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# Direct exciton emission from atomically thin transition metal dichalcogenide heterostructures near the lifetime limit

## Abstract

We demonstrate the reduction of the inhomogeneous linewidth of the free excitons in atomically thin transition metal dichalcogenides (TMDCs) MoSe2, WSe2 and MoS2 by encapsulation within few nanometre thick hBN. Encapsulation is shown to result in a significant reduction of the 10 K excitonic linewidths down to 3.5 meV for n-MoSe2, 5.0  meV for p-WSe2 and 4.8 meV for n-MoS2. Evidence is obtained that the hBN environment effectively lowers the Fermi level since the relative spectral weight shifts towards the neutral exciton emission in n-doped TMDCs and towards charged exciton emission in p-doped TMDCs. Moreover, we find that fully encapsulated MoS2 shows resolvable exciton and trion emission even after high power density excitation in contrast to non-encapsulated materials. Our findings suggest that encapsulation of mechanically exfoliated few-monolayer TMDCs within nanometre thick hBN dramatically enhances optical quality, producing ultra-narrow linewidths that approach the homogeneous limit.

## Introduction

In the group of atomically thin two-dimensional (2D) materials the transition metal dichalcogenides MoS2, MoSe2, WS2 and WSe2 reveal fascinating photophysical properties owing to their direct gap and strong light-matter interactions1,2. The weak dielectric screening results in emission dominated by excitonic processes, with exciton binding energies on the order of several hundred meV3,4 that follow a non-hydrogenic Rydberg series5. However, in the vast majority of reports to date the linewidths of the free excitons exhibit significant inhomogeneous broadening. This is typically attributed to the local spatial inhomogeneity of the substrate, adsorbed atoms and molecules on the surface due to the large surface-to-volume ratio and different doping and dielectric screening conditions that are highly sensitive to the choice of substrate. Broad linewidths of the exciton emission of 50 meV for MoS2 6, 40–75 meV for WS2 7,8, 5 meV for MoSe2 9 and 10 meV for WSe2 10 have been reported in photoluminescence experiments(PL), while time-domain spectroscopy11,12,13 and recent theory14 report homogeneously broadened luminescence linewidths in the range of 2–6 meV depending on the material system. The healing of sulphur defects using sulphuric superacids increases the optical quantum yield and reduces the linewidths at room temperature15,16,17 from 70 meV to 55 meV. However, low temperature studies of treated MoS2 monolayers17 show that the linewidths still remain in the order of 15 meV. Very recently, it has been shown that MoS2 is particularly sensitive to photo-induced irreversible changes resulting in broad luminescence from overlapping neutral and charged exciton emission18. Measurements performed using ultra-low excitation power densities reveal distinct peaks for neutral and charged excitons with linewidths of 15 meV for MoS2 similar to Se-based TMDCs18.

In this letter, we present an optical study of TMDCs encapsulated within hBN and demonstrate that encapsulation leads to a significant reduction of the linewidth observed in photoluminescence (PL) experiments, towards the radiative limit. We systematically probe modifications in the luminescence linewidth after each stacking step and extract key parameters such as the exciton peak position, relative intensities of exciton and trion recombination and peak linewidths. We also show that annealing of the heterostructure improves the spatial homogeneity of the TMDC and, thus, of the observed luminescence. From our results, we make three major observations upon hBN encapsulation: (i) the linewidths of free excitons are significantly reduced down to a few meV approaching the homogeneous linewidth limit, (ii) the surface is protected, preventing samples against irreversible photo-induced spectral changes and (iii) encapsulation effectively lowers the Fermi level, reducing emission from negatively charged excitons in MoSe2, while increasing the emission from positively charged excitons in WSe2 due to protection against physisorption and impurities from the substrate.

## Results and Discussion

### Photoluminescence of encapsulated MoSe2

To probe the impact of the proximal substrate and explore the benefits of hBN encapsulation, we performed spatially resolved PL measurements and statistically analyse the emission spectra at different positions on the sample surface. Note, in our analysis we disregard spectra recorded from the edge of the flake and obviously damaged parts of the sample, as identified by conventional light microscopy. From the measurements, we extract the peak positions, full widths at half maximum linewidths (FWHM) and relative intensities of the neutral exciton (X) and charged trion (T) by fitting with Lorentzian peaks. Figure 1 compares examples of spectra of MoSe2 on SiO2, MoSe2 on hBN, MoSe2 on hBN after annealing and MoSe2 sandwiched between hBN and after annealing. The corresponding statistical analysis of peak position, exciton linewidth and peak area for the different MoSe2/substrate configurations are shown in Fig. 1b–d, respectively. Note that in order to obtain the best comparison, in the case of MoSe2 on hBN we scan the same area after subsequent steps of stacking and annealing to trace the impact of the encapsulation on the spectral evolution. A typical spectrum recorded from MoSe2 on SiO2 is presented in Fig. 1a (top). It exhibits pronounced emission from trions, typically attributed to extrinsic effects such as doping from the substrate, mediated through trap states6,9,10,19 and intrinsic doping resulting from chalcogen vacancies and adsorbates that are reported to occur in mechanically exfoliated flakes20,21. We obtain a qualitative measure of the doping by analysing the areas of the neutral and charged exciton A X and A T and their relative spectral weight R = A T /(A T  + A X ). Figure 1b shows the peak areas, while the corresponding relative spectral weights are presented in Fig. 1c. The emission intensity for MoSe2 on SiO2 is higher for trions than for neutral excitons which is reflected by values of R > 0.5 in Fig. 1c. This remains unchanged when MoSe2 is stacked on top of 14 nm thick hBN, and also after annealing that only results in a slightly decreased total peak area. However, fully encapsulated MoSe2 exhibits a higher X peak-area compared to T with R < 0.5. This behaviour is indicative of an effective lowering of the Fermi level in the crystal inhibiting trion formation. We attribute this to protection against surface charge contributions from the SiO2 layer on the substrate material6, as hBN naturally shows low defect densities over large areas22. This effect is strongest in the fully encapsulated configuration. Since the MoSe2 is exposed to ambient conditions during and after fabrication in the previous configurations, the TMDC surfaces are free to physisorption of ambient molecules23,24, most likely H2O due to its polarity. Thus, we assume that the impact of the hBN substrate is reduced due to frozen adsorbates possibly at defects such as selenium vacancies on the TMDC surface.

Changes in the dielectric environment and doping can further influence the exciton peak positions and the linewidths (Fig. 1d) 25. Here, we directly correlate peak positions and linewidths. The exfoliated MoSe2 on SiO2 shows exciton peak positions of P X  = (1663.1 ± 1.2) meV and P T  = (1631.8 ± 1.3) meV with a binding energy of E T  31 meV which is typically observed in literature9,26. Stacking MoSe2 on hBN results only in a slight redshift by ΔE −2 meV and a slightly broader distribution as can be seen in Fig. 1b. This redshift is consistent with recent calculations25 and measurements27 considering the change in the refractive index of the substrate from $${{n}}_{{{SiO}}_{{2}}}=1.457$$ to n hBN  = 2.2 at the neutral exciton resonance28,29.

Annealing results in an additional redshift, and a total shift to a lower energy by ΔE −12 meV compared to pristine MoSe2. This is accompanied by a much broader distribution of peak positions. The sandwiched and annealed MoSe2 structure exhibits the strongest redshift of ΔE −12 meV. Yet, the statistical spread of the peak position distribution is significantly reduced from s X  = (6.8  ±  0.1) meV to s X  = (2.8  ±  0.1) meV (see Supplementary Fig. S2), as depicted in the bottom panel in Fig. 1d. Moreover, the trion binding energy decreases from E X  − E T  = (31 ± 3) meV to (28 ± 3) meV after the annealing step possibly resulting from the modification of the dielectric environment and a change in extrinsic doping25. In general, we observe that the symmetric dielectric hBN environment of the MoSe2 flake combined with annealing results in the sharpest distribution of emission energies, indicative of the highest homogeneity within the MoSe2 flake. The statistical analysis of the linewidths for MoSe2 on SiO2 reveals average values of w X  = (5.0 ± 0.5) meV and w T  = (7.0 ± 0.8) meV for X and T excitons, respectively. Stacking MoSe2 on hBN results in significantly higher linewidths of w X  = (6.3 ± 1.0) meV and w T  = (8.4 ± 1.3) meV with a much broader variation in obtained values. Annealing reduces the linewidth to w X  = (5.7 ± 1.5) meV and w T  = (4.8 ± 1.5) meV while capping with hBN further reduces the X linewidth to w X  = (4.7 ± 0.9) meV, keeping the T linewidth at w T  = (4.9 ± 1.3) meV. Interestingly, annealing reveals much higher variance of values which is significantly narrowed upon capping. However, for investigating the linewidths not only the average values are important but also the lowest values obtained. Importantly, for MoSe2 encapsulated in hBN we observe values as low as w X  3.5 meV, almost reaching the homogeneous linewidths recently reported in time-resolved four-wave-mixing experiments12,13 and theoretical calculations14 of w X  2.1 meV, w X  3.4 meV and w X  ~ 5.5 meV, for lattice temperatures of T = 6.5 K and 10 K, respectively.

With the dependence γ rad 1/n Substrate for the radiative linewidth broadening14,30, changing the substrate material reduces γ rad by a factor of $${n}_{{{\rm{S}}{\rm{i}}{\rm{O}}}_{2}}$$/n hBN ≈ 0.66. This then produces a radiative rate which would be quantitatively consistent with the narrowest linewidths measured in our study. Beside radiative broadening, primarily exciton-phonon coupling has been identified as broadening mechanism14. Moreover, we attribute the observed remaining broadening of the linewidth to spatial inhomogeneities of the TMDC as a result of the exfoliation procedure and residual polymer bubbles between the interfaces of the monolayer crystal and the surrounding hBN.

### Photoluminescence of encapsulated WSe2

We repeated the fabrication scheme and optical experiments discussed above for MoSe2 with WSe2. Since we found the most significant improvement in optical quality for TMDCs that are fully encapsulated in hBN, we compare only the two cases of WSe2 on SiO2 and WSe2 encapsulated in hBN after annealing. Typical spectra for WSe2 on hBN are presented in Fig. 2a. The relative spectral weights R are shown in Fig. 2b. Comparing the relative peak areas of the neutral and charged excitons, results in a trend opposite to that for MoSe2. For WSe2, the relative intensity of the charged exciton increases by a factor of two upon encapsulation with hBN. We explain this trend by the difference in intrinsic doping of TMDCs present in our experiments. The MoSe2 crystal employed in this work is n-doped, consistent with measurements on electrically contacted monolayer devices (see Supplementary Section S1), which results in a negatively charged exciton. In contrast, the WSe2 is p-doped, resulting in emission from positively charged excitons (see Supplementary Fig. S3). Thus, the hBN encapsulation enables a higher positively charged exciton formation rate.

Upon encapsulation, we observe a reduction of the neutral exciton emission linewidth from (10.3 ± 0.7) meV to (9.8 ± 1.4) meV, whilst the trion emission linewidth reduces from (10.1 ± 2.1) meV to (8.4 ± 1.9) meV. However, this effect is accompanied by a higher overall spread in the linewidth distribution for the capped material. A similar trend is observed for the distribution of peak positions. However, here only a slight redshift is observed. Notably, we observe linewidths as low as w X  5 meV for the neutral exciton and w T  5.5 meV. Recent four-wave-mixing measurements11,13 and theoretical work14 report and predict homogeneous linewidths of w X  6.1 meV, w X  4.7 meV and w X  6.5meV, respectively.

Optimised stacking processes, reducing bubble formation and wrinkling of the 2D materials could lead to desired purely lifetime broadened emission of the TMDCs.

### Photoluminescence of encapsulated MoS2

In addition to the Se based TMDCs, we also applied our encapsulation scheme to MoS2 which in past experiments showed comparatively broad emission from the A-exciton1,2,6. This is attributed to inhomogeneous broadening of the emission from neutral and charged excitons that is typically so large that the two peaks are not resolved. Typical PL from MoS2 exfoliated on SiO2 is presented in Fig. 3a. For very low excitation power densities of 0.33 kWcm−2, the spectrum (black curve) reveals emission from the neutral exciton X at (1947.4 ± 0.3) meV, charged excitons T at (1910.7 ± 0.3) meV and pronounced emission from the low energy L-peak is observed located 100 meV below X. This broad emission is attributed to defect-related exciton emission1,2,31. Upon increasing the excitation power density to 5.27 kWcm−2 (red curve in Fig. 3a) the emission from the neutral exciton vanishes while charged exciton emission dominates. Meanwhile the emission from the L-peak saturates, and its contribution reduces compared to the charged exciton emission. When further increasing the excitation power density to values as high as 83 kWcm−2 (blue curve in Fig. 3a), the emission merges to the broad A-exciton peak normally observed in luminescence studies of MoS2 with a linewidth of w A  (53.6 ± 0.8) meV2. Note that these photo-induced changes in the form of the PL spectrum in our studies were found to be irreversible, consistent with recent findings18. For the lowest excitation power densities investigated, the neutral and charged excitons exhibit linewidths of w X  (14.7 ± 0.7) meV and w T  (23.4 ± 0.8) meV. Here, a full statistical analysis was not possible due to the photo-induced changes in the optical spectra. In strong contrast, encapsulation of MoS2 and annealing significantly enhances the optical emission properties. The PL (Fig. 3b) exhibits bright emission from free excitons. The neutral exciton at (1955.8 ± 0.5) meV and the trion emission at (1926.2 ± 0.5) meV is now blue shifted by (8.4 ± 1.0) meV and (15.5 ± 1.0) meV compared to the MoS2 on SiO2 configuration, respectively. By comparing the bare monolayer on SiO2 at 5 kWcm−2 to the encapsulated MoS2 at 3 kWcm−2 (red curves in Fig. 3a and b), we observe that the relative spectral weight strongly shifts from 0.94 towards lower values of 0.75. This behaviour of the relative spectral weight of the charged trion emission indicates an effectively lowered Fermi level in the MoS2. The overall blueshift is accompanied by a strong decrease in X and T linewidths down to w X  (4.8 ± 1.0) meV and w T  (6.8 ± 0.9) meV, consistent with recent work by Dey et al.13 reporting a homogeneous linewidth of w X  6.6 meV in time-resolved four-wave-mixing measurements.

Importantly, we observe no emission from the L-peak indicative of defects and adsorbates1,2,31 for the fully encapsulated sample. Such features are observed for all other sample configurations, further highlighting the importance of surface protection. Furthermore, both exciton species are well resolved and we observe no photo-induced changes even for the highest excitation power (83 kWcm−2) used in our experiments.

## Conclusion

In summary, we have investigated the impact of hBN encapsulation on the optical properties of several TMDCs through statistically analysing low temperature photoluminescence experiments. Encapsulation distinctly reduces exciton linewidths and further protects the TMDCs against unwanted doping contributions from substrates or ambient molecules. Moreover, surface protection especially enhances the optical quality of MoS2, resulting in very clean spectra and revealing sharp emission from neutral and charged exciton without the presence of any irreversible photo-induced changes. Our findings suggest that encapsulation of TMDCs is essential for accessing the interesting photophysical properties of MoS2 and enables more sophisticated future optoelectronic devices.

During the writing of this manuscript we recognised related work reported by Cadiz et al.32 and Ajayi et al.33.

## Methods

### Sample preparation

The monolayer TMDCs studied in this letter are mechanically exfoliated onto degenerately n-doped Si substrates covered with a 285nm thick layer of wet-thermally grown SiO2. The heterostructures are stacked using the dry viscoelastic transfer method34, whereby we iteratively stacked hBN/TMDC/hBN onto the Si/SiO2 substrate. The hBN layer thicknesses range from 10nm to 70nm (AFM measurements). After stacking, the heterostructures were annealed at 150 K for 20 min to remove water and polymer accumulated into bubbles and improve the sample homogeneity (see Supplementary Fig. S1).

### μ-PL measurements

All photoluminescence (PL) experiments were performed using a confocal microscope at 10 K. The continuous-wave excitation energy was kept at 2.33 eV (Nd:YAG) and an excitation power density of 0.66 kWcm−2, unless otherwise noted. The spatial mode field diameter of the focal spot (1/e 2 contour) was 1.1 μm. The detected light was filtered with a steep fluorescence filter with a transmission cut-on energy 11.7 meV below the laser excitation energy.

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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## Acknowledgements

We gratefully acknowledge financial support from ExQM PhD programme of the Elite Network of Bavaria, the German Excellence Initiative via the Nanosystems Initiative Munich (NIM), the Deutsche Forschungsgemeinschaft (DFG) through the TUM International Graduate School of Science and Engineering (IGSSE) and the International Max Planck Research School for Quantum Science and Technology (IMPRS-QST). KM acknowledges support from the Bavarian Academy of Sciences and Humanities.

## Author information

### Affiliations

1. #### Walter Schottky Institut and Physik Department, Technische Universität München, Am Coulombwall 4, 85748, Garching, Germany

• Jakob Wierzbowski
• , Julian Klein
• , Florian Sigger
• , Christian Straubinger
• , Malte Kremser
• , Ursula Wurstbauer
• , Alexander W. Holleitner
• , Michael Kaniber
• , Kai Müller
•  & Jonathan J. Finley
2. #### Nanosystems Initiative Munich (NIM), Schellingstr, 4, 80799, Munich, Germany

• Jakob Wierzbowski
• , Julian Klein
• , Ursula Wurstbauer
• , Alexander W. Holleitner
• , Michael Kaniber
•  & Jonathan J. Finley
3. #### National Institute for Materials Science, Tsukuba, Ibaraki, 305-0044, Japan

• Takashi Taniguchi
•  & Kenji Watanabe

### Contributions

J.W. and J.K. contributed equally. J.W., J.K., K.M., M.Ka. and J.J.F. conceived and designed the experiments. F.S., C.S. and J.K. prepared the samples. T.T. and K.W. provided hBN bulk material. U.W. and A.W.H. provided the WSe2 crystal. J.W., J.K., F.S, C.S. and M.Kr. performed the optical measurements, J.K. and J.W. analysed the data, J.W., J.K. wrote the manuscript with input from all authors.

### Competing Interests

The authors declare that they have no competing interests.

### Corresponding author

Correspondence to Jakob Wierzbowski.