Abstract
Moiré excitons are emergent optical excitations in two-dimensional semiconductors with moiré superlattice potentials. Although these excitations have been observed on several platforms, a system with dynamically tunable moiré potential to tailor their properties is yet to be realized. Here we present a continuously tunable moiré potential in monolayer WSe2, enabled by its proximity to twisted bilayer graphene (TBG) near the magic angle. By tuning local charge density via gating, TBG provides a spatially varying and dynamically tunable dielectric superlattice for modulation of monolayer WSe2 exciton wave functions. We observed emergent moiré exciton Rydberg branches with increased energy splitting following doping of TBG due to exciton wave function hybridization between bright and dark Rydberg states. In addition, emergent Rydberg states can probe strongly correlated states in TBG at the magic angle. Our study provides a new platform for engineering moiré excitons and optical accessibility to electronic states with small correlation gaps in TBG.
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Data availability
Source data are provided with this paper. All other data are available from the corresponding author on reasonable request.
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References
Andrei, E. Y. et al. The marvels of moiré materials. Nat. Rev. Mater. 6, 201–206 (2021).
Kennes, D. M. et al. Moiré heterostructures as a condensed-matter quantum simulator. Nat. Phys. 17, 155–163 (2021).
Mak, K. F. & Shan, J. Semiconductor moiré materials. Nat. Nanotechnol. 17, 686–695 (2022).
Yu, H., Liu, G.-B., Tang, J., Xu, X. & Yao, W. Moiré excitons: from programmable quantum emitter arrays to spin-orbit–coupled artificial lattices. Sci. Adv. 3, e1701696 (2017).
Seyler, K. L. et al. Signatures of moiré-trapped valley excitons in MoSe2/WSe2 heterobilayers. Nature 567, 66–70 (2019).
Jin, C. et al. Observation of moiré excitons in WSe2/WS2 heterostructure superlattices. Nature 567, 76–80 (2019).
Tran, K. et al. Evidence for moiré excitons in van der Waals heterostructures. Nature 567, 71–75 (2019).
Huang, D., Choi, J., Shih, C.-K. & Li, X. Excitons in semiconductor moiré superlattices. Nat. Nanotechnol. 17, 227–238 (2022).
Naik, M. H. et al. Intralayer charge-transfer moiré excitons in van der Waals superlattices. Nature 609, 52–57 (2022).
Zhang, L. et al. Van der Waals heterostructure polaritons with moiré-induced nonlinearity. Nature 591, 61–65 (2021).
Baek, H. et al. Highly energy-tunable quantum light from moiré-trapped excitons. Sci. Adv. 6, eaba8526 (2020).
Wu, F., Lovorn, T. & MacDonald, A. H. Topological exciton bands in moiré heterojunctions. Phys. Rev. Lett. 118, 147401 (2017).
Chen, D. et al. Excitonic insulator in a heterojunction moiré superlattice. Nat. Phys. 18, 1171–1176 (2022).
Tang, Y. et al. Simulation of Hubbard model physics in WSe2/WS2 moiré superlattices. Nature 579, 353–358 (2020).
Gu, J. et al. Dipolar excitonic insulator in a moiré lattice. Nat. Phys. 18, 395–400 (2022).
Zhang, Z. et al. Correlated interlayer exciton insulator in heterostructures of monolayer WSe2 and moiré WS2/WSe2. Nat. Phys. 18, 1214–1220 (2022).
Shabani, S. et al. Deep moiré potentials in twisted transition metal dichalcogenide bilayers. Nat. Phys. 17, 720–725 (2021).
Li, H. et al. Imaging moiré flat bands in three-dimensional reconstructed WSe2/WS2 superlattices. Nat. Mater. 20, 945–950 (2021).
Chernikov, A. et al. Exciton binding energy and nonhydrogenic Rydberg series in monolayer WS2. Phys. Rev. Lett. 113, 076802 (2014).
Raja, A. et al. Coulomb engineering of the bandgap and excitons in two-dimensional materials. Nat. Commun. 8, 15251 (2017).
He, K. et al. Tightly bound excitons in monolayer WSe2. Phys. Rev. Lett. 113, 026803 (2014).
Wang, G. et al. Giant enhancement of the optical second-harmonic emission of WSe2 monolayers by laser excitation at exciton resonances. Phys. Rev. Lett. 114, 097403 (2015).
Utama, M. I. B. et al. A dielectric-defined lateral heterojunction in a monolayer semiconductor. Nat. Electron. 2, 60–65 (2019).
Xu, Y. et al. Creation of moiré bands in a monolayer semiconductor by spatially periodic dielectric screening. Nat. Mater. 20, 645–649 (2021).
Yang, X.-C., Yu, H. & Yao, W. Chiral excitonics in monolayer semiconductors on patterned dielectrics. Phys. Rev. Lett. 128, 217402 (2022).
Xie, Y. et al. Spectroscopic signatures of many-body correlations in magic-angle twisted bilayer graphene. Nature 572, 101–105 (2019).
Kerelsky, A. et al. Maximized electron interactions at the magic angle in twisted bilayer graphene. Nature 572, 95–100 (2019).
Choi, Y. et al. Electronic correlations in twisted bilayer graphene near the magic angle. Nat. Phys. 15, 1174–1180 (2019).
Jones, A. M. et al. Optical generation of excitonic valley coherence in monolayer WSe2. Nat. Nanotechnol. 8, 634–638 (2013).
Mak, K. F. et al. Tightly bound trions in monolayer MoS2. Nat. Mater. 12, 207–211 (2013).
Wagner, K. et al. Autoionization and dressing of excited excitons by free carriers in monolayer WSe2. Phys. Rev. Lett. 125, 267401 (2020).
Lamouche, G. & Lépine, Y. Ground-state energy of an exciton in a quantum-dot superlattice grown on a terraced substrate. Phys. Rev. B 54, 4811–4819 (1996).
Tkach, N. V., Makhanets, A. M. & Zegryae, G. G. Electrons, holes, and excitons in a superlattice composed of cylindrical quantum dots with extremely weak coupling between quasiparticles in neighboring layers of quantum dots. Semiconductors 36, 511–518 (2002).
Suris, R. A. Wannier–Mott excitons in semiconductors with a superlattice. Semiconductors 49, 807–813 (2015).
Stier, A. V. et al. Magnetooptics of exciton Rydberg states in a monolayer semiconductor. Phys. Rev. Lett. 120, 057405 (2018).
Goryca, M. et al. Revealing exciton masses and dielectric properties of monolayer semiconductors with high magnetic fields. Nat. Commun. 10, 4172 (2019).
Semina, M. A. & Suris, R. A. Localized excitons and trions in semiconductor nanosystems. Phys. Uspekhi 65, 111–130 (2022).
Bistritzer, R. & MacDonald, A. H. Moiré bands in twisted double-layer graphene. Proc. Natl Acad. Sci. USA 108, 12233–12237 (2011).
Cao, Y. et al. Correlated insulator behaviour at half-filling in magic-angle graphene superlattices. Nature 556, 80–84 (2018).
Cao, Y. et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature 556, 43–50 (2018).
Yankowitz, M. et al. Tuning superconductivity in twisted bilayer graphene. Science 363, eaav1910 (2019).
Lu, X. et al. Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene. Nature 574, 653–657 (2019).
Sharpe, A. L. et al. Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene. Science 365, 605–608 (2019).
Serlin, M. et al. Intrinsic quantized anomalous Hall effect in a moiré heterostructure. Science 367, 900–903 (2020).
Arora, H. S. et al. Superconductivity in metallic twisted bilayer graphene stabilized by WSe2. Nature 583, 379–384 (2020).
Lin, J.-X. et al. Spin-orbit–driven ferromagnetism at half moiré filling in magic-angle twisted bilayer graphene. Science 375, 437–441 (2022).
Polski, R. et al. Hierarchy of symmetry breaking correlated phases in twisted bilayer graphene. Preprint at arXiv https://doi.org/10.48550/arxiv.2205.05225 (2022).
Lian, B. et al. Twisted bilayer graphene. IV. Exact insulator ground states and phase diagram. Phys. Rev. B 103, 205414 (2021).
Popert, A. et al. Optical sensing of fractional quantum Hall effect in graphene. Nano Lett. 22, 7363–7369 (2022).
Acknowledgements
We thank J. L. Li and H. Yu for helpful discussions. This work was supported mainly by the US Department of Energy Basic Energy Sciences under award no. DE-SC0018171 (to X.X., M.H. and J.C.). Sample fabrication was partially supported by the ARO MURI programme (grant no. W911NF-18-1-0431 to M.H.). Electrical transport measurement was partially supported by the US National Science Foundation through the UW Molecular Engineering Materials Center, a Materials Research Science and Engineering Center (no. DMR-1719797 to X.X. and M.Y.). STM/spectroscopy measurement is supported by the Center on Programmable Quantum Materials, an Energy Frontier Research Center funded by the US Department of Energy, Office of Science, Basic Energy Sciences, under award no. DE-SC0019443 (to A.P. and E.S.). Work at the University of Hong Kong is supported by the Research Grants Council of Hong Kong SAR (nos. AoE/P-701/20 and HKU SRFS2122-7S05 to W.Y. and H.Z.). W.Y. also acknowledges support by the New Cornerstone Science Foundation. K.W. and T.T. acknowledge support from JSPS KAKENHI (grant nos. 19H05790, 20H00354 and 21H05233). X.X. acknowledges support from the State of Washington-funded Clean Energy Institute and from the Boeing Distinguished Professorship in Physics.
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M.H. and J.C. performed transport and optical reflection measurements, under the supervision of X.X. and M.Y. M.H. fabricated samples. M.H., J.C., M.Y., W.Y. and X.X. analysed and interpreted results. H.Z. and W.Y. performed theoretical calculations. E.S. and A.P. performed STM measurements and analysed results. J.Y. synthesized and characterized bulk WSe2 crystals. T.T. and K.W. synthesized h-BN crystals. M.H., X.X., W.Y., J.C. and H.Z. wrote the paper with input from all authors. All authors discussed the results.
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He, M., Cai, J., Zheng, H. et al. Dynamically tunable moiré exciton Rydberg states in a monolayer semiconductor on twisted bilayer graphene. Nat. Mater. 23, 224–229 (2024). https://doi.org/10.1038/s41563-023-01713-y
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DOI: https://doi.org/10.1038/s41563-023-01713-y
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