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. 2024 Nov 25;24(49):15517–15524. doi: 10.1021/acs.nanolett.4c03301

Acoustic Modulation of Excitonic Complexes in hBN/WSe2/hBN Heterostructures

Marcos L F Gomes , Pedro W Matrone , Alisson R Cadore , Paulo V Santos §, Odilon D D Couto Jr †,*
PMCID: PMC11638947  PMID: 39586771

Abstract

graphic file with name nl4c03301_0006.jpg

The interaction of high-frequency surface acoustic waves (SAWs) and excitons in van der Waals heterostructures (vdWHs) offers challenging opportunities to explore novel quantum effects and functionalities. We probe the interaction of neutral excitons, trions, and biexcitons with SAWs in a hBN/WSe2/hBN vdWH. We show that neutral excitons respond weakly to the SAW stimulus at 5 K. The remaining excitonic complexes, because of their lower binding energy or charged character, interact much more efficiently with the SAW piezoelectric field, particularly intra- and intervalley trions. At room temperature, the SAW can play a dual role (sometimes dissociating excitons and sometimes increasing the vdWH local doping density) which depends of the laser-induced photodoping of the vdWH prior to the SAW generation and the role of metastable energy states in the SAW-induced carrier dynamics. Our results shed light in the unexplored biexciton modulation with SAWs, important for 2D materials-based optoelectronic and energy harvesting devices.

Keywords: WSe2, van der Waals heterostructure, surface acoustic waves, biexciton, exciton, trion


The employment of surface acoustic waves (SAW) to controllably modify fundamental interactions in two-dimensional (2D) systems has attracted growing interest over the last years.1 The coupling of 2D materials with piezoelectric substrates has enabled experiments using propagating or stationary SAW modes to modulate the electronic properties and transport carriers in a variety of layered structures at relatively high frequencies. In graphene, the SAW-induced deformation has been used to control gauge fields acting on Dirac Fermions2 and to modulate Raman-phonon modes.3 The type-II lateral carrier separation induced by the SAW piezoelectric field has been used to suppress dark currents and improve the performance of few-layer MoS24 and SnS25 photodetectors as well as of van der Waals heterojunctions.6 SAWs have also been used to modulate the emission of hexagonal boron nitride (hBN) layers7 and the bandgap of ReS2 flakes.8

Transition metal dichalcogenide (TMD)-based 2D structures in their own right have attracted strong interest due to their symmetry-dependent excitonic quantum properties911 and applications.12,13 Many efforts have been spent to describe the interaction of SAWs and excitonic complexes in such type of structures.14,15 The role of the dielectric screening introduced by the piezoelectric substrate on the SAW-driven neutral and negatively charged exciton dynamics in nonencapsulated monolayer (1L) systems has been understood.16,17 Stationary modes of SAW cavities have been employed to modulate localized-state energy levels in nonencapsulated 1L-WSe2.18 In van der Waals heterostructures (vdWHs), exciton modulation at the SAW frequency and exciton transport using the SAW strain field in a hBN-encapsulated 1L-WSe2 at room temperature has been observed.19 Efficient interlayer exciton transport at 100 K in a bilayer WSe2 vdWH has also been demonstrated.20 However, a broad understanding of the interaction of SAWs and all the different kinds of excitonic complexes that can be optically generated in TMD structures is still lacking. The later is essential for envisioning more sophisticated applications which take advantage of the SAW itinerant phonons like integration with photonic circuits,21 quantum communication22,23 or signal processing at high frequencies.24

We probe the interaction of different excitonic complexes with SAWs under different temperature regimes in a high-quality hBN/1L-WSe2/hBN vdWH. At low temperatures, we detect efficient acoustic modulation of all excitonic complexes except the neutral exciton (X0), i.e., of the negatively charged intra (Xintra) and intervalley (Xinter) excitons, the neutral (XX) and charged (XX) biexcitons, as well as localized states. We show that the increase in carrier mobility achieved by the hBN encapsulation makes the response to the acoustic stimulus faster in comparison to nonencapsulated monolayers, which is demonstrated by a fast on/off rate of photoluminescence (PL) quenching induced by the SAW piezoelectric field. On the other hand, the hBN underneath the 1L-WSe2 diminishes the strong dielectric screening associated with the LiNbO3 substrate employed for SAW excitation,16,17 making the interaction of X0 with the SAW less effective at low temperatures. The remaining excitonic complexes, however, interact strongly with the SAW piezoelectric field, mainly Xintra and Xinter which have an extra electron and lower binding energies. As the temperature increases, the thermal energy increases the response of X0 to the SAW and allows for higher modulation rates. At room temperature, we observe an excitonic dynamics which is very sensitive to local laser-induced photodoping. At high laser excitation powers, instead of a decrease in PL intensity due to exciton dissociation by the traveling SAW field, we observe an unusual increase in some situations. The enhancement in PL emission is associated with the fact that, at higher acoustic powers, the SAW piezoelectric field partially reverses the photodoping which builds up prior to the application of the SAW. Our results unveil some of the main mechanisms underlying the interaction of different excitonic complexes with SAWs in vdWHs.

Figure 1(a) illustrates the experiment. The hBN/1L-WSe2/hBN vdWH was placed in front of a floating electrode unidirectional transducer (FEUDT) which controlled the SAW generation while the microphotoluminescence (μ-PL) measurements were performed. Figure 1(b) shows a typical 5 K μ-PL spectrum of the wdWH (black empty circles). The spectrum of 1L-WSe2 at low temperatures is composed of different excitonic contributions.2531 The best fit to the spectrum (olive solid line) reproduces well the acquired data. The individual excitonic contributions are shown by the colored lines. The well-separated and highest energy component (blue) around 1.725 eV is attributed to X0.30,32 The orange and brown components are attributed to the recombination of XX and XX,28,30,3234 respectively, while the green and red components to the Xintra and Xinter recombinations,32 respectively. The purple component is possibly associated with dark excitons.32,3538 In the Supporting Information, we detail the attribution of these excitonic lines. The emissions detected below 1.67 eV are position-dependent across the 1L-WSe2 region. They also respond to the acoustic modulation (see the Supporting Information).

Figure 1.

Figure 1

(a) Schematics of the experiment: the hBN/WSe2/hBN vdWH is placed in front a FEUDT device and optical excitation is performed using a green laser. (b) Normalized μ-PL spectrum of the sample at 5 K highlighting the contributions from neutral excitons (X0), intra (Xintra) and intervalley (Xinter) trions, dark excitons (XD), biexciton (XX) and negatively charged (XX) biexcitons. The olive solid line is the fit to the data.

Figure 2(a) shows the (normalized) spectrally integrated μ-PL response of the vdWH at 5 K when the SAW is turned on and off as a function of time. During the measurement, the acoustic power is increased from 0 to 25 dBm. Between every PL measurement with the SAW on, three are performed with the SAW off. For powers above 1 dBm, when the SAW is turned on the PL emission is quenched and the quenching degree increases steadily up to approximately 50% at larger SAW powers. The PL intensity decrease at the laser generation spot is a consequence of the interaction between the SAW and the optically generated excitons. The spatially modulated SAW piezoelectric potential induces a type-II modulation, which laterally separates electrons and holes, increasing carrier lifetimes and enhancing nonradiative recombination rates. Part of the carriers is also captured in the maxima and minima of the traveling piezoelectric potential and dragged away from the laser generation spot, thus also contributing to the PL quenching.39 The SAW strain can also induce PL quenching via bandgap modulation.40 However, as we discuss in the Supporting Information, our experimental evidence indicates that the main contribution to the exciton dissociation in our vdWH comes from the SAW in-plane piezoelectric field.17 Another contribution to the PL quenching can come from impact ionization. Since carrier mobilities tend to be larger in vdWHs, the SAW piezoelectric field can accelerate carriers which transfer their energy to the excitons, ionizing them.41 This exciton dissociation mechanism depends on carrier mobility and, as we discuss below, can play a role in the temperature dependence of the X0 acoustic modulation.

Figure 2.

Figure 2

Acoustic modulation of the hBN/WSe2/hBN vdWH at 5 K. (a) Normalized and spectrally integrated μ-PL intensity as a function of time as the SAW power is turned on and off from 0 to 25 dBm in steps of 1 dBm. Laser excitation power is 3.75 μW. (b) Spectrally integrated and normalized μ-PL intensity as a function of the SAW power for different laser excitation powers. (c) Normalized μ-PL intensity (measured at 3.75 μW laser power) as a function of the SAW power for the different excitonic lines detected in the vdWH spectrum.

The measurements with the SAW on and off show that the excitonic response to the SAW stimulus is very fast and the PL intensity is immediately recovered after the SAW is turned off. This behavior is considerably different from what has been observed in pristine 1L-MoSe2 and 1L-MoS2 deposited directly on LiNbO3,14,17,42 demonstrating that the hBN encapsulation improves the 1L-WSe2 carrier mobility.43 It also confirms that, besides the 20 nm-thick hBN between the LiNbO3 and the 1L-WSe2, the SAW evanescent piezoelectric field is still large enough to efficiently interact with excitons and carriers in the TMD layer.

Figure 2(b) shows the spectrally integrated μ-PL response of the system as a function of the SAW power for different laser powers (for clarity, we omitted the measurements with the SAW off shown in Figure 2(a)). The PL quenching degree decreases consistently as the laser power is increased from 3.75 μW to 150 μW (for other laser power measurements see the Supporting Information). The reduction of the PL quenching degree at high laser powers has been reported for 1L-WSe2 at room temperature16,19 and is attributed to the screening of the SAW piezoelectric field at high carrier densities. Figure 2(c) shows the response of each individual excitonic emission at 5 K using the lowest laser excitation power, where such electrostatic effects are minimal. The least affected quasiparticle by the SAW piezoelectric field is X0. Its emission is roughly unaltered. The main reason for such weak interaction with the acoustic fields is the larger X0 binding energy (≈350 meV) as compared to the remaining excitonic complexes (between 21 and 53 meV), as presented in the Supporting Information. While placing the 1L-WSe2 (or any other 1L-TMD) directly on top of the LiNbO3 surface decreases the X0 binding energy due to the strong dielectric screening,16,17 the presence of the hBN layer in the vdWH restores the weak dielectric screening regime, thus increasing the X0 binding energy.4446 As we discuss below, the lower mobilities at low temperatures also contribute for such weak response of X0 to the SAW modulation.

Charged exciton complexes like Xintra and Xinter can be easier dissociated due to their charged character and lower binding energies, which are much less sensitive to the dielectric environment as compared to the X0 binding energy.47Figure 2(c) shows that Xintra and Xinter are the most sensitive excitonic complexes to the SAW piezoelectric field. The XX and XX biexciton complexes also show a fast response to the SAW stimulus, but their quenching degree is intermediate as compared to Xintra and Xinter. For the case of XX, despite its charge neutrality, it has the lowest binding energy the excitonic complexes discussed here. The XX response to the SAW is similar to XX. Although the uncertainty in the determination XX intensity is larger because of the low laser power employed in this experiment (Supporting Information), the similarity between the behavior of XX and XX can be related to the fact that XX owns an extra charge, but has the largest binding energy among the excitonic complexes. To our knowledge, the results presented in Figure 2(c) are the first demonstration of efficient interaction of both types of trions (Xintra and Xinter) as well as biexciton complexes (XX and XX) in TMD systems with SAWs. We also observed that, under nonresonant optical excitation, the SAW momentum does not affect the spin-valley scattering mechanisms in these excitonic complexes (Supporting Information).

We now address the exciton modulation at higher temperatures in the vdWH, when the biexciton emission vanishes. From here on, the Xintra and Xinter trions will be referred to as X due to the difficulty to distinguish the two components in the spectrum. Figure 3(a) presents color maps of the μ-PL intensity emitted by X0 at 5 (top), 100 (center) and 200 K (bottom panel) as a function of the laser and SAW powers. In all panels, the X0 μ-PL is normalized with respect to the emission measured without the SAW. Completing the information presented in Figure 2(c), at 5 K the X0 emission is weakly affected by the SAW. Its PL quenching degree is independent of the optical power (Figure 3(b)), thus showing that the screening of the excitonic emission with laser power (Figure 2(b)) affects primarily the higher order excitonic complexes like trions and biexcitons in the vdWH which have much lower binding energies as compared to X0. Moreover, these results indicate that at low temperatures, despite an overall improvement in mobility as compared to pristine monolayers, neutral excitons still own a localized character in the vdWH associated with potential fluctuations and disorder, as also observed recently in acoustic transport of interlayer excitons.20

Figure 3.

Figure 3

(a) Color maps showing the normalized X0 μ-PL intensity at 5, 100 and 200 K. The vertical axis shows the logarithm of the laser excitation power while the horizontal one brings the applied SAW power. (b) Profiles corresponding to the dashed white lines in (a) extracted for the X0 emission at 24 dBm. (c) Normalized μ-PL intensity as a function of time as the SAW power is turned on and off from 0 to 25 dBm measured at 1.87 μW and 200 K.

The 100 K color map in Figure 3(a) is slightly different. In this case, some PL quenching at higher acoustic powers and the effect of the laser power screening in the X0 emission are observed. This is evidenced in Figure 3(b), where the emission profiles measured at 24 dBm (white dashed lines in Figure 3(a)) are plotted. The PL quenching degree at low laser powers is larger at 100 K than at 5K, but they become very similar as the laser power is increased. This is more dramatic at 200 K, where much stronger PL quenching degrees of the X0 emission at low laser powers are measured and a diminished effect of the laser screening at high laser powers is observed. Figure 3(c) illustrates this strong interaction of the SAWs and X0 at 200 K by presenting the same kind of plot shown in Figure 2(a). Again, we see a very fast response of the PL emission as the SAW is turned on and off, but the quenching degree is considerably larger, reaching more than 80%. Above 130 K, the X0 population starts to be thermally dissociated48,49 (Supporting Information) which increases the number of free carriers in the system, making more relevant the role of impact ionization in driving the dissociation of X0 and the enhancement of its modulation with temperature. Exciton diffusion can also increase with temperature in the presence of disorder,50,51 further contributing to the rise in the degree of PL quenching of X0.

Figure 4(a) shows the spectrally integrated μ-PL of the vdWH at room temperature as a function of the SAW power. For the 1.5 μW laser excitation, as the SAW power increases the PL quenches as observed at low temperatures. However, for larger laser powers the scenario is very different. As the SAW power is increased, instead of quenching, there are situations where the PL intensity is enhanced. For some of the larger laser powers, the PL intensity starts to decrease and in the middle of the measurement it increases (highlighted by the gray dashed ellipses), as in the case of the 37.5 and 75 μW measurements. The sequence of measurements shown Figure 4(a) has been repeated on many sample locations and the results are very similar (Supporting Information). We did not identify any threshold in acoustic power or laser intensity which triggers such a PL behavior. However, statistically, the PL increase tends to appear at higher laser powers. Moreover, this unusual PL enhancement is observed only at room temperature, indicating that they are likely associated with metastable (carrier trap) states.

Figure 4.

Figure 4

Acoustic modulation of the hBN/WSe2/hBN vdWH at room temperature. (a) Normalized and spectrally integrated μ-PL intensity for different laser excitation powers as a function of the SAW power. The inset shows the contributions from the X0 and X emissions to the spectrum of the vdWH without the SAW. (b) X energy shift (ΔEX, left vertical scale, blue dots) and X0/X intensity ratio (green dots, right vertical scale) for the different laser excitation powers presented in (a) as a function of the SAW power. The behavior of ΔEX and the X0/X intensity ratio before the SAW is turned on is also shown. The dashed vertical line indicates when the SAW is turned on.

To understand the origin of such effects, Figure 4(b) presents the X emission energy shift (ΔEX, left vertical scale) and the ratio between the X0 and X intensities (right vertical scale) for the laser powers shown in Figure 4(a). These two quantities started to be monitored before the SAW was applied (indicated by the negative time scale shown in the upper horizontal axis). The vertical dashed line indicates when the SAW is turned on. For 1.5 μW, neither ΔEX or the X0/X ratio are affected by the SAW. The absence of an acoustically induced Stark shift at low laser excitation powers has been consistently observed in all sample locations at room temperature. This is in agreement with the low in-plane polarizabilities expected for excitons in a weak dielectric screening regime induced by the sandwiching of the 1L-WSe2 with hBN.52,53 For a quantitative analysis of the expected Stark shift induced by the in-plane SAW piezoelectric field see the Supporting Information.

Before the SAW is turned on, for the high laser powers, both ΔEX and the X0/X ratio systematically change in time (and stabilize) in Figure 4(b): the X emission redshifts and the X0/X ratio reduces. The integrated μ-PL also decreases during this time (Supporting Information). Such an intensity decrease under continuous laser excitation is associated with laser-induced doping and exchange of carriers between the vdWH and its surroundings.54,55 Upon illumination, electrons can be injected into the 1L-WSe2 from defects states in hBN56 as well as from the substrate due to the small thickness of our bottom hBN layer,57 which is consistent with the decrease in the X0/X ratio prior to the application of the SAW. Therefore, the laser initially excites electrons and holes in the vdWH (depicted in Figure 5(a)). After a certain time under laser incidence, extra electrons are injected and diffuse across the vdWH (Figure 5(b)), leading to slow decrease in the X0/X ratio and PL redshift. Here, we exclude the influence of Auger effects in the X0/X ratio changes because of the time scale of events observed in Figure 4(b) and due to the strong suppression of this recombination mechanism in hBN-encapsulated systems.58,59

Figure 5.

Figure 5

Charge and exciton dynamics at room temperature. (a) Initially (t = 0), the laser excites electrons and holes, leading to the X0 and X emissions (middle panel). (b) After some time of laser exposure (t > 0) the vdWH becomes electron-doped, increasing the X contribution to the optical emission and redshifting its emission (ΔEX, right panel). (c) When the SAW is turned on, it can drag carriers away from the laser spot, partially reverting the laser-photodoping and blueshifting the X emission. (d) Conversely, the SAW can also drag electrons from trapped states back under the laser spot, further increasing the X contribution and redshifting its emission. In the left panels, x indicates the in-plane SAW propagation direction. CBM stands for conduction band minimum and VBM for valence band minimum profiles along x.

When the SAW is turned on, for 37.5 and 75 μW, Figure 4(b) shows that the PL enhancement observed in Figure 4(a) is followed by a strong increase in the X0/X ratio and a blueshift of the X emission (dashed ellipses). For 150 μW, even though the integrated PL steadily decreases as the SAW power is raised (Figure 4(a)), it continuously redshifts and the X0/X ratio only decreases. This is the opposite of what has been observed at 5 K (Figure 2(c), where the X0/X ratio increases because X is preferentially dissociated in comparison X0) and is another indication of electron injection in the system. Since no energy shifts associated with the SAW strain and piezoelectric field have been observed at 1.5 μW, the red and blueshifts detected at high laser excitation should have a purely electrostatic nature. We argue that such unusual PL behavior with SAW at high laser powers at room temperature is strongly linked to the laser-induced photodoping state reached by the structure prior to the application of the SAW and to the existence of a metastable carrier dynamics associated with the presence of saturated trapping centers. In this scenario, the SAW performs a dual role at room temperature, sometimes partially reverting the photodoping (PL blueshift) and sometimes rearranging and releasing trapped carriers (PL redshift).

The first role is clearly observed in the 37.5 μW and 75 μW measurements in Figure 4(b). When the acoustic power is increased, even though the SAW piezoelectric field might be partially screened by the photodoping, some of the carriers (mostly electrons) can be washed away from the laser excitation spot. When the SAW power is sufficiently high, the photodoping is partially reversed, as indicated by a recovery of the PL intensity (ellipses in Figure 4(a)) and a blueshift of the X emission (ellipses in Figure 4(b)), as depicted in Figure 5(c). The second role happens due to the carrier trapping and release process from localization centers around the laser spot. This is particularly important to understand the continuous redshift in the 150 μW measurement where, before the SAW is turned on, ΔEX is stabilized. Here, the SAW propagating field steadily releases carriers (which have been accumulated over time) from saturated trapping centers (like potential fluctuations or unintentional and undetectable residue from the sample fabrication). The release of these carriers leads to a further increase in the electron density, demonstrated by the X0/X ratio reduction and PL redshift as the SAW power is increased (Figure 5(d)). In other words, the SAW also seems to contribute to local sample doping by rearranging the carrier distribution on the 1L-WSe2 when the laser powers are relatively high. The time scale of the effects observed here are also consistent with persistent photoconductivity mechanisms induced by trapping of carriers in potential fluctuations due to sample inhomogeneity.42,60,61 The role of metastable localization states in the SAW-induced carrier dynamics at room temperature is important to understand the dependence of effect on the sample location and its absence at lower temperatures.

We probed the acoustically induced dynamics of optically generated excitons in hBN/1L-WSe2/hBN heterostructures. We showed how the different excitonic complexes detected at low temperature respond to a 250 MHz SAW propagating field. Inter and intravalley trions interact strongly with the SAW due to the combination of lower binding energy and extra charge. Biexcitons interact weaker with the SAW piezoelectric field as compared to trions due to their charge neutrality. Charged biexcitons have a similar response because, besides their extra charge, they have a considerably larger binding energy as compared to neutral biexcitons. As the temperature is increased, carrier localization effects are less effective, leading to a stronger interaction of neutral excitons with the SAW. At room temperature, the SAW-induced exciton dynamics is strongly affected by the presence of local laser-induced doping and metastable charge states. Our results contribute significantly to the understanding of excitonic dynamics under the influence high-frequency electric fields which is extremely valuable for applications of 2D materials and van der Waals heterostructures.

Acknowledgments

We thank S. Rauwerdink and A. Tahraoui for the fabrication of the FEUDT transducers and M. Tanabe for the technical support during the spectroscopy measurements. The authors gratefully acknowledge the financial supports from the São Paulo Research Foundation (FAPESP) (grants 2021/06803-4, 2022/03323-4, 2023/00191-2), the National Council for Scientific and Technological Development (CNPq) (grant 306201/2022-4), and the Coordination of Superior Level Staff Improvement (grand 88882.328989/2019-01). Finally, all authors thank the Brazilian Nanotechnology National Laboratory (LNNano) and Brazilian Synchrotron Light Laboratory (LNLS), part of the Brazilian Centre for Research in Energy and Materials (CNPEM), a private nonprofit organization under the supervision of the Brazilian Ministry for Science, Technology, and Innovations (MCTI), for sample preparation – LNNano Proposal 20221609 and Microscopic Samples Laboratory (LAM) Proposal 20221594 at LNLS/CNPEM.

Supporting Information Available

The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.nanolett.4c03301.

  • Experimental methods; photoluminescence characterization of the sample without the SAW; localized state emission modulation with the SAW; room temperature photoluminescence measurements with the SAW; circular polarization measurements with the SAW; methodology for curve fitting; and finite element simulations (PDF)

Author Contributions

M.L.F.G. and P.W.M. performed the experiments. M.L.F.G. carried out the data analysis. A.R.C. fabricated the heterostructure samples. M. L. F. G. and O.D.D.C.Jr. wrote the manuscript with input from P.V.S. O.D.D.C.Jr. conceived and supervised the experiments. All authors commented on the manuscript and discussed the results.

The Article Processing Charge for the publication of this research was funded by the Coordination for the Improvement of Higher Education Personnel - CAPES (ROR identifier: 00x0ma614).

The authors declare no competing financial interest.

Supplementary Material

nl4c03301_si_001.pdf (5.8MB, pdf)

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