a carbon film with holes (Quantifoil) by a sputter
coater (Leica). The position of the TEM grid on the sample was aligned
using a home-designed micromanipulator. To create adhesion between
the Quantifoil and graphene, one drop of isopropanol was applied.
The sample was then placed on a 10% ammonium persulfate (APS) solution
for ∼3 h to etch the Cu foil away. Subsequently, the TEM grid
carrying the nanocavity/graphene stack was rinsed with isopropanol.
SEM images of the samples after fabrication and transfer processes
were recorded using a Zeiss Gemini DSM 982 instrument with a cold
field-emission gun and an in-lens detector at an acceleration voltage
of 5 kV. The working distance was set to 14 mm in the measurements.
Atomic Resolution HRTEM and STEM Measurements
HRTEM
measurements were performed by a JEOL ARM200F TEM instrument with
a cold field-emission gun and a postspecimen spherical aberration
corrector (Cs) at under-focus conditions.
All HRTEM images were acquired at the acceleration voltage of 80 kV.
For the atomic resolution HAADF imaging, we used a JEOL ARM200F FEG-STEM/TEM
instrument equipped with a cold field-emission gun, a CEOS Cs-corrector (CEOS GmbH), and a Gatan GIF Quantum
ERS electron energy-loss spectrometer. Atomic resolution images of
Pt NCs were recorded at an accelerating voltage of 200 kV when the
camera length and collection semiangle range were 6 cm and 76–250
mrad, providing high-angle annular dark-field (HAADF) imaging conditions,
respectively.
EELS, EFTEM, and EDS measurements
The sub-electron-volt–sub-angstrom
microscope (Zeiss SESAM) equipped with a Schottky field-emission gun,
an electrostatic OMEGA-type monochromator, and a high-dispersion and
high-transmissivity MANDOLINE filter was used for low-loss EELS and
EFTEM measurements. All of the measurements were done at an acceleration
voltage of 200 kV. The energy resolution, energy dispersion, and EELS
collection semiangle were 0.17 eV, 0.015 eV/px, and 0.7 mrad, respectively.
The pixel dwell time was set to 3 s in the line scans, while it was
set to 0.5 s in the EELS maps. The EELS maps were extracted by summing
over an energy window of 0.2 eV. The EELS maps were processed with
a multivariate weighted principal component analysis (PCA) routine.[76] A Gaussian fitting was applied to EEL spectra
in order to define the peak position of LSPRs whereas a Lorentzian
fitting was used to extract the full width at half-maximum (fwhm)
for calculating plasmon lifetimes. In the EFTEM maps of nanocavities
acquired in the energy range of 0–16 eV and at the energy step
size of 0.1 eV, we used the smallest energy slit of 0.23 eV. The integration
time was 6 s during EFTEM mapping. The JEOL ARM200F TEM instrument
with a postspecimen spherical aberration corrector (Cs), a Gatan GIF Quantum ERS electron energy-loss spectrometer,
and an EDS spectrometer was also used to perform EFTEM thickness and
EELS measurements at 80 kV. Here, the energy resolution, dispersion,
and pixel time were set to 0.5 eV, 0.01 eV/px, and 0.01 s, respectively.
The EFTEM thickness measurements were done using an energy-slit width
of 10 eV and an exposure time of 2.44 s. The EDS measurements were
performed under the same conditions at 80 kV.
Electromagnetic Simulations
Boundary element method
simulations of EEL spectra were performed via a Matlab toolbox (MNPBEM).[77] The dielectric functions of Al, monolayer graphene,
and monolayer h-BN were taken from McPeak et al., Nelson et al., and
Beiranvand et al.[78−80] The dielectric constant of 4.25 was used for SiN
in the simulations.[25] The dimensions of
the structures were set to the dimensions observed in the experimental
data. The bowtie structures in the simulations were constructed using
two equal nanoprisms with an edge length of 80 or 120 nm and a height
of 20 nm. For simplicity of complex simulations (e.g., bowtie on the
membrane and tetramer on the membrane), an effective-medium approach
was employed. Thus, the existence of a membrane and an oxide layer
covering the Al nanoprism was disregarded for bowtie and tetramer
structures. An electron-beam excitation with beam energies of 80 and
200 keV was used in the simulations. BEM simulations of EEL spectra
were performed in the energy range of 0.73–8 eV with a 300
mesh. The EEL simulations of a bowtie coupled to a Pt NC were carried
out by placing a sphere with a radius of 2.51 nm within the hotspot
of bowties. The resonance energy of Pt NCs was varied by changing
the dielectric constant of a 0.5 nm thick cover layer around the Pt
NC. The complex dielectric function of the Pt NC was approximated
by a Lorentz model with the following parameters: high-frequency dielectric
constant ϵ∞ = 1, oscillator strength f = 0.8, ω0 = 2.356 eV, and γ0 = 0.08.[17]
HRTEM and STEM Image Simulations
HRTEM and HAADF image
simulations were carried out using QSTEM software with parameters
corresponding to the experiments.[81] The
parameters used for HRTEM simulations were as follows: a spherical
aberration coefficient of 1 μm, accelerating voltage of 80 kV,
and a defocus of −2.5 nm. For HAADF-STEM simulations, the following
parameters were used: chromatic aberration coefficient of 1 mm, spherical
aberration coefficient of 1 μm, accelerating voltage of 200
kV, and convergence angle of 20.4 mrad. The HAADF detector angle range
was set to the experimental range of 67–250 mrad.
Coupled Oscillator Model
The uncoupled oscillators
assumed in the coupled oscillator model are the antibonding dipole
LSPR of the bowtie and the dipole LSPR of the Pt NC. Here, both dipole
LSPRs of the bowtie and the Pt NC are described as damped harmonic
oscillators, which represent the polarization of these structures.[82] Both of these structures are coupled via the
electric near-field with a coupling strength (g).
By solving the equations of motion for these two oscillators, the
extinction of two coupled oscillators at the frequency of ω
is obtained.[17] The experimental EEL spectra
were fitted to this model in order to estimate the coupling strength.Here, ωcp and ωpp are the resonance frequencies of the Da mode
of the bowtie and the dipole mode of the Pt NC, while γcp and γpp are the line widths of these uncoupled
oscillators (the Da mode and the dipole mode of the Pt
NC), respectively. In the coupled oscillator model, we used the line
widths obtained from the simulated EEL spectra of the uncoupled bowtie
and the Pt NC and added the instrumental broadening in the fitting.
Here, the instrumental broadening δ is 80 meV, while γcp = 429 meV and γpp = 5.8 meV for all of
the simulations.
Authors: Huigao Duan; Antonio I Fernández-Domínguez; Michel Bosman; Stefan A Maier; Joel K W Yang Journal: Nano Lett Date: 2012-02-14 Impact factor: 11.189
Authors: Kang Du; Pei Li; Kun Gao; Heng Wang; Zhiqiang Yang; Wending Zhang; Fajun Xiao; Soo Jin Chua; Ting Mei Journal: J Phys Chem Lett Date: 2019-08-06 Impact factor: 6.475
Authors: Haihua Liu; Thomas E Gage; Prem Singh; Amit Jaiswal; Richard D Schaller; Jau Tang; Sang Tae Park; Stephen K Gray; Ilke Arslan Journal: Nano Lett Date: 2021-06-21 Impact factor: 11.189