- Open Access
Purely electronic model for exciton-polaron formation in moiré heterostructures
Phys. Rev. Research 8, 023140 – Published 11 May, 2026
DOI: https://doi.org/10.1103/98wg-qcfn
Abstract
Understanding interactions between excitons and correlated electronic states presents a fundamental challenge in quantum many-body physics. Here, we introduce a purely electronic model for the formation of exciton polarons in moiré lattices. Unlike conventional approaches that treat excitons as tightly bound bosonic particles, our model considers only electronic degrees of freedom, describing excitons as electron-hole bound states. Our findings reveal a pronounced renormalization of the polaron mass as a function of electron density, particularly near correlated insulators, consistent with recent transport experiments. Additionally, we predict an observable sign change in the effective polaron mass when increasing the electron density that can be measured in Hall-type experiments. Our purely electronic model provides a unified framework to investigate the formation and renormalization of exciton polarons in correlated states.
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References (70)
- E. C. Regan, D. Wang, C. Jin, M. I. Bakti Utama, B. Gao, X. Wei, S. Zhao, W. Zhao, Z. Zhang, K. Yumigeta, M. Blei, J. D. Carlström, K. Watanabe, T. Taniguchi, S. Tongay, M. Crommie, A. Zettl, and F. Wang, Mott and generalized Wigner crystal states in moiré superlattices, Nature (London) 579, 359 (2020).
- Y. Shimazaki, I. Schwartz, K. Watanabe, T. Taniguchi, M. Kroner, and A. Imamoğlu, Strongly correlated electrons and hybrid excitons in a moiré heterostructure, Nature (London) 580, 472 (2020).
- Y. Xu, S. Liu, D. A. Rhodes, K. Watanabe, T. Taniguchi, J. Hone, V. Elser, K. F. Mak, and J. Shan, Correlated insulating states at fractional fillings of moiré superlattices, Nature (London) 587, 214 (2020).
- Y. Shimazaki, C. Kuhlenkamp, I. Schwartz, T. Smolenski, K. Watanabe, T. Taniguchi, M. Kroner, R. Schmidt, M. Knap, and A. İmamoğlu, Optical signatures of charge order in a Mott-Wigner state, Phys. Rev. X 11, 021027 (2021).
- T. Smoleński, P. E. Dolgirev, C. Kuhlenkamp, A. Popert, Y. Shimazaki, P. Back, M. Kroner, K. Watanabe, T. Taniguchi, I. Esterlis, E. Demler, and A. İmamoğlu, Observation of Wigner crystal of electrons in a monolayer semiconductor, Nature (London) 595, 53 (2021).
- L. Ciorciaro, T. Smoleński, I. Morera, N. Kiper, S. Hiestand, M. Kroner, Y. Zhang, K. Watanabe, T. Taniguchi, E. Demler, and A. İmamoğlu, Kinetic magnetism in triangular moiré materials, Nature (London) 623, 509 (2023).
- Y. Tang, K. Su, L. Li, Y. Xu, S. Liu, K. Watanabe, T. Taniguchi, J. Hone, C.-M. Jian, C. Xu, K. F. Mak, and J. Shan, Evidence of frustrated magnetic interactions in a Wigner–Mott insulator, Nat. Nanotechnol. 18, 233 (2023).
- J. Gu, L. Ma, S. Liu, K. Watanabe, T. Taniguchi, J. C. Hone, J. Shan, and K. F. Mak, Dipolar excitonic insulator in a moiré lattice, Nat. Phys. 18, 395 (2022).
- Z. Zhang, E. C. Regan, D. Wang, W. Zhao, S. Wang, M. Sayyad, K. Yumigeta, K. Watanabe, T. Taniguchi, S. Tongay, M. Crommie, A. Zettl, M. P. Zaletel, and F. Wang, Correlated interlayer exciton insulator in heterostructures of monolayer and moiré , Nat. Phys. 18, 1214 (2022).
- A. B. Mhenni, W. Kadow, M. J. Metelski, A. O. Paulus, A. Dijkstra, K. Watanabe, T. Taniguchi, S. A. Tongay, M. Barbone, J. J. Finley, M. Knap, and N. P. Wilson, Gate-tunable Bose-Fermi mixture in a strongly correlated moiré bilayer electron system, arXiv:2410.07308.
- P. Rivera, J. R. Schaibley, A. M. Jones, J. S. Ross, S. Wu, G. Aivazian, P. Klement, K. Seyler, G. Clark, N. J. Ghimire, J. Yan, D. G. Mandrus, W. Yao, and X. Xu, Observation of long-lived interlayer excitons in monolayer heterostructures, Nat. Commun. 6, 6242 (2015).
- K. Tran et al., Evidence for moiré excitons in van der Waals heterostructures, Nature (London) 567, 71 (2019).
- K. L. Seyler, P. Rivera, H. Yu, N. P. Wilson, E. L. Ray, D. G. Mandrus, J. Yan, W. Yao, and X. Xu, Signatures of moiré-trapped valley excitons in heterobilayers, Nature (London) 567, 66 (2019).
- C. Jin, E. C. Regan, A. Yan, M. Iqbal Bakti Utama, D. Wang, S. Zhao, Y. Qin, S. Yang, Z. Zheng, S. Shi, K. Watanabe, T. Taniguchi, S. Tongay, A. Zettl, and F. Wang, Observation of moiré excitons in heterostructure superlattices, Nature (London) 567, 76 (2019).
- H. Baek, M. Brotons-Gisbert, Z. X. Koong, A. Campbell, M. Rambach, K. Watanabe, T. Taniguchi, and B. D. Gerardot, Highly energy-tunable quantum light from moiré-trapped excitons, Sci. Adv. 6, eaba8526 (2020).
- S. Miao, T. Wang, X. Huang, D. Chen, Z. Lian, C. Wang, M. Blei, T. Taniguchi, K. Watanabe, S. Tongay, Z. Wang, D. Xiao, Y.-T. Cui, and S.-F. Shi, Strong interaction between interlayer excitons and correlated electrons in moiré superlattice, Nat. Commun. 12, 3608 (2021).
- X. Wang, J. Zhu, K. L. Seyler, P. Rivera, H. Zheng, Y. Wang, M. He, T. Taniguchi, K. Watanabe, J. Yan, D. G. Mandrus, D. R. Gamelin, W. Yao, and X. Xu, Moiré trions in heterobilayers, Nat. Nanotechnol. 16, 1208 (2021).
- H. Park, J. Zhu, X. Wang, Y. Wang, W. Holtzmann, T. Taniguchi, K. Watanabe, J. Yan, L. Fu, T. Cao, D. Xiao, D. R. Gamelin, H. Yu, W. Yao, and X. Xu, Dipole ladders with large Hubbard interaction in a moiré exciton lattice, Nat. Phys. 19, 1286 (2023).
- F. Kai, X. Wang, Y. Xie, Y. Yang, K. Watanabe, T. Taniguchi, H. Yu, W. Yao, and X. Cui, Distinct moiré exciton dynamics in / heterostructure, Quantum Front. 4, 2 (2025).
- N. Kiper, H. S. Adlong, A. Christianen, M. Kroner, K. Watanabe, T. Taniguchi, and A. İmamoğlu, Confined trions and Mott-Wigner states in a purely electrostatic moiré potential, Phys. Rev. X 15, 011049 (2025).
- L. M. Devenica, Z. Hadjri, J. Kumlin, R. Li, W. Li, D. S. Forrero, V. Vento, N. Ubrig, S. Liu, J. Hone, K. Watanabe, T. Taniguchi, T. Pohl, and A. Srivastava, Signatures of collective photon emission and ferroelectric ordering of excitons near their Mott insulating state in a heterobilayer, Nat. Mater. 25, 755 (2026).
- J. Choi, W.-T. Hsu, L.-S. Lu, L. Sun, H.-Y. Cheng, M.-H. Lee, J. Quan, K. Tran, C.-Y. Wang, M. Staab, K. Jones, T. Taniguchi, K. Watanabe, M.-W. Chu, S. Gwo, S. Kim, C.-K. Shih, X. Li, and W.-H. Chang, Moiré potential impedes interlayer exciton diffusion in van der Waals heterostructures, Sci. Adv. 6, eaba8866 (2020).
- L. Yuan, B. Zheng, J. Kunstmann, T. Brumme, A. B. Kuc, C. Ma, S. Deng, D. Blach, A. Pan, and L. Huang, Twist-angle-dependent interlayer exciton diffusion in heterobilayers, Nat. Mater. 19, 617 (2020).
- E. Malic, R. Perea-Causin, R. Rosati, D. Erkensten, and S. Brem, Exciton transport in atomically thin semiconductors, Nat. Commun. 14, 3430 (2023).
- A. Rossi, J. Zipfel, I. Maity, M. Lorenzon, M. Dandu, E. Barré, L. Francaviglia, E. C. Regan, Z. Zhang, J. H. Nie, E. S. Barnard, K. Watanabe, T. Taniguchi, E. Rotenberg, F. Wang, J. Lischner, A. Raja, and A. Weber-Bargioni, Anomalous interlayer exciton diffusion in moiré heterostructure, ACS Nano 18, 18202 (2024).
- P. Upadhyay, D. G. Suárez-Forero, T.-S. Huang, M. J. Mehrabad, B. Gao, S. Sarkar, D. Session, K. Watanabe, T. Taniguchi, Y. Zhou, M. Knap, and M. Hafezi, Giant enhancement of exciton diffusion near an electronic Mott insulator, Science 391, 394 (2026).
- L. Yan, L. Ma, Y. Meng, C. Xiao, B. Chen, Q. Wu, J. Cui, Q. Cao, R. Banerjee, T. Taniguchi, K. Watanabe, S. A. Tongay, B. Hunt, Y.-T. Cui, W. Yao, and S.-F. Shi, Anomalously enhanced diffusivity of moiré excitons via manipulating the interplay with correlated electrons, Nat. Commun. 16, 10569 (2025).
- G. Mazza and A. Amaricci, Strongly correlated exciton-polarons in twisted homobilayer heterostructures, Phys. Rev. B 106, L241104 (2022).
- W. Knorr, S. Brem, G. Meneghini, and E. Malic, Exciton transport in a moiré potential: From hopping to dispersive regime, Phys. Rev. Mater. 6, 124002 (2022).
- N. Götting, F. Lohof, and C. Gies, Moiré-Bose-Hubbard model for interlayer excitons in twisted transition metal dichalcogenide heterostructures, Phys. Rev. B 105, 165419 (2022).
- T.-S. Huang, Y.-Z. Chou, C. L. Baldwin, F. Wu, and M. Hafezi, Mott-moiré excitons, Phys. Rev. B 107, 195151 (2023).
- T.-S. Huang, P. Lunts, and M. Hafezi, Nonbosonic moiré excitons, Phys. Rev. Lett. 132, 186202 (2024).
- W. Knorr, S. Brem, G. Meneghini, and E. Malic, Polaron-induced changes in moiré exciton propagation in twisted van der Waals heterostructures, Nanoscale 16, 8996 (2024).
- A. Julku, S. Ding, and G. M. Bruun, Exciton interacting with a moiré lattice: Polarons, strings, and optical probing of spin correlations, Phys. Rev. Res. 6, 033119 (2024).
- T.-S. Huang, Y.-X. Wang, Y.-Q. Wang, D. Chang, M. Hafezi, and A. Grankin, Collective optical properties of moiré excitons, Phys. Rev. Lett. 134, 176901 (2025).
- H. Zheng, C. Li, H. Yu, and W. Yao, Förster valley-orbit coupling and topological lattice of hybrid moiré excitons, Commun. Phys. 8, 193 (2025).
- A. M. Shentsev and M. M. Glazov, Electromagnetic field assisted exciton diffusion in moiré superlattices, Phys. Rev. B 111, 045301 (2025).
- B. Evrard, H. S. Adlong, A. A. Ghita, T. Uto, L. Ciorciaro, K. Watanabe, T. Taniguchi, M. Kroner, and A. İmamoğlu, ac Stark spectroscopy of interactions between moiré excitons and polarons, Phys. Rev. X 15, 021002 (2025).
- W. Yi and X. Cui, Polarons in ultracold Fermi superfluids, Phys. Rev. A 92, 013620 (2015).
- V. E. Colussi, F. Caleffi, C. Menotti, and A. Recati, Lattice polarons across the superfluid to Mott insulator transition, Phys. Rev. Lett. 130, 173002 (2023).
- I. Amelio, Two-dimensional polaron spectroscopy of Fermi superfluids, Phys. Rev. B 107, 104519 (2023).
- M. Santiago-García, S. G. Castillo-López, and A. Camacho-Guardian, Lattice polaron in a Bose–Einstein condensate of hard-core bosons, New J. Phys. 26, 063015 (2024).
- I. Amelio and N. Goldman, Polaron spectroscopy of interacting Fermi systems: Insights from exact diagonalization, SciPost Phys. 16, 056 (2024).
- I. Amelio, G. Mazza, and N. Goldman, Polaron formation in insulators and the key role of hole scattering processes in band insulators, charge density waves, and Mott transitions, Phys. Rev. B 110, 235302 (2024).
- F. Chevy, Universal phase diagram of a strongly interacting Fermi gas with unbalanced spin populations, Phys. Rev. A 74, 063628 (2006).
- M. Sidler, P. Back, O. Cotlet, A. Srivastava, T. Fink, M. Kroner, E. Demler, and A. Imamoglu, Fermi polaron-polaritons in charge-tunable atomically thin semiconductors, Nat. Phys. 13, 255 (2017).
- L. Dettwiller, O. Cotlet, and R. Schmidt, Exciton–polarons in two-dimensional semiconductors and the Tavis–Cummings model, Comptes Rendus Phys. 22, 89 (2021).
- P. Rivera, H. Yu, K. L. Seyler, N. P. Wilson, W. Yao, and X. Xu, Interlayer valley excitons in heterobilayers of transition metal dichalcogenides, Nat. Nanotechnol. 13, 1004 (2018).
- E. Torun, H. P. C. Miranda, A. Molina-Sánchez, and L. Wirtz, Interlayer and intralayer excitons in and heterobilayers, Phys. Rev. B 97, 245427 (2018).
- E. Liu, E. Barré, J. van Baren, M. Wilson, T. Taniguchi, K. Watanabe, Y.-T. Cui, N. M. Gabor, T. F. Heinz, Y.-C. Chang, and C. H. Lui, Signatures of moiré trions in heterobilayers, Nature (London) 594, 46 (2021).
- X. Wang, X. Zhang, J. Zhu, H. Park, Y. Wang, C. Wang, W. G. Holtzmann, T. Taniguchi, K. Watanabe, J. Yan, D. R. Gamelin, W. Yao, D. Xiao, T. Cao, and X. Xu, Intercell moiré exciton complexes in electron lattices, Nat. Mater. 22, 599 (2023).
- R. Combescot and S. Giraud, Normal state of highly polarized Fermi gases: Full many-body treatment, Phys. Rev. Lett. 101, 050404 (2008).
- L. Wang, E.-M. Shih, A. Ghiotto, L. Xian, D. A. Rhodes, C. Tan, M. Claassen, D. M. Kennes, Y. Bai, B. Kim, K. Watanabe, T. Taniguchi, X. Zhu, J. Hone, A. Rubio, A. N. Pasupathy, and C. R. Dean, Correlated electronic phases in twisted bilayer transition metal dichalcogenides, Nat. Mater. 19, 861 (2020).
- X. Huang, T. Wang, S. Miao, C. Wang, Z. Li, Z. Lian, T. Taniguchi, K. Watanabe, S. Okamoto, D. Xiao, S.-F. Shi, and Y.-T. Cui, Correlated insulating states at fractional fillings of the moiré lattice, Nat. Phys. 17, 715 (2021).
- H. Li, S. Li, E. C. Regan, D. Wang, W. Zhao, S. Kahn, K. Yumigeta, M. Blei, T. Taniguchi, K. Watanabe, S. Tongay, A. Zettl, M. F. Crommie, and F. Wang, Imaging two-dimensional generalized Wigner crystals, Nature (London) 597, 650 (2021).
- A. G. Salvador, C. Kuhlenkamp, L. Ciorciaro, M. Knap, and A. İmamoğlu, Optical signatures of periodic magnetization: The moiré Zeeman effect, Phys. Rev. Lett. 128, 237401 (2022).
- F. Pichler, W. Kadow, C. Kuhlenkamp, and M. Knap, Probing magnetism in moiré heterostructures with quantum twisting microscopes, Phys. Rev. B 110, 045116 (2024).
- N. Morales-Durán, N. C. Hu, P. Potasz, and A. H. MacDonald, Non-local interactions in moiré Hubbard systems, Phys. Rev. Lett. 128, 217202 (2022).
- R. Combescot, A. Recati, C. Lobo, and F. Chevy, Normal state of highly polarized Fermi gases: Simple many-body approaches, Phys. Rev. Lett. 98, 180402 (2007).
- S. Nascimbène, N. Navon, K. J. Jiang, L. Tarruell, M. Teichmann, J. McKeever, F. Chevy, and C. Salomon, Collective oscillations of an imbalanced Fermi gas: Axial compression modes and polaron effective mass, Phys. Rev. Lett. 103, 170402 (2009).
- N. Navon, S. Nascimbène, F. Chevy, and C. Salomon, The equation of state of a low-temperature Fermi gas with tunable interactions, Science 328, 729 (2010).
- J. M. Ziman, Transport properties, in Principles of the Theory of Solids (Cambridge University Press, Cambridge, UK, 1972), pp. 211–254.
- O. Mehio, X. Li, H. Ning, Z. Lenarčič, Y. Han, M. Buchhold, Z. Porter, N. J. Laurita, S. D. Wilson, and D. Hsieh, A Hubbard exciton fluid in a photo-doped antiferromagnetic Mott insulator, Nat. Phys. 19, 1876 (2023).
- J. Cai, E. Anderson, C. Wang, X. Zhang, X. Liu, W. Holtzmann, Y. Zhang, F. Fan, T. Taniguchi, K. Watanabe, Y. Ran, T. Cao, L. Fu, D. Xiao, W. Yao, and X. Xu, Signatures of fractional quantum anomalous Hall states in twisted , Nature (London) 622, 63 (2023).
- Y. Zeng, Z. Xia, K. Kang, J. Zhu, P. Knüppel, C. Vaswani, K. Watanabe, T. Taniguchi, K. F. Mak, and J. Shan, Thermodynamic evidence of fractional Chern insulator in moiré , Nature (London) 622, 69 (2023).
- H. Park, J. Cai, E. Anderson, Y. Zhang, J. Zhu, X. Liu, C. Wang, W. Holtzmann, C. Hu, Z. Liu, T. Taniguchi, K. Watanabe, J.-H. Chu, T. Cao, L. Fu, W. Yao, C.-Z. Chang, D. Cobden, D. Xiao, and X. Xu, Observation of fractionally quantized anomalous Hall effect, Nature (London) 622, 74 (2023).
- F. Xu, Z. Sun, T. Jia, C. Liu, C. Xu, C. Li, Y. Gu, K. Watanabe, T. Taniguchi, B. Tong, J. Jia, Z. Shi, S. Jiang, Y. Zhang, X. Liu, and T. Li, Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer , Phys. Rev. X 13, 031037 (2023).
- J. Dong, T. Wang, T. Wang, T. Soejima, M. P. Zaletel, A. Vishwanath, and D. E. Parker, Anomalous Hall crystals in rhombohedral multilayer graphene. I. Interaction-driven Chern bands and fractional quantum Hall states at zero magnetic field, Phys. Rev. Lett. 133, 206503 (2024).
- Z. Dong, A. S. Patri, and T. Senthil, Theory of quantum anomalous Hall phases in pentalayer rhombohedral graphene moiré structures, Phys. Rev. Lett. 133, 206502 (2024).
- F. Pichler, M. Hafezi, and M. Knap, Purely electronic model for exciton-polaron formation in moiré heterostructures, Zenodo (2025), https://doi.org/10.5281/zenodo.14879210.