Nicola Peruffo1, Fabrizio Mancin1, Elisabetta Collini1,2. 1. Department of Chemical Sciences, University of Padova, via Marzolo 1, 35131 Padova, Italy. 2. Padua Quantum Technologies Research Center, 35122 Padova, Italy.
Abstract
Plexcitons, that is, mixed plasmon-exciton states, are currently gaining broad interest to control the flux of energy at the nanoscale. Several promising properties of plexcitonic materials have already been revealed, but the debate about their ultrafast dynamic properties is still vibrant. Here, pump-probe spectroscopy is used to characterize the ultrafast dynamics of colloidal nanohybrids prepared by coupling gold nanoparticles and porphyrin dyes, where one or two sets of plexcitonic resonances can be selectively activated. We found that these dynamics are strongly affected by the presence of a reservoir of states including plasmon resonances and dark states. The time constants regulating the plexciton relaxations are significantly longer than the typical values found in the literature and can be modulated over more than 1 order of magnitude, opening possible interesting perspectives to modify rates of chemically relevant molecular processes.
Plexcitons, that is, mixed plasmon-exciton states, are currently gaining broad interest to control the flux of energy at the nanoscale. Several promising properties of plexcitonic materials have already been revealed, but the debate about their ultrafast dynamic properties is still vibrant. Here, pump-probe spectroscopy is used to characterize the ultrafast dynamics of colloidal nanohybrids prepared by coupling gold nanoparticles and porphyrin dyes, where one or two sets of plexcitonic resonances can be selectively activated. We found that these dynamics are strongly affected by the presence of a reservoir of states including plasmon resonances and dark states. The time constants regulating the plexciton relaxations are significantly longer than the typical values found in the literature and can be modulated over more than 1 order of magnitude, opening possible interesting perspectives to modify rates of chemically relevant molecular processes.
During this past decade, the
design and preparation of systems capable to enable effective light-matter
hybridization have gained increasing interest both in fundamental
and applied science.[1,2] Light–Matter interactions
can be activated when an ensemble of quantum emitters (like, e.g.,
organic molecules and molecular aggregates) is placed in a confined
electromagnetic field, generated by optical microcavities or plasmonic
structures.[3−6] A plethora of different phenomena are achievable depending on the
coupling strength between the field and the emitters. If resonance
conditions are fulfilled and the coupling strength exceeds the mean
of their decay rates, the energy levels of the confined field mode
and the emitter can be modified; that is, they are strongly
coupled.[3] In this regime, two
hybrid bands called the upper and lower polariton resonances are formed
(UR and LR, respectively), utterly distinct from the initial states
of the individual constituent media.[7,8] The formation
of these new resonances is typically identified by the appearance
of two split maxima in the absorption spectrum, corresponding to the
transition to UR and LR, with an energy gap quantified by the Rabi
splitting (ℏΩR).[6]The knowledge of the mechanisms ruling this coupling and the
dynamics
of the hybrid electronic states might have a substantial impact on
applications in photonics, solar cells, photocatalysis, quantum technologies,
and, overall, wherever it becomes relevant to control the energy flux
temporally and spatially, even at the nanometric scale.[1,5,9−11] One of the
best ways to reveal how the strong light–matter interaction
results in new collective properties is to characterize their ultrafast
time-domain behavior.[12−17] Several studies have been devoted to describing the femtosecond
dynamics of several different polaritonic systems, and the debate
about the interpretation of the various dynamic phenomena is particularly
vibrant. This difficulty is likely due to system-to-system differences,
especially in terms of the coupling strength, and a nontrivial dependence
on experimental conditions, such as excitation wavelength[18] and intensity. Therefore, systematic studies
of the ultrafast behavior of polaritonic systems and a careful analysis
of the dependence on experimental conditions are in high demand to
shed light on this debated topic.To contribute to this effort,
here we present a study of the ultrafast
dynamics of a family of colloidal plexcitonic nanomaterials. Plexcitons
are a specific example of polaritonic states arising from the coupling
of the plasmon resonance of a metal nanostructure such as a nanoparticle
or a nanostructured metal surface and a molecular excitation.[10,19] Despite having higher dissipation rates than optical microcavities,
metallic nanostructures allow tight confinement of the electromagnetic
field of light in sub-wavelength regions, featuring extremely confined
mode volumes[20] and enabling the establishment
of effective interactions with other photonic elements in close proximity.
Among polaritonic media, the class of colloidal plexcitonic materials
is particularly appealing nowadays because these materials are cheap
and easy to characterize, and their synthesis is easy to scale up.[8,21,22]In a previous publication,
we characterized the photophysical properties
of colloidal multiplexcitonic materials prepared by assembling gold
spherical nanoparticles (NPs) and a tetra-sulfonate-phenyl-porphyrin
(TPPS) in different aggregation states.[9] The peculiarity of these systems is that two different sets of resonances
can be achieved either in the porphyrin’s B-band region, exploiting
the strong coupling of the NPs’ plasmon with the B-band of
J-aggregates, or in the Q-band region, forming plasmonic nanogaps
with the monomeric species in the intermediate coupling regime.[22] By acting on the supramolecular interactions
regulating the nanohybrid formation, it is possible to build systems
where none, one, or both sets of resonances are present. When both
plexciton resonances are simultaneously activated in the system, evidence
for a plexciton relaxation cascade has been found in static photoluminescence
experiments.[9] Here we employed transient
absorption (TA) experiments to clarify the relaxation dynamics of
the two sets of plexcitons and assess the presence of possible interactions
among them when both resonances are simultaneously present.The nanosystems under investigation were prepared by assembling
10 nm cationic gold nanoparticles (NPs) and 5,10,15,20-tetrakis-4-sulfonato-phenyl
porphyrin in its doubly protonated form (TPPS) in acidic water solutions
(pH = 2 in HCl), as described in ref (9). The ratio between NPs and dye concentration
governs the supramolecular interactions leading to the nanohybrid
formation and the coupling between the plasmonic and the organic moieties.[9] When the ratio is such to have ∼100 TPPS
molecules per NP (sample 1p, Figure ), monomeric TPPS molecules cross-link NPs
promoting their aggregation and forming the so-called plasmon nanogaps.[23] In these conditions, the coupling between the
porphyrins and the NPs promotes the mixing between the Q-band of TPPS
monomer and the plasmon of aggregated NPs, responsible for the red
tail of the plasmon resonance, giving rise to two resonances visible
in the extinction spectrum at 620 and 670 nm. This was also supported
by previous Boundary Element Method (BEM) electrostatic calculations,[9] suggesting that the plasmon resonance arising
from large linear aggregates of NPs can be tuned to be resonant with
the monomer Q-band and promote the formation of the URQ/LRQ resonances.
Figure 1
Normalized extinction spectra of TPPS J-aggregates
(green), NPs
(red), and 0p (orange), 1p (black), and 2p (blue) samples. The spectra were normalized to the plasmon
peak in the 500–600 nm spectral region (NPs, 0p, 1p, and 2p) or to their maximum (TPPS)
and shifted vertically to ease the comparison. The blue dashed line
represents the excitation wavelength (400 nm) used in the TA experiments.
A sketch of 0p, 1p, and 2p is
reported on the right.
Normalized extinction spectra of TPPS J-aggregates
(green), NPs
(red), and 0p (orange), 1p (black), and 2p (blue) samples. The spectra were normalized to the plasmon
peak in the 500–600 nm spectral region (NPs, 0p, 1p, and 2p) or to their maximum (TPPS)
and shifted vertically to ease the comparison. The blue dashed line
represents the excitation wavelength (400 nm) used in the TA experiments.
A sketch of 0p, 1p, and 2p is
reported on the right.The properties of these
resonances, named upper and lower Q resonances
(URQ and LRQ), respectively, suggest an intermediate
(“Fano”) coupling regime.[9] At higher amounts of porphyrins in solution (1000 TPPS molecules
per NP, sample 2p, Figure ), NPs template the formation of J-aggregates. The
strong coupling between the aggregates’ B band and the NPs
plasmon gives rise to a second set of plexciton resonances, called
upper and lower B resonances (URB and LRB).
B plexciton states appear in the extinction spectra at ∼475
nm (URB) and 550 nm (LRB). B and Q resonances
coexist in sample 2p.Note that all the supramolecular
interactions occur among the cationic
capping layer of the NPs and negatively charged sulfonate groups of
TPPS. Hence, the addition of a competitor species (i.e., H2SO4 instead of HCl) allows a drastic reduction of the
coupling. The doubly negatively charged sulfate anions, in large excess,
inhibit significatively the binding of the porphyrins within the effective
volume of the NPs. The extinction spectrum of nanohybrid samples in
sulfuric acid (0p), Figure , except for a slight red shift and broadening
of the plasmonic resonance due to NPs aggregation caused by sulfate
anions,[9,24] is basically the superposition of the extinction
spectra of the non-interacting species (Figure S1), clear evidence for the absence of relevant coupling.While a red-shifted and broader plasmon resonance may be associated
with greater heterogeneity in the NPs aggregates size and morphology[25] with respect to the 1p and 2p, the 0p sample together with the noncoupled
constituents represents a valuable control to assess the effective
role of the coupling in the time-resolved properties of nanohybrids.
Indeed, the ultrafast relaxation dynamics of plexcitonic nanohybrids
(1p and 2p) has been compared with that
of the uncoupled sample (0p) and of the building blocks
(TPPS and NPs in solutions). Additional details on the procedures
used to prepare the different solutions are reported in the Supporting Information.A TA spectrum plots
the differential absorption of the probe beam
ΔA(t, λ) = A(t, λ) – A0(λ), with A(t, λ) and A0(λ) the absorption spectra with and without
the pump excitation, as a function of the probe wavelength λ
at a fixed value of the time delay t after pump excitation.
Instead, the signal decay plots are obtained by plotting ΔA(t, λ) as a function of the delay
time t at fixed values of probe wavelengths λ.
For all the samples, we recorded ΔA(t, λ) at different values of pump fluence. More details
on the experimental setup used to perform TA measurements can be found
in the Supporting Information.The
TA spectra of TPPS in the J-aggregate form at selected values
of delay time are reported in Figure a. Examples of signal decay at relevant wavelengths
are shown in the Supporting Information (Figure S2a). In agreement with previous literature,[26−29] the TA spectra feature two characteristic strong negative ground-state
bleaching (GSB) signals at 490 and 706 nm, in correspondence with
the two main excitonic bands. An additional weaker negative signal
at 665 nm (vibronic band of the Q transition) and a broad excited-state
absorption (ESA) signal between 510 and 650 nm are also recorded.
The decays at different probe wavelengths, analyzed with a multiexponential
global fit, are described by four main time constants: τ1 = 0.6 ps, τ2 = 4 ps, τ3 = 30 ps, and τ4 = 230 ps. The sub-picosecond kinetic
(τ1) is attributed to the fast relaxation between
the B and the Q-band; τ2 and τ3 are
attributed to intra-aggregate and aggregate-solvent energy redistribution,
and, finally, τ4 is the S1 lifetime.[26−29]
Figure 2
TA
spectra at selected delay times for (a) TPPS J-aggregates, (b)
NPs sample, (c) 0p sample, (d) 1p sample,
and (e) 2p sample, in the same experimental conditions.
Delay times are reported in the legends.
TA
spectra at selected delay times for (a) TPPS J-aggregates, (b)
NPs sample, (c) 0p sample, (d) 1p sample,
and (e) 2p sample, in the same experimental conditions.
Delay times are reported in the legends.The TA spectra of NPs are shown in Figure b (the dynamics at selected probe wavelengths
are reported in Figure S2b). Also in this
case, our findings reproduce previous literature results.[30−32] A strong GSB signal in correspondence of the plasmon peak dominates
the TA spectra. Following the literature,[31] the relaxation dynamics of NPs have been described with a model
taking into account the peculiar nature of the relaxation phenomena
in plasmonic nanoparticles: ΔA(t) = ΔA∞ + A1(1 – e–)e– + A2(1 – e–)e–, where τe–e is the characteristic electron–electron scattering
time constant, τe–ph is the electron–phonon
scattering time constant, and τph–env is the
phonon-environment time constant. According to that, three kinetic
components have been determined: (i) a sub-picosecond rise, attributed
to electron–electron scattering (τe–e = 0.2 ps); (ii) a fast decay associated with electron–phonon
scattering (τe–ph, with values between 1 and
3 ps depending on the pump fluence); and (iii) a slower decay due
phonon-environment coupling (τph–env = 120
ps). All the kinetic constants found in different pump fluence conditions
are summarized in the Supporting Information, Table S1. A more detailed comment on the NPs dynamics goes beyond
the scope of this work, considering that these data will be used as
a comparison for the interpretation of the nanohybrids response. However,
it is interesting to highlight that τe–ph gets
shorter as the probe wavelength increases (Figure S2b). This is a typical feature when one probes samples containing
NPs’ aggregates.[33]Figure c reports
the TA spectra of the 0p sample at selected times. Qualitatively,
the TA spectra roughly appear as the sum of the TPPS and NPs aggregate
nonlinearities: two strong negative signals at ∼500 and 700
nm indicate the presence of TPPS J-aggregates, while the broad band
at 560 nm is due to the aggregated NPs. However, a closer look reveals
that the GSB of the B band of TPPS and the GSB of the NPs plasmon
resonance are both slightly red-shifted (from 490 to 500 nm and from
550 to 580 nm, respectively). Although this could be partially justified
considering the overlap with ESA signals, it is not unlikely that
the redshift is a consequence of the specific organization of the
J-aggregates around the gold nanoparticle. Indeed, recent theoretical
findings suggest that the three-dimensional (3D) organization of molecules
around the surface of a spherical metal nanoparticle in weak coupling
conditions leads to the modification of the dipole–dipole interactions
and to possible spectral shifts in the optical response.[34,35] The presence of weak coupling between the nanoparticles and the
aggregates in the 0p sample is supported also by the
time behavior of the signals (Figure S2c,d). The dynamics in the 520–570 nm region (Figure S2c) are dominated by the NPs response, although the
overlap with the ESA signal of TPPS partially hinders the recognition
of all the features and the kinetic constants. In contrast, the dynamics
at 500 nm (Figure S2d), in correspondence
with the strong GSB signal of the B-band of the TPPS J-aggregates,
was fitted with a three-exponential model with time the following
constants: τ1 = 2.3 ps, τ2 = 22
ps, and τ3 = 200 ps. With respect to unbound J-aggregates,
we recorded an overall shortening of the TPPS kinetics, with the sub-picosecond
time constant not even detectable, in agreement with the presence
of weak coupling between the aggregates and the NPs.[36,37]In Figure d, the
TA spectra at different delay times for 1p are reported.
At wavelengths shorter than 600 nm, the spectra are dominated by the
typical broad GSB signal of the NPs, as emerging from the comparison
with Figure b. In
addition, features attributed to the Q Fano resonances are also found.
The negative signal at 670 nm is attributed to the GSB of the LRQ, whereas no evidence of URQ was found, probably
because of its low extinction coefficient, which makes it barely visible
also in the linear extinction spectra.The same signature of
the LRQ GSB at 670 nm was also
found in the TA spectra of 2p (Figure e). In addition, another clear negative band
at 480 nm is found, attributed to the GSB of URB. By comparison
with the response of the NPs and 1p samples (Figure b,d), the strong
negative feature centered at ∼550 nm must be attributed also
in this case to the dominant contribution of the GSB of the NPs plasmon
resonance. However, a further contribution due to the GSB of LRB cannot be entirely excluded.In addition to negative
GSB signals, strong positive ESA signals
are recorded at ∼500 and 630 nm. They can be associated with
each GSB signal to form a sort of derivative-like band shape, as typically
found for polaritonic systems.[14,15,38−42] Derivative-like features are typically associated with a “contraction”
of the Rabi splitting after photoexcitation, which reduces the density
of molecules in the ground state able to participate in plexciton
formation.[16,43] In this case, the Rabi splitting
is dependent on the pump intensity, and a time-dependent Rabi contraction
is measured in TA spectra.[16,41,44] Since in our experimental conditions we did not observe any significant
shift of the plexciton peaks, we attribute these features as originating
from the excited-state absorption from the “one-particle”
plexcitons and/or the dark states to higher-energy “two-particle”
states.[15,16] Dark states are formed in the nanohybrid
as a consequence of the various symmetry of the interactions between
a large number of molecules and the plasmon mode, resulting not only
in the hybrid plexcitons but also in a large number of purely molecular
dark states located at the energy of the bare molecules.[16,45,46] Dark states get readily populated
from higher energy states in time scales less than 100 fs, and, because
of their high density, they can efficiently act as a sink of excitation
from plexcitons, affecting in a significant way the overall dynamics
of nanohybrids, as will be discussed later.[15−17,47,48] Indeed, energy transfer
between polaritons and dark states manifold has been often proposed
as a possible mechanism to justify long polariton lifetimes in microcavities.[42,49]Looking at the time behavior of the signals (Figure ), in general, for both samples,
the time
traces present an early time (<10 ps) behavior very similar to
the one found for the NPs sample, where a short rise, with a time
constant below 1 ps, is followed by a fast decay within 3–10
ps, this latter being fluence-dependent (see Supporting Information, Tables S2–S4). These two dynamics correspond
to the already identified electron–electron and electron–phonon
scattering processes in NPs. Therefore, we can state that, under the
current experimental conditions, the ultrafast dynamics of plexcitonic
nanohybrids in the first 10 ps are dominated by phenomena taking place
in the plasmonic component. This finding is somewhat expected considering
that the experiments have been performed in “off-resonance”
excitation conditions, where the pump wavelength, set at 400 nm, predominantly
directly excites the sp-to-d bulk interband transition of gold NPs.[32,50] A similar trend was also recorded in pump–probe experiments
on other polaritonic systems.[39] It was
also found that, while τe-e values do not
show significant differences in the nanohybrids and NPs samples, for
both 1p and 2p, τe-ph is shorter than in NPs. This difference can be justified by the
presence of different anions (H2-TPPS4– and sulfate) in the nanohybrid samples, which can influence the
nature of the coupling between electrons and phonons and thus slightly
change the value of τe-ph. The essential role
of the capping layer environment in determining the value of τe-ph was previously reported also by Shabaninezhad et
al.[51]
Figure 3
(a) Dynamics of LRQ at 670
nm for the sample 1p; (b, c) dynamics of the sample 2p in the URB region at 480 nm and in the LRQ at 670 nm, respectively.
The pump fluence is 290 μJ/cm2. The circles represent
the experimental data, while the lines are their fittings (note the
breaks on the x-axes at 10 ps). (d) URB time constants τplex,1,2 as a function of pump
fluence for 2p. (e) Pump fluence dependence of LRQ time constant for samples 1p and 2p.
(a) Dynamics of LRQ at 670
nm for the sample 1p; (b, c) dynamics of the sample 2p in the URB region at 480 nm and in the LRQ at 670 nm, respectively.
The pump fluence is 290 μJ/cm2. The circles represent
the experimental data, while the lines are their fittings (note the
breaks on the x-axes at 10 ps). (d) URB time constants τplex,1,2 as a function of pump
fluence for 2p. (e) Pump fluence dependence of LRQ time constant for samples 1p and 2p.Instead, the response on a longer
time scale (>10 ps) is peculiar
to plexcitonic samples and differs from both the bare NPs and TPPS
J-aggregate signals. We particularly focus on the dynamics at probe
wavelengths 480 and 670 nm, corresponding to the GSB of the identified
URB and LRQ transitions.Figure a–c
reports the dynamics of LRQ and URB for 1p and 2p at wavelengths corresponding to the
GSB of the associated transitions. Besides the two sub-10 ps (τe-e and τe-ph) time constants,
only one additional time component was necessary to fit the behavior
of the LRQ signal (τplex), whereas two
components (τplex,1 and τplex,2)
were needed for URB (see also Section S1.2 of the Supporting Information). An inspection of the
time constants retrieved from the fitting analysis of the two samples 1p and 2p at different values of pump fluence,
summarized in Table , highlights interesting and somewhat unexpected trends (Figure d,e).
Table 1
Time Constants Greater than 10 ps
Retrieved by the Fitting of Decay Traces at 480 nm (URB) and 670 nm (LRQ) for 2p and 1p Samples at Different Pump Fluences (in μJ/cm2)a
2p
1p
URB
LRQ
LRQ
fluence
τplex,1
τplex,2
τplex
τplex
514
28
534
712
507
371
25
353
715
524
290
18
142
493
388
121
15
149
363
151
The fitting function, the sub-10
ps time constants (τe-e and τe-ph), and the amplitudes of the different exponential terms are reported
in the Supporting Information (Section
S1.2 and Tables S2–S4). The error is estimated in the order
of 10% from repeated measurements.
The fitting function, the sub-10
ps time constants (τe-e and τe-ph), and the amplitudes of the different exponential terms are reported
in the Supporting Information (Section
S1.2 and Tables S2–S4). The error is estimated in the order
of 10% from repeated measurements.First, these time constants are far longer than the
average lifetimes
typically reported for other plexcitonic and polaritonic systems,
including Fano resonances, typically in the order of 0.1–10
ps.[14,38,39,41,52−55] The long-living dynamics is particularly surprising for URB because several works reported sub-100 fs relaxation dynamics for
upper branches of polaritons (often not even resolved in pump–probe
experiments) due to the ultrafast downhill relaxation to dark states
or to the lower polariton branch.[43,44] Moreover,
the time constants manifest a marked fluence-dependent trend in all
cases, with values increasing at higher fluences.Second, the
temporal trace of the transient signal at 670 nm (describing
the recovery of the GSB of LRQ) is significantly different
in 2p and 1p. In the 2p sample,
when the B plexciton is also present, the recovery of the LRQ bleaching doubles its time constant.The comparison between
the dynamic trends for the 1p and the 2p samples is particularly interesting, especially
from what concerns possible relaxation processes between URB and LRQ in 2p. Comparing Figure b,c, we did not find in 2p evidence for kinetic components depicting a decay of URB and a concomitant rise of LRQ signal, suggesting
the absence of direct downward relaxation pathways among the two sets
of resonances, at least in the considered experimental conditions
and in the investigated time window. This finding adds to previous
static fluorescence measurements, where emission from the Q plexciton
could be recorded only upon excitation of the B plexciton,[9] and supports the hypothesis that the photophysical
and dynamical properties of the two sets of resonances in 2p are strongly intertwined. Rather than considering the B and the
Q resonances as two separated sets of states connected by an incoherent
downhill energy transfer, more subtle interactions should be considered,
possibly mediated by the plasmonic moiety and dark states, as discussed
below and sketched in Figure .
Figure 4
Energy-level scheme for sample 2p (left) compared
with the measured TA spectrum (right). Dark states (DS) and plasmon
resonances are represented in gray and red, respectively. The numbers
indicate the corresponding wavelengths. In green, we report the molecular
states giving rise to the B and Q plexcitons manifolds (the B exciton
of the TPPS J-aggregate at 490 nm and the Q-band of the monomeric
TPPS at 650 nm). The dashed black arrows illustrate the population
redistribution mechanism between URB/LRB and
URQ/LRQ mediated by plasmon resonances and dark
states.
Energy-level scheme for sample 2p (left) compared
with the measured TA spectrum (right). Dark states (DS) and plasmon
resonances are represented in gray and red, respectively. The numbers
indicate the corresponding wavelengths. In green, we report the molecular
states giving rise to the B and Q plexcitons manifolds (the B exciton
of the TPPS J-aggregate at 490 nm and the Q-band of the monomeric
TPPS at 650 nm). The dashed black arrows illustrate the population
redistribution mechanism between URB/LRB and
URQ/LRQ mediated by plasmon resonances and dark
states.Generally, the common intuition
is that population dynamics flow
spontaneously downhill. However, recent theoretical and experimental
papers are challenging the intuitive connection between the spectroscopic
ordering of states and the spontaneity of the energy flow in strongly
coupled polariton states. This is mainly due to the specific nature
of the interactions between polaritonic resonances and what can be
generally defined as the “continuum reservoir”. Indeed,
the energy landscape in between URB/LRB and
URQ/LRQ presents a high density of other states
potentially involved in the relaxation dynamics, including: (i) the
reservoir of states belonging to uncoupled molecules, both in the
form of J-aggregates and monomers, (ii) plasmon resonances, and (iii)
the manifold of dark states formed upon plasmon-exciton hybridization.A significant contribution by uncoupled molecules (i) can be ruled
out, considering that the TA spectra and the dynamics of the nanohybrids
are noticeably different from the ones of the uncoupled molecular
species. This is also supported by the comparison with the response
of sample 0p.As already discussed, the heavy involvement
of NPs plasmon resonances
(ii) is instead witnessed by the presence of the strong GSB signal
of the plasmonic resonance at ∼550 nm that dominates the TA
spectra of the nanohybrids. Moreover, the early time dynamics (<10
ps) captured for both 1p and 2p in URB and LRQ regions strongly resemble that of bare
NPs, with similar fluence and wavelength dependence. It is reasonable
to state that the initial excitation promoted by the ultrafast pump
pulses directly into the NPs interband transition at 400 nm is transformed
into a nonequilibrium distribution of electrons and holes in the metal,
whose relaxation then strongly affects the overall nanohybrids dynamics
because metallic excitations can directly exchange energy with the
adsorbed molecules. Our data suggest that the continuum of states
of the plasmon band must necessarily be considered for an accurate
description of the observed dynamic behavior. Interestingly, a similar
hypothesis was formulated also to explain why the sub-picosecond dynamics
of an Ag NPs-cyanine J-aggregate system was dominated by the electron–electron
scattering time constant of the NPs moiety.[17]The substantial contribution of the plasmon band to the overall
nanohybrids dynamics explains why the LRQ lifetime slows
down at higher fluence and in the presence of the B plexciton. Indeed,
the interband excitation of gold NPs at 400 nm produces conduction-band
electrons. The excess energy is then released mainly to the lattice.[30,32,56] As the “heating”
of the lattice becomes stronger, at increasing fluence and at higher
photon energies, the thermalization process slows down,[50] according to the well-known two-temperature
model.[57,58] The fluence-dependent behavior of the nanohybrids
depicted in Figure d,e has likely the same origin.This interpretation is also
supported by previous photoluminescence
measurements that reported the quenching of the emission from LRQ when the temperature was lowered to 77 K.[9] This evidence implies that the mechanism of population
of the emitting state is annihilated at low temperature.In
addition to plasmons, dark states (iii) must also be taken into
account. The role of dark states has already been widely discussed
to rationalize the transient femtosecond behavior of polaritonic media,
and it has been recently reviewed in ref (16), where an interesting view based on free energy
considerations is proposed. It has been suggested that the high content
of entropy of the dark states can give rise to a quasi-equilibrium
between the lower branch of the polariton resonance and dark states
manifold, providing a working mechanism for uphill population transfer
from the lower polariton to higher energy states. This assumption
allows one to justify peculiar experimental observations such as unexpectedly
long dynamics of the UR[15] and anti-Stokes
fluorescence.[59] A similar concept was also
proposed in ref (60), where the incoherent exchange of energy between polaritons and
reservoir states was postulated to alter the population damping of
the hybrid states, strongly affecting the polariton dynamics. It was
predicted that this energy exchange could repopulate (depopulate)
the upper (lower) polariton, justifying the microscopic origin of
the sub- or super-radiance of the hybrid modes. The presence of an
exchange of energy between dark states and polariton resonances has
also been invoked to explain polariton lifetimes longer than expected.[16,42]In our samples, the presence of dark states directly involved
in
the dynamics is manifested through the appearance of ESA signals in
between the GSB bands of the plexciton resonances (Figure d,e). These states could be
effectively involved in redistributing the population not only among
the lower and upper branches of the same plexciton resonance but also
among the B and Q branches. Moreover, the population redistribution
mediated by the dark states is expected to be enhanced in our samples
by the contribution of metal states. Indeed, as discussed before,
the nonequilibrium distribution of electrons and holes promoted in
the NP moiety by the 400 nm excitation is expected to generate a rise
in the lattice temperature. This temperature rise increases the entropic
contribution of dark states, which favors the establishment of a quasi-equilibrium
between the plexciton branches and dark states manifold and promotes
uphill population transfer.[16] This agrees
with recent MD simulations that confirmed that a redistribution of
the thermal energy could indeed boost the occupation of higher-energy
polaritonic states.[61]The synergic
action of a plasmon band and dark states in promoting
a fluence-dependent population redistribution among the different
branches of the two resonances, also through uphill energy transfer,
can explain the intertwined dynamics of URB and LRQ, the absence of the expected direct downhill energy transfer
from B to Q manifolds, and the fluence-dependent lifetime extension
of LRQ. This mechanism was made possible thanks to the
peculiar energy position of dark states and plasmon resonances with
respect to Q and B plexciton resonances, as depicted in Figure , and by the specific excitation
at 400 nm.Even more interesting, such a mechanism is expected
to be active
only for plexciton systems built on colloidal nanoparticles, where
the molecules are in close contact with the NP surface guaranteeing
an efficient exchange of energy among plasmon resonances of the NP
and the dark states localized on the molecular counterpart. It is
likely that the same mechanism cannot be significantly activated in
microcavity polaritons, where the molecular layer is typically separated
from the metal mirrors by isolating layers, and it lays at the antinode
of the cavity.[62] This would explain the
different behavior of other polaritonic materials based on TPPS J-aggregates
under 400 nm excitation.[63,64]Overall, our
data confirmed that the ultrafast dynamics of plexcitonic
nanohybrids are strongly affected by the presence of a reservoir of
states including plasmon resonances and dark states and can be tuned
acting on the experimental conditions (excitation wavelength and fluence).
By considering samples with a different number of interacting plexciton
resonances (so to change the distribution of states belonging to the
“reservoir”) and modulating the pump fluence, it was
possible to record relaxation dynamics with time constants spanning
a range of at least 1 order of magnitude.While further investigations
on different nanohybrids under different
experimental conditions (especially excitation pump wavelength) are
still needed to verify the generality of this phenomenon, our findings
suggest that it should be possible to exploit these mechanisms to
control the dynamics of plexciton systems over a significantly large
time span. This opens a possible interesting perspective for effectively
using the strong coupling to modify rates of molecular processes and
chemically relevant reactions.
Authors: P Vasa; R Pomraenke; G Cirmi; E De Re; W Wang; S Schwieger; D Leipold; E Runge; G Cerullo; C Lienau Journal: ACS Nano Date: 2010-11-17 Impact factor: 15.881
Authors: Bo Xiang; Raphael F Ribeiro; Liying Chen; Jiaxi Wang; Matthew Du; Joel Yuen-Zhou; Wei Xiong Journal: J Phys Chem A Date: 2019-07-03 Impact factor: 2.781
Authors: Tal Schwartz; James A Hutchison; Jérémie Léonard; Cyriaque Genet; Stefan Haacke; Thomas W Ebbesen Journal: Chemphyschem Date: 2012-12-11 Impact factor: 3.102