Dolfine Kosters1,2, Anouk de Hoogh2, Hans Zeijlemaker2, Hakkı Acar2, Nir Rotenberg3, L Kuipers1,2. 1. Kavli Institute of Nanoscience, Department for Quantum Nanoscience, Lorentzweg 1, 2628 CJ Delft, The Netherlands. 2. Center for Nanophotonics, AMOLF, Science Park 104, 1098 XG Amsterdam, The Netherlands. 3. Max Planck Institute for the Science of Light, Staudtstraße 2, D-91058 Erlangen, Germany.
Abstract
We introduce core-shell plasmonic nanohelices, highly tunable structures that have a different response in the visible for circularly polarized light of opposite handedness. The glass core of the helices is fabricated using electron beam induced deposition and the pure gold shell is subsequently sputter coated. Optical measurements allow us to explore the chiral nature of the nanohelices, where differences in the response to circularly polarized light of opposite handedness result in a dissymmetry factor of 0.86, more than twice of what has been previously reported. Both experiments and subsequent numerical simulations demonstrate the extreme tunability of the core-shell structures, where nanometer changes to the geometry can lead to drastic changes of the optical responses. This tunability, combined with the large differential transmission, make core-shell plasmonic nanohelices a powerful nanophotonic tool for, for example, (bio)sensing applications.
We introduce core-shell plasmonic nanohelices, highly tunable structures that have a different response in the visible for circularly polarized light of opposite handedness. The glass core of the helices is fabricated using electron beam induced deposition and the pure gold shell is subsequently sputter coated. Optical measurements allow us to explore the chiral nature of the nanohelices, where differences in the response to circularly polarized light of opposite handedness result in a dissymmetry factor of 0.86, more than twice of what has been previously reported. Both experiments and subsequent numerical simulations demonstrate the extreme tunability of the core-shell structures, where nanometer changes to the geometry can lead to drastic changes of the optical responses. This tunability, combined with the large differential transmission, make core-shell plasmonic nanohelices a powerful nanophotonic tool for, for example, (bio)sensing applications.
Entities:
Keywords:
chirality; core−shell; electron beam induced deposition; nanohelices; plasmonics
Chiral photonic
structures that
control circular light fields, often on a chip, are becoming integral
to quantum optical[1] and biosensing[2,3] technologies. Initially, chiral structures were microns in size
and operated in the mid- or near-infrared.[4,5] Shrinking
these to the nanoscale, for an optical response in the visible, proved
challenging, but was ultimately possible when researchers turned to
plasmonics.[6−16] In fact, nanoplasmonic structures are not only smaller, but they
also enhance inherently weak chiral light–matter interactions
and can even support superchiral light fields.[2,3,17]One of the key aspects of nanoplasmonics
is that, at the nanoscale,
the optical properties of a structure can be controlled by geometry
and not just its material properties. Indeed, chiral plasmonic nanostructures
can be tuned by changing their size.[10,12,18−21] There are, however, few parameters that can be tuned
on these structures, and changing even one can change the optical
response in many different ways. Increasing the height can, for example,
change both the center wavelength and amplitude of the optical response.[10] It is, therefore, difficult to tailor chiral
plasmonic nanostructures to specific applications.A transition
from metallic to core–shell nanostructures
would provide the requisite tunability while maintaining the plasmonic
enhancement,[22−25] which is so crucial to applications. Yet, such a transition is far
from trivial and, until now, nanostructures with both chiral cores
and shells have not been successfully fabricated. Sensing this need,
scientists have taken the first step, using a clever two-step evaporation
process to create a chiral core–shell structure that consists
of an achiral dielectric core surrounded by a partial metal shell.[26] It is only this shell that causes chirality
of the entire structure, and hence, the tunability of this system
is still relatively limited.We report on the rapid and precise
fabrication of plasmonic core–shell
nanohelices, where both core and shell are chiral. Such helices, which
are sketched in Figure a, are described by many geometric parameters that we can tune tune
with nanometer accuracy. Here, we create arrays of thousands of core–shell
nanohelices, and then use transmission measurements to demonstrate
their asymmetrical response to visible light with different handedness.
From these measurements we calculate a dissymmetry factor of 0.86,
more than 2× larger than any reported to date. To demonstrate
our control over the optical response of the nanohelices, we tune
the amplitude of their resonance while holding its spectral position
steady, in the visible, then use numerical simulations to discuss
how the reverse situation may be achieved.
Figure 1
(a) Three-dimensional
model of a core–shell nanohelix with
the helix height h, major radius R, wire radius of the glass core rcore, and gold shell thickness s indicated. The helix
stands on a glass substrate with a thin layer of ITO. (b) SEM of an
array consisting of 1088 left-handed core–shell nanohelices
spaced 400 nm apart. The array has dimensions 12.8 μm ×
13.6 μm.
(a) Three-dimensional
model of a core–shell nanohelix with
the helix height h, major radius R, wire radius of the glass core rcore, and gold shell thickness s indicated. The helix
stands on a glass substrate with a thin layer of ITO. (b) SEM of an
array consisting of 1088 left-handed core–shell nanohelices
spaced 400 nm apart. The array has dimensions 12.8 μm ×
13.6 μm.
Plasmonic Nanohelices in
the Visible
We fabricate arrays of thousands of core–shell
nanohelices,
an example of which is displayed in Figure b. As the core of one nanohelix is fabricated
in only 2.5 s, this 12.8 μm × 13.6 μm array of 1088
glass helices requires just 45 min. The shape of each helix (Figure a) is determined
by its major radius R, core radius rcore, height h, the number of turns m, and the thickness of the gold shell s, and each of these parameters influences the optical response of
the helix in a unique way.The particular array shown in Figure b, which was designed
to operate in the visible,
is characterized by m = 3, R = 80
± 15 nm, rcore = 25 ± 10 nm, h = 655 ± 110 nm, and s = 20 ±
1 nm. The spread in these parameters has been determined through multiple
SEM measurements, and is indicative of how the helix shape varies
across the whole array. It is only in the case of m, R, and s that these errors truly
indicate the spread between nominally identical helices, as these
parameters were held constant during fabrication. In contrast, h and rcore were systematically
varied across the array (see SI, section 1) to subtly tune the optical response of the helices. In the case
of h, the difference between nominally identical
helices was only 40 nm, while a similar difference in rcore was below our measurement resolution.We shine
a focused (focus diameter 3 μm full-width at half-maximum,
covering roughly 45 helices) circularly polarized, broadband light
beam, which spans the visible and reaches into the near-infrared,
through our nanohelix array. These transmission measurements, a typical
example of which is shown in Figure a, show that there is a clear difference in which the
nanohelices interact with left circular polarized (LCP, red curve)
and right circular polarized (RCP, blue curve) light. Near 700 nm,
in particular, our array of left-handed nanohelices transmits most
of the incident LCP light, while blocking most incident RCP light.
Since the transmission shown here, Texp, is normalized to transmission through an adjacent region of flat
gold film of thickness s, it can easily exceed unity,
meaning that for certain wavelengths the array of nanohelices is more
transparent to LCP light than is the planar film next to the array
(see SI, section 2).
Figure 2
(a) Typical normalized
transmission curve of right-handed circularly
polarized light (RCP, blue) and left-handed circularly polarized light
(LCP, red) through the nanohelices. In the inset, the polarization
direction is indicated by the helical trace. (b) Results from FDTD
simulation. (c) ΔT and g spectra
determined for transmission measurements at nine different locations
on the sample demonstrate the different response of the helices to
RCP and LCP light. The dashed golden line corresponds to location
2 and is calculated with the data from graph (a).
(a) Typical normalized
transmission curve of right-handed circularly
polarized light (RCP, blue) and left-handed circularly polarized light
(LCP, red) through the nanohelices. In the inset, the polarization
direction is indicated by the helical trace. (b) Results from FDTD
simulation. (c) ΔT and g spectra
determined for transmission measurements at nine different locations
on the sample demonstrate the different response of the helices to
RCP and LCP light. The dashed golden line corresponds to location
2 and is calculated with the data from graph (a).The asymmetry of the optical response of our nanohelix array
to
RCP and LCP beams is well reproduced by finite-difference time-domain
(FDTD, see Method section) calculations, which
we present in Figure b. Here, the calculated transmitted spectra Tsim through the helix array with rcore = 15 nm, R = 80 nm, h = 600 nm,
and s = 14 nm, normalized to the incident illumination,
can be seen to excellently reproduce the salient features of the experimental
data (Figure a). Near
700 nm, for example, we again observe a dip in the transmission of
RCP light and enhanced transmission of LCP light. As in the experimental
data, we also observe a crossing of the two transmission spectra near
800 nm, after which more RCP light is transmitted.To quantify
the asymmetrical response of our nanohelix array to
light with different handedness we calculate the differential transmission,presenting
the results in Figure c. Here, the golden dashed
curve represents ΔT for the data depicted in Figure a, which was measured
at position 3 of the array (as shown in the inset). As expected, ΔT of this curve has a negative value below 800 nm, of which
value peaks at ΔTmax = −0.43
near 700 nm; at longer wavelengths, where TRCP > TLCP, the sign of ΔT flips, becoming positive. Transmission measurements at
other positions
of the helix array result in a smooth change of ΔTmax from this maximal value down to −0.14, while
the central wavelength of the response, λ0, remains
virtually unaltered near 700 nm. As we discuss below, in the next
section, this change in the optical response of the nanohelix array
arises mainly from small changes to h and rcore, which we introduced during fabrication.In Figure c we
also show the dissymmetry factor (right axis), g =
2Δ (ref (12)), that, along with the
ellipticity (ref (10)), allow us to compare the performance of our
core–shell nanohelices to previous chiral structures in the
literature. For our glass-gold nanohelices, we find a maximum value
of |g| = 0.86 (and a corresponding θ = 13°)
at λ0. It is not surprising that this value is many
orders of magnitude larger than that of chiral molecules, where |g| ranges from 10–7 to 10–5 (ref (27)). It is,
however, very promising that our measured |g| is
more than two times larger than previously measured dissymmetry factors
of plasmonic nanostructures.[10,12] Moreover, without further
optimization, our calculations (Figure b) demonstrate that |g| = 1.1 (and
|θ| > 15°) are possible with our geometry (see SI, section 5).
Fabrication of 3D Nanoscopic
and Chiral Core–Shell Structures
A two-step process
allows us to fabricate core–shell nanohelices
consisting of a chiral core and a uniform shell in a fast, accurate
and reproducible manner. We first use electron beam induced deposition
(EBID) to fabricate the glass core and subsequently sputter coat the
gold shell.[28] EBID can be used to fabricate
complex three-dimensional nanostructures with high resolution at precisely
defined locations.[28−34] In our case, EBID confers nanometer control over the core radius,
major radius and height of the helices. Sputter coating then creates
a conformal metal shell on the core. Both EBID and sputter coating
techniques are known to work with a wide variety of materials. While
EBID is less common, it has been used for over 50 years and it just
requires addition of a commercially available GIS to a standard scanning
electron microscope.[31] Nowadays, EBID is
used to fabricate complex three-dimensional nanostructures.[35]Electron beam induced deposition is based
on a reaction between
a precursor gas and an electron beam near a substrate that causes
the precursor gas molecules to locally dissociate into a nonvolatile
deposit and a volatile side product. This process is schematically
depicted in Figure a. The structure is, in effect, created only in the presence of the
electron beam, whose dimensions and position can be controlled with
nanometer precision. Scanning this beam can then create complex three-dimensional
geometries. For example, holding the beam in one position deposits
a vertical rod, while tracing m circles leads to
deposition of a helix with m turns. In our work,
the electron beam comes from a FEI Helios Nanolab 600 SEM, and a combination
of tetraethoxysilane (TEOS) precursor gas with water vapor results
in SiO deposits,[31,33] a silica-like oxide we hereafter refer to as glass.
Figure 3
(a) Schematic representation
of electron beam induced deposition
(EBID) that is used to fabricate the glass helix. Where the e-beam
of a SEM hits the substrate, glass is deposited due to the presence
of the precursor gas TEOS provided by a gas injection system (GIS).
Volatile components are removed from the vacuum chamber of the SEM
(b) Nanoscale glass helices fabricated with EBID. (c) Core–shell
(glass-gold) nanohelices after sputter coating. The overlay of images
from two different detectors provides compositional information: blue
represents gold and black represents glass.
(a) Schematic representation
of electron beam induced deposition
(EBID) that is used to fabricate the glass helix. Where the e-beam
of a SEM hits the substrate, glass is deposited due to the presence
of the precursor gas TEOS provided by a gas injection system (GIS).
Volatile components are removed from the vacuum chamber of the SEM
(b) Nanoscale glass helices fabricated with EBID. (c) Core–shell
(glass-gold) nanohelices after sputter coating. The overlay of images
from two different detectors provides compositional information: blue
represents gold and black represents glass.The shape and size of the glass helices depends on a delicate
interplay
between several parameters including the electron beam energy, electron
beam current, dwell time, step size and location with respect to the
gas injection system (GIS) that provides the precursor.[12,31,33,36] Of these, the nanohelix geometry is particularly sensitive to the
dwell time and step size of the electron beam, and its distance from
the GIS. The first, the dwell time, is the time that the electron
beam resides at one position and increasing this parameter increases
the amount of deposited material. The second, the step size, is the
distance between two successive points where the e-beam is placed
and it must be precisely set for helices to form. Setting a too small,
or too large, value for the step size results in either pillars or
planar circles, respectively (see SI, section 3). Lastly, the distance from the GIS determines the amount
of precursor available, and hence the amount of material that will
be deposited.[37] In this work, we hold the
step size and dwell time constant (see SI, section 1 and Figure S1) while slowly varying the distance to the GIS,
allowing us to subtly tune h and rcore of successive helices, creating arrays with position-dependent
optical responses. In practice, one could also hold all parameters
constant to produce arrays of identical helices for targeted applications.The SEM image in Figure b shows glass helices, fabricated with an electron beam energy
of 1 keV, an electron beam current of 21 pA, a dwell time of 14 ms,
a step size of 5 nm and a chamber pressure of 1.4 × 10–5 mbar. Under these conditions, the growth of a single glass nanohelix
takes approximately 2.5 s, meaning that the fabrication of the array
of 1088 nanohelices shown in Figure b, which covers an area of ∼175 μm2, takes roughly 45 min. This duration is comparable to that
required to fabricate a similar array of pure metal nanohelices by
glancing angle deposition, where all nanohelices are grown simultaneously.[10,20,38] However, by using EBID we could,
in principle, choose the size parameters of every single helix in
the array at no additional time cost.We then conformally coat
the nanohelix cores with a gold shell
via sputter coating.[28] The false color
image in Figure c
reveals the resulting gold coverage. Here, the gold is shown in blue
and the glass core in black. We observe that the gold coverage of
the bottom of the helices is less homogeneous than on the top, perhaps
explaining some of the differences in the details between the optical
measurements and the numerical simulations (of the idealized helices)
presented in Figure .There are several advantages to the sputter deposition of
gold,
in comparison with EBID of gold nanostructures. First, by sputter
coating we can control s much more finely than with
EBID. Second, and perhaps more importantly, currently available Au-precursors
only allow for the deposition of heavily contaminated gold (atomic
fraction of Au up to only 60% have been reported), which degrades
the optical properties of the nanostructures.[39−44] In contrast, the gold target used for sputter coating is up to 99.99%
pure and, hence, so is the golden shell of our nanohelices
Tunability
of Core–Shell Nanohelices
To better understand the
dependence of the optical response of
the nanohelix array on its geometric parameters, we use FDTD simulations
to calculate ΔT for different helix shapes.
In each of our simulations we calculate successive ΔT spectra while sweeping one of the geometric parameters
from a fixed set of parameters, which we refer to as the baseline,
of m = 3, rcore = 15
nm, R = 80 nm, h = 600 nm, and s = 14 nm and assuming that our helices are ideal (e.g.,
with a homogeneous gold shell). We begin by gradually changing rcore and h in our simulations
to reflect our experimental sample geometry (see first section), showing
the resultant ΔT spectra in Figure a,b. Recall that the baseline
spectra in these images (red curve) is identical to that presented
in Figure b. Interestingly,
these simulations reveal that both the amplitude and λ0 of the optical response of the nanohelices depend weakly on rcore and h. A closer inspection,
however, reveals that small variations in h can result
in a change of ΔTmax for a roughly
constant λ0 and that the shift introduced by larger
height changes may still be counteracted by simultaneous changes to rcore; that is, lengthening the helices leads
to a red shift of the ΔT spectrum, while thickening
the helices results in a blue shift.
Figure 4
Simulation results of ΔT versus wavelength
for four geometrical parameter sweeps: radius of the core, rcore, major radius R, height h, and gold shell thickness s. (a) Results
for variation of the radius of the core, rcore. Five different radii were simulated, represented by different colors,
while keeping other three geometrical parameters constant. (b) Variation
of major radius R. (c) Variation of height h. (d) Variation of gold shell thickness s.
Simulation results of ΔT versus wavelength
for four geometrical parameter sweeps: radius of the core, rcore, major radius R, height h, and gold shell thickness s. (a) Results
for variation of the radius of the core, rcore. Five different radii were simulated, represented by different colors,
while keeping other three geometrical parameters constant. (b) Variation
of major radius R. (c) Variation of height h. (d) Variation of gold shell thickness s.The major radius and shell thickness
of the core–shell nanohelices
provide additional degrees of freedom that may be exploited to control
the optical response of these nanostructures. Indeed, changing R and s can produce a much more dramatic
effect on ΔT than does changing rcore or h, as we observe in Figure c,d. In particular,
we note that changing either R or s can result in shifts of λ0 of more than 100 nm,
even when the R changes by as little as 40 nm and s by 8 nm. Note that the spectral shift in ΔT due to change of s is in the same direction
as the resonance shift for a straight core–shell nanowire,
but much larger (see SI, section 4). This
suggests that using such core–shell nanohelices it becomes
possible to shift the ΔT spectrum while keeping
its amplitude constant, for example, by primarily changing s and then using fine adjustments to the remaining three
parameters to counteract any amplitude variations. By carefully designing
these nanohelices, one can in principle target any wavelength within
100s of nanometers, both in the visible and near infrared.
Conclusions
To conclude, we show how large arrays of thousands of plasmonic
core–shell nanohelices can be rapidly and precisely fabricated.
Transmission measurements show that the asymmetry in the response
of the helices to light of different circular polarization peaks at
the edge of the visible spectrum, near 700 nm, where we measure |g| = 0.86. The measured dissymmetry factor is already more
than twice the magnitude previously reported in literature, and FDTD
simulations reveal that |g| ≈ 2 is possible
with our geometry. Therefore, as these nanohelices have a strong far-field
chiral optical response, they are predicted to have an enhanced local
(near-field) optical chirality,[45] directly
resulting in an enhanced interaction with chiral molecules, beneficial
to a (bio)sensing application.[17] Due to
the complexity of the chiral response and the nontrivial effect of
every single geometrical parameter, we suggest that optimization for
a certain response will require state-of-the-art algorithms, like
genetic algorithms.[46] Our measurements
show that it is possible to change |g| by subtly
tuning the helix geometry, while keeping the spectral position of
the optical response constant. Likewise, numerical simulations suggest
that it is also possible to hold |g| constant while
shifting the center of the optical response by over 100 nm, making
these plasmonic core–shell nanohelices promising candidates
for future biosensing applications.[2,3]
Method
Transmission
Measurements
A continuum white light laser
(source) provides broad range of wavelengths (λ = 550–1000
nm) for the transmission measurements. The light is circularly polarized
using a linear polarizer (LP) and a quarter wave plate (QW), then
focused onto the sample with a 40× objective to a spot with full
width half-maximum of 3 μm. The sample is illuminated from below,
such that the light first travels through the substrate and then through
the array of nanohelices. The transmission is collected with a second
(collection) 40× objective then sent to grating spectrometer.
A pellicle beam splitter (PB) and flip mirror (FM) are used for navigation
over the sample (Figure ).
Figure 5
Setup of the transmission measurements (see text).
Setup of the transmission measurements (see text).
FDTD Simulations
The FDTD model
is created using Lumerical
Computational Solutions (Figure ). A core–shell nanohelix is modeled using a
stack of cylinders. For one pitch of 200 nm height, 250 cylinders
are used. The end facet of the helix is rounded by adding a glass
and gold sphere. Data from Johnson and Christy[47] is used for the dielectric constant of gold. Glass is modeled
with a refractive index of 1.5. Periodic boundary conditions (PBC)
in x- and y-directions at 400 nm
distance create the square lattice. In the z-direction,
the boundary is a perfectly matched layer (PML). Several mesh checks
are performed and conformal variant 2 is used as mesh refinement combined
with a mesh size of 1 × 1 × 1 nm3 in the area
surrounding the helix and a mesh size of 2 × 2 × 1 nm3 surrounding the interface between the substrate and air.
Two plane-wave sources with a phase difference of π/2 and polarized
at an angle of 90° are used to create circularly polarized light
traveling in the z-direction (k).
Two frequency domain power monitors are used to determine reflection
and transmission coefficients in the far-field. As the incident plane
wave has amplitude 1, the transmission, reflection, and absorption
are normalized by 1.
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