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Interlayer charge transport controlled by exciton–trion coherent coupling

Abstract

The possibility of electrical manipulation and detection of a charged exciton (trion) before its radiative recombination makes it promising for excitonic devices. Using a few-layer graphene/monolayer WS2/monolayer graphene vertical heterojunction, we report interlayer charge transport from top few-layer graphene to bottom monolayer graphene, mediated by a coherently formed trion state. This is achieved by using a resonant excitation and varying the sample temperature; the resulting change in the WS2 bandgap allows us to scan the excitation around the exciton–trion spectral overlap with high spectral resolution. By correlating the vertical photocurrent and in situ photoluminescence features at the heterojunction as a function of the spectral position of the excitation, we show that (1) trions are anomalously stable at the junction even up to 463 K due to enhanced doping, and (2) the photocurrent results from the ultrafast formation of a trion through exciton–trion coherent coupling, followed by its fast interlayer transport. The demonstration of coherent formation, high stabilization, vertical transportation, and electrical detection of trions marks a step toward room-temperature trionics.

Introduction

Excitons are bound pairs of an electron and a hole, and play a crucial role in a variety of optoelectronic devices. The large optical absorption, large carrier effective mass, small dielectric constant, and strong out-of-plane confinement in monolayer transition metal dichalcogenides (TMDCs, e.g., MX2 where M = Mo, W; X = S, Se) lead to the observation of a variety of excitonic quasiparticles (namely, exciton, charged exciton or trion, and biexciton) that remain stable even up to room temperature.1,2,3,4,5 This makes these monolayers and their vertical heterostructures an ideal platform for exploring the physics of excitons and their manipulation.6

A trion is a charged exciton constituting of two electrons and one hole (X) or two holes and one electron (X+), which exhibits a binding energy on the order of 30 meV3,7 in monolayer TMDCs—a number that is about an order of magnitude higher than that which is observed in III–V semiconductor quantum wells.8,9,10 Since the binding energy is higher than kBT at 300 K, trions in monolayer TMDCs are stable at room temperature. This makes trions particularly interesting for room-temperature optoelectronic applications for two primary reasons. First, trions carry a net charge, allowing us to manipulate and detect trions through electrical probing. Second, the radiative lifetime of a trion has been reported in a broad range from a few picoseconds to tens of picoseconds,11,12,13,14 but nonetheless, it is longer than that of the exciton,11,15,16,17 providing us time for electrical manipulation before it radiatively recombines in a spontaneous manner. However, many of the perceived applications of trions have not yet been demonstrated experimentally. This is because the trion being a heavy particle, exhibits poor in-plane mobility, resulting in a relatively large transit time under an electric field. This leads to radiative recombination of a trion before collection at the electrodes, leaving little hope for efficient manipulation and detection in lithography-limited planar structures.

Vertical layered heterostructures, where the monolayer TMDC is encapsulated by a bottom electrode and an optically transparent top electrode provide an ideal solution to this problem. The generated trion in the ultrathin TMDC sandwiched layer can be swiftly transferred and collected at the vertical electrodes before radiative recombination, and thus can generate a detectable electrical current. However, two important issues must be addressed for successful implementation of this scheme. First, interlayer carrier transfer is an extremely fast process (sub-picosecond timescale18,19,20,21). Any incoherent trion formation process (e.g., through phonon scattering following nonresonant excitation) will be inefficient at the heterojunction, as photocarriers will be transferred to the electrodes before formation of a trion. This calls for the need of an ultrafast trion formation process, for example, through coherent exciton–trion coupling12,22,23,24,25 following a resonant excitation. Second, due to strong screening by the adjacent vertical electrodes, the binding energy of the trion is likely to be suppressed,26 which can adversely affect its stability at room temperature.

In this work, exploiting efficient coherent coupling between the exciton and trion driven by resonant excitation, we demonstrate a strong photocurrent in a few-layer graphene (FLG)/monolayer WS2/monolayer graphene (MLG) vertical junction. The photocurrent results from electron hopping from top FLG to bottom MLG mediated through the coherently formed trion state in the WS2 sandwiched layer. This is achieved by scanning the spectral overlap between the exciton and the trion using a fixed wavelength excitation at varying temperature. We further demonstrate an anomalous stabilization of the trion at the heterojunction at elevated temperatures (up to 463 K) arising due to enhanced doping in the WS2 sandwiched layer.

Results and discussion

Figure 1a depicts a schematic diagram of the FLG/monolayer WS2/MLG vertical heterojunction device used in this work. The details of the device fabrication are provided in the Methods section. The optical image and scanning electron micrograph of the fabricated device are shown in Fig. 1b, c. Figure 1d shows the Raman spectra obtained using a 532-nm laser at 296 K, both on the isolated WS2 portion and on the junction. Compared with the isolated WS2, the Raman signal is slightly suppressed at the junction. Also, the A1g peak at the junction is hardened by about 1 cm−1 with respect to the isolated portion (see inset of Fig. 1d). This suggests a change in doping in the monolayer WS2 at the junction due to depletion of carriers to graphene, resulting from band offset.

Fig. 1
figure 1

FLG/monolayer WS2/MLG vertical heterojunction. a Schematic of the vertical device using monolayer WS2 sandwiched between few-layer graphene (FLG) on top and monolayer graphene (MLG) at the bottom. b Optical image of the device. Scale bar is 4 μm. c Scanning electron micrograph of the top view of the device. The dotted lines indicate the individual layers. Scale bar is 2 μm. d The Raman intensity for both the isolated WS2 and the junction taken at 296 K with 532-nm laser excitation. Inset: hardening of the A1g peak on the junction by about 1 cm−1

The fabricated device is mounted on a thermal chuck and the device terminals are connected to Keithley 2636B SMUs through micromanipulators for electrical measurement. At every temperature step, the device is illuminated by a laser beam of photon energy 2.33 and 1.9591 eV through a ×50 objective, and the photocurrent is measured while acquiring in situ photoluminescence (PL) spectra. The incident laser power is kept below 8.5 μW to avoid any undesirable effect due to laser- induced heating.

Figure 2a, b illustrate the acquired temperature-dependent PL intensity in a color plot for the isolated WS2 and the junction, respectively, when excited with photons of energy 2.33 eV. The horizontal axis is the detected photon energy and the vertical axis is the sample temperature varying from 296 to 463 K. The individual spectra at different temperatures are shown in Supplementary Information S1. The sharp red shift of the A1s exciton (X) peak with an increase in temperature is a result of the reduction in quasiparticle bandgap. On the junction, the PL intensity of both the X and the trion (X) peaks is significantly quenched (about 10 times), irrespective of the temperature, as illustrated in Supplementary Information S2. This quenching with 2.33-eV excitation can be attributed to two effects. First, since 2.33-eV excitation is off-resonant to X, the formation of the exciton has to happen through the relaxation of energy, by inelastic phonon scattering, which requires a timescale of a few picoseconds. Second, once an exciton is formed, on an average, it takes on the order of a picosecond for radiative recombination. During these processes, a large fraction of the excitons is transferred to graphene through ultrafast processes, including exciton transfer and non-radiative energy transfer,27,28 quenching the overall PL intensity.

Fig. 2
figure 2

Temperature-dependent photoluminescence 2.33-eV excitation. a, b Color plot of the normalized PL intensity as a function of temperature ranging from 296 to 463 K with 2.33-eV laser excitation both on the a isolated WS2 and b on the junction. c, d PL spectra acquired from c the isolated WS2 and d the junction. The top and bottom panels are measured at 296 and 463 K, respectively. The data are shown by gray symbols, fitted with voigt function (in black line). The extracted exciton (X) and trion (X) peaks are shown separately in green and red, respectively. The separation in X and X peaks is shown by a dashed vertical line. The red arrow indicates the excitation position

The individual PL spectra acquired from the isolated WS2 and the junction are shown in Fig. 2c, d at 296 and 463 K. The obtained PL peaks can be fitted with voigt function to extract the X and X peaks. Note that, at elevated temperature, the X spectral strength is almost negligible on isolated WS2, while it is surprisingly strong at the junction. This anomalous trion stabilization at the junction at higher temperature in spite of the screening effect is also supported by the enhanced separation between X and X peaks in the bottom panel of Fig. 2d. The position of the fitted X and X peaks is systematically plotted as a function of temperature in Fig. 3a. The corresponding separation between the two peaks \(\left( {{\mathrm{\Delta }}E = E_X - E_{X^ - }} \right)\) is shown in Fig. 3b. We also show the kBT line indicating the thermal stability region. ΔE increases with temperature for both isolated WS2 and at the junction. The rate of increment of ΔE with temperature is faster (slower) than the kBT line at the junction (isolated WS2) portion. This is in agreement with the vanishingly small trion intensity at 463 K at the isolated WS2 portion in Fig. 2c (bottom panel), while at the junction, we observe a strong trion peak in Fig. 2d (bottom panel). This anomalous behavior at the junction can be attributed to an increasing doping with temperature in the junction. ΔE is given by3,29,30

$${\mathrm{\Delta }}E = E_{{\mathrm{bT}}} + \delta E_{\mathrm{n}}$$
(1)

where EbT is the trion binding energy and δEn is the additional energy required for trion “ionization” to knock an electron to an empty state in the conduction band. By noting that the A1g Raman peak position of WS2 is strongly modulated by electron–phonon coupling,31 it can be used to monitor the doping effect at the junction. In Fig. 3c, we plot the shift of the WS2 A1g Raman peak in the junction with temperature, showing a softening of 2.5 cm−1. Note that the increase in temperature would only soften the A1g peak by 1.5–1.7 cm−1,32,33,34 suggesting the additional softening due to electron–phonon coupling arising from increased n-type doping.35 The origin of the enhanced n-type doping with temperature at the junction stems from the bandgap defect states in WS2. Such defect states are well studied in TMDC materials, and are known to produce sub-bandgap luminescence peaks at low temperature.4,36,37,38 A representative PL spectrum of monolayer WS2 taken at 3.7 K is shown in Supplementary Information S3. With an increase in temperature, due to a change in the Fermi–Dirac probability, the trap states get more activated. Upon illumination, the photogenerated carriers in the top FLG film populate these trap states, changing the doping in the WS2 film, and in turn moving the Fermi level closer to the conduction band edge (see Fig. 3d). The combined effect of a stronger Fermi tail and enhanced doping results in a higher probability of filled states at the conduction band edge and statistically it becomes increasingly difficult to ionize the trion by promoting one electron to the conduction band.3,29,30 This in turn results in the anomalous stabilization of the trion at the junction at elevated temperature.

Fig. 3
figure 3

Anomalous stabilization of the trion at elevated temperature. a The position of the exciton (X) and trion (X) peaks for the isolated WS2 and the junction area as a function of temperature. b The separation between X and X plotted as a function of temperature. The shaded region below the kBT line is thermally unstable. c Relative change in the A1g Raman peak of WS2 on the junction across the temperature where ΔA1g = A1g(T = 310 K) − A1g(T). d Left panel: band diagram at the heterojunction along the vertical direction at lower temperature. Right panel: filling of trap states by photocarriers from FLG and a stronger Fermi tail enhances doping at higher temperature. Additional energy is required to ionize the trion, due to filling of lower energy states in the conduction band

We note from Fig. 2a that by changing the sample temperature, the X peak can be shifted from 2.016 eV at 296 K to 1.945 eV at 463 K (ΔE = 71 meV). Thus, using a 1.9591-eV excitation at different sample temperatures, we can effectively scan the entire spectral range around X and X, as shown by the red arrows in Fig. 2c, d. At ~353 K, 1.9591-eV photons resonantly excite the X peak. With an increase in temperature, around 373 K, the photons with the same energy resonantly excite the spectral overlap region of X and X. With further increase in temperature, around 430 K, the X peak is resonantly excited. Figure 4a, b illustrate the PL intensity in a color plot acquired from the isolated WS2 portion and the junction for 1.9591-eV excitation. The vertical and the horizontal axes represent the excitation and the detected photon energy relative to the X peak. The individual spectrum at each temperature is shown in Supplementary Information S4, where the higher energy tail is truncated by the edge filter due to near-resonant excitation.

Fig. 4
figure 4

Temperature-dependent photoluminescence with 1.9591-eV excitation. Color plot of the PL intensity acquired from a the isolated WS2 portion and b the junction, at 1.9591-eV excitation. The vertical and the horizontal axes represent the excitation and the detected photon energy relative to the A1s peak. The sharp Raman peaks are discernable in b due to PL quenching.44 The open circles represent the energy points that are 35 meV below the trion peak position, with the peak at the red circle, corresponding to Fig. 6b. The horizontal dashed line represents the excitation position that gives the maximum photocurrent

We now discuss the effect of such excitation tuning on the photocarrier transport through the junction. The inset of Fig. 5a shows the current–voltage (I − Vext) characteristics of the vertical device under dark condition at 296 K, when biased from −10 to 10 mV. The ohmic nature of the junction suggests a strong carrier tunneling between the top and bottom graphene through the WS2 barrier. Such tunneling process can be further assisted by bandgap states due to defects typically present in TMDC films. When the TMDC-based photodetector devices are excited with light, the bandgap states in TMDCs often result in photogating as well as photoconductive gain in the dc photocurrent.39 In order to minimize such effects for understanding the intrinsic photocarrier transport mechanism, we measure the transient photocurrent, as shown for four representative temperatures in Fig. 5a, b using 2.33- and 1.9591-eV excitations, all measured at zero Vext. The asymmetric doping in the top FLG layer and the SiO2 substrate supported the MLG layer results in such built-in potential. The extremely thin nature of monolayer WS2 causes a strong built-in field, allowing us to achieve a strong zero-bias photocurrent. The step rise in the photocurrent (Iph) is measured at different temperatures (T) in the range of 296–463 K for both the excitation wavelengths, and plotted as a function of T in Fig. 5c. The photocurrent is found to be negligible when the laser spot is away from the junction. To confirm that there is no heating-induced degradation in the device, we repeat the measurement cycle three times, and the variation in photocurrent from one cycle to the other is negligible.

Fig. 5
figure 5

Photocurrent from the heterojunction. a, b The transient photocurrent (Iph) at zero external bias at four sample temperatures (296, 331, 373, and 413 K) with two different excitation energies, a 2.33 eV (off-resonant) and b 1.9591 eV (resonant). Both rise time and fall time are smaller than ~10 ms, which is the resolution of the measurement setup. Inset of a: current–voltage characteristics in the dark at 296 K. c Measured photocurrent, as obtained by averaging over several cycles, as a function of sample temperature with 2.33-eV (in green) and 1.9591 -eV (in red) excitation. d Schematic band diagram representing two photocurrent mechanisms when excited with 2.33-eV photons, namely, WS2 absorption (left panel) and graphene absorption (right panel)

Iph increases monotonically with T for off-resonant (2.33 eV) excitation, while it is strongly non-monotonic for resonant (1.9591 eV) excitation, suggesting fundamentally different photocurrent mechanisms at play in these two cases. For 2.33-eV excitation, the photocurrent results from both absorption in WS2 as well as in graphene. With encapsulation by graphene from top and bottom, the exciton binding energy reduces in WS2, as well as there is a reduction in the continuum level due to bandgap renormalization.40 Photons with an energy of 2.33 eV are then likely in the WS2 continuum level, creating electron–hole pairs, followed by separation by the built-in field. However, the sharp band offset at the WS2/graphene interface on both sides of WS2 can significantly nullify any net photocurrent out of this process,41 as illustrated in the left panel in Fig. 5d. This suggests that light absorbed by graphene is likely the primary contributor to the photocurrent. The hot carriers generated in the top FLG relax in an ultrafast (~picosecond) timescale.42,43 However, since interlayer transfer can also happen in a similar timescale,18,19,20,21 a fraction of the photoelectrons in FLG is injected through WS2, aided by the built-in field, and collected in the bottom MLG, producing a photocurrent (right panel of Fig. 5d). Both over the WS2 barrier (thermionic process) as well as tunneling through WS2 are possible for these hot photoelectrons. With an increase in T, the n-type doping in WS2 enhances, as explained earlier. This helps to reduce the effective barrier height for the electrons in FLG to be injected through WS2, in turn resulting in an increment in the photocurrent. Consequently, the photocurrent exhibits a monotonically increasing behavior with an increase in temperature.

On the other hand, when 1.9591-eV excitation is used, we observe enhanced Iph coupled with a strong non-monotonic behavior. To get insights, we re-plot Iph (normalized as \(\frac{{I_{{\mathrm{ph}}}(T) - I_{{\mathrm{ph,min}}}}}{{I_{{\mathrm{ph,max}}}}}\)) versus T in Fig. 6a–c (in blue). In Fig. 6a, we also show the relative position of the excitation with respect to the X and X peaks. The dips to zero (represented by black arrows) indicate resonance excitation with the X and X peaks. The data show that the peak of Iph does not occur when the excitation is in resonance with either the exciton or the trion, but rather Iph peaks somewhere in-between. On the other hand, the magnitude of the photocurrent strongly correlates with the temperature-dependent PL intensity of the trion (in orange spheres), as indicated in Fig. 6b—unambiguously proving that the photocurrent stems from the formation of the trion. Note that, due to near-resonant excitation with 1.9591 eV, the X peak position is cut off by the edge filter and is thus not visible in a large part of the temperature range. In order to plot for the entire temperature range in Fig. 6b, we choose a position that is 35 meV below the X peak, where the X peak position is already determined by the 2.33-eV excitation in Fig. 2. While plotting the temperature-dependent trion PL intensity, we normalize as \(\frac{{PL(T) - PL_{{\mathrm{min}}}}}{{PL_{{\mathrm{max}}}}}\). The corresponding points are shown by open circles in the PL intensity color plot in Fig. 4b, with the peak PL intensity of a trion (peak Iph) marked by a red circle (dashed line). As a contrast, the trion intensity monotonically increases with T in isolated WS2, shown by olive spheres in Fig. 6b. The spectral position of the excitation is illustrated by the red arrow for five different characteristic temperatures in Fig. 6d, where the fitted exciton and trion spectra are separately shown. As shown in Fig. 6c, Iph (and hence the X intensity) also shows an excellent correlation with the overlap height H (defined pictorially in the third panel in Fig. 6d) between the exciton and the trion at the excitation position. While plotting, H is normalized by the overlap area between X and X. Note that the peak Iph occurs when the excitation energy is resonant (at 373 K) with the strongest overlap region between the exciton and the trion.

Fig. 6
figure 6

Exciton–trion coupling and trion transport probed by a resonant photocurrent. a The normalized photocurrent (in blue spheres, the same right axis for ac) as a function of temperature, with 1.9591-eV excitation. The relative position of the 1.9591-eV excitation (left axis) with respect to the X (in a green sphere) and X (in a red sphere). The dips, indicated by black arrows correspond to the excitation resonant to the exciton and the trion peaks. b Normalized intensity at 35 meV below the trion peak for a junction (in orange spheres, left axis) and for an isolated WS2 (in olive spheres) with 1.9591-eV excitation. The corresponding positions are shown by open circles in Fig. 4b. c Temperature-dependent height of the XX overlap region (magenta spheres on the left axis) at the excitation position (1.9591 eV), normalized by the XX spectral overlap area. d PL spectra at five different temperatures, with fitted X and X peaks. The excitation position is shown with the red arrow. H is explained in the middle panel. e The schematic of the mechanism of the charge transport at the same temperatures. The excitation is shown by the red dotted line. The black dashed rectangle represents the XX spectral overlap. The middle panel represents the peak photocurrent situation. The electron from top FLG hops to the resonantly formed trion state, followed by trion transfer to bottom MLG

Such a strong tunability of the photocurrent by scanning the exciton–trion spectral overlap region suggests the crucial role of ultrafast trion formation in the observed photocurrent. Trion, unlike neutral excitons, being a quasiparticle with a net charge, can play an active role in the generation of the photocurrent. However, in order to contribute to the photocurrent in the present vertical heterostructure, a trion must be formed at a timescale that is shorter than the ultrafast interlayer transport of excitons. It has been shown in the past that a trion can be formed through both coherent and incoherent coupling with excitons.12,22,23,24,25 The incoherent coupling takes a few picoseconds through phonon emission,23,24 which is larger than the interlayer transfer time,18,19,20,21 and is unlikely to play a significant role in the present device. This suggests that coherent formation of a trion through Coulomb interaction between excitons and electrons plays the primary role in the photocurrent generation. On the junction, these electrons can be efficiently supplied by the top FLG. When the incident photons are resonant with the spectral overlap region of the exciton and the trion, such coherent coupling is strongly enhanced. At low temperature, the lower energy side of the exciton peak is often attributed to defect-bound excitons.24 However, in our case, the deconvolution of the fitted X peak using a Voigt function suggests that while the inhomogeneous (Gaussian component) broadening is strong and remains a weak function of temperature, the homogeneous (Lorentzian component) broadening increases steadily with temperature due to activated exciton–phonon scattering (see Supplementary Information S5). Thus, the lower energy side of the exciton peak can be efficiently contributed from a free exciton as well in the present device. The ultrafast energy transfer between the exciton and the trion at excitation resonant to the exciton–trion overlap allows an efficient formation of a trion before the exciton is transferred to graphene. Once a trion is formed, a fraction of it is quickly transported to the bottom MLG layer, forming a net charge current flow. Thus, the trion state acts like an intermediate many-body state in the sandwiched monolayer WS2, which mediates the photoelectron transport from the top FLG film to the bottom MLG film, resulting in a strong photocurrent. The mechanism is schematically illustrated at different temperature points in Fig. 6e. The peak photocurrent corresponds to panel 3, which resonantly excites the exciton–trion spectral overlap at 373 K. As soon as the incident photon energy becomes off-resonant to the exciton–trion spectral overlap region on either side (see panels 1 and 2 for a lower energy side, and panels 3 and 4 for a higher energy side of the exciton–trion spectral overlap region), this transport mechanism becomes inefficient, suppressing the photocurrent, and resulting in the overall non-monotonicity of the observed photocurrent. Thus, at the peak photocurrent, we achieve an ultrafast formation of a trion through efficient exciton–trion coherent coupling, followed by a vertical transfer and subsequent electrical detection of the trion. The efficiency of the process is controlled by the spectral location of the excitation as the excitation scans through the exciton–trion spectral overlap region.

In summary, we demonstrated a technique by which using an excitation with fixed photon energy and variable sample temperature, we obtain a high-resolution spectral scan of the sample. By exploiting this technique, we perform a spectral scan around the exciton–trion overlap region in an asymmetric vertical few-layer graphene/monolayer WS2/monolayer graphene heterojunction to demonstrate a unique interlayer charge transport mechanism mediated by a coherently formed many-body (trion) state. The efficiency of this transport mechanism can be effectively tuned by scanning the excitation across the exciton–trion spectral overlap. This provides us a knob to control the vertical charge transport by tuning the degree of exciton–trion coupling. This marks a direct probing of coherent coupling between the exciton and the trion by the electrical detection of the trion and would be useful for fast optoelectronic applications. In general, trion being a heavy particle, is not ideally suited for in-plane charge transport due to poor mobility. However, this work demonstrates the possibility of ultrafast trion transport through vertical interlayer transfer. Such ultrafast interlayer trion transport can occur before valley and spin depolarization and thus opens up pathways for electrical probing of valley and spin dynamics. Further, the demonstration of the enhanced stability of a trion at elevated temperatures and its electrical detection is appealing for trion-based optoelectronics without the need for any cooling apparatus.

Methods

Device fabrication

We prepare a stack of MLG/monolayer WS2/FLG by using dry transfer technique on a highly doped Si substrate coated with 285-nm-thick thermally grown oxide. This stack is heated on a hot plate at 80 °C for 2 min for improved adhesion between layers. Devices are fabricated using standard nanofabrication methods. The substrate is spin coated with PMMA 950C3 and baked on a hot plate at 180 °C for 2 min. This is followed by electron beam lithography with an acceleration voltage of 20 kV, an electron beam current of 230 pA, and an electron beam dose of 210 μC cm−2. Patterns are developed using MIBK:IPA solution in the ratio 1:3. Later, the samples are washed in IPA and dried in N2 blow. Ten-nanometer Ni/50-nm Au films are deposited by using DC magnetron sputtering at 3 × 10−3 mBar. Metal liftoff is done by dipping the substrate in acetone for 15 min, followed by washing in IPA and N2 drying. The oxide at the backside of the wafer is etched by dilute HF solution.

Photocurrent measurement

Devices are mounted on a Linkam thermal stage which is connected to a heater. The laser beam (2.33 or 1.9591 eV) is focussed through a ×50 objective to these devices with a spot size of ~2 μm. The devices are electrically probed using micromanipulators and Keithley 2636B is used as source meter. Temperature of the stage is stepped from 296 to 463 K. At each temperature, photocurrent and in situ photoluminescence measurements are carried out. The reported photocurrent values are obtained by averaging over several cycles.

Data availability

Data are available on reasonable request from the authors.

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Acknowledgements

This work was supported in part by a grant under Indian Space Research Organization (ISRO), by the grants under Ramanujan Fellowship, Early Career Award, and Nano Mission from the Department of Science and Technology (DST), and by a grant from MHRD, MeitY, and DST Nano Mission through NNetRA. S.K. acknowledges the support of a grant from SERB, DST through NPDF.

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K.M. designed the experiment. S.K. fabricated the devices. S.K. and S.D. performed the measurements. All authors contributed to the analysis of the data and writing of the paper. S.K. and S.D. contributed equally to this work.

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Correspondence to Kausik Majumdar.

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Kallatt, S., Das, S., Chatterjee, S. et al. Interlayer charge transport controlled by exciton–trion coherent coupling. npj 2D Mater Appl 3, 15 (2019). https://doi.org/10.1038/s41699-019-0097-3

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