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Probing Quantum Anomalous Hall States in Twisted Bilayer WSe2 via Attractive Polaron Spectroscopy

Beini Gao1, Mahdi Ghafariasl1,*, Mahmoud Jalali Mehrabad1,*, Tsung-Sheng Huang1,*, Lifu Zhang2, Deric Session1, Pranshoo Upadhyay1, Rundong Ma3, Ghadah Alshalan1 et al.

Daniel Suarez1, Supratik Sarkar1, Suji Park4, Houk Jang4, Kenji Watanabe5, Takashi Taniguchi5, Ming Xie6,7, You Zhou2,†, and Mohammad Hafezi1,‡

  • *These authors contributed equally to this work.
  • †Contact author: youzhou@umd.edu
  • ‡Contact author: hafezi@umd.edu

Phys. Rev. X 16, 021037 – Published 18 May, 2026

DOI: https://doi.org/10.1103/259w-bpxx

Abstract

Moiré superlattices in semiconductors exhibit a rich variety of interaction-induced topological states, including quantum anomalous Hall (QAH) effects [1–8]. A recent study hinted that twisted WSe2 homobilayer (tWSe2) could host a QAH state but lacked direct evidence of ferromagnetism, a key hallmark of this phase [9]. Here, we report the first direct evidence of QAH states in tWSe2 with spontaneous ferromagnetism. Specifically, we employ polarization-resolved attractive polaron spectroscopy on a dual-gated, 2° tWSe2 and observe direct signatures of spontaneous time-reversal symmetry breaking at hole filling ν=1. Together with a Chern number (C) measurement via Streda formula analysis, we identify this magnetized state as a topological state, characterized by C=1. Furthermore, we demonstrate that these topological and magnetic properties are tunable via a finite displacement field, between a QAH ferromagnetic state and an antiferromagnetic state. Our findings position tWSe2 as a highly versatile, stable, and optically addressable platform for investigating topological order and strong correlations in two-dimensional landscapes.

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References (59)

  1. J. Cai, E. Anderson, C. Wang, X. Zhang, X. Liu, W. Holtzmann, Y. Zhang, F. Fan, T. Taniguchi, K. Watanabe et al., Signatures of fractional quantum anomalous Hall states in twisted MoTe2, Nature (London) 622, 63 (2023).
  2. 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 MoTe2, Nature (London) 622, 69 (2023).
  3. H. Park, J. Cai, E. Anderson, Y. Zhang, J. Zhu, X. Liu, C. Wang, W. Holtzmann, C. Hu, Z. Liu et al., Observation of fractionally quantized anomalous Hall effect, Nature (London) 622, 74 (2023).
  4. F. Xu, Z. Sun, T. Jia, C. Liu, C. Xu, C. Li, Y. Gu, K. Watanabe, T. Taniguchi, B. Tong et al., Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2, Phys. Rev. X 13, 031037 (2023).
  5. Z. Ji, H. Park, M. E. Barber, C. Hu, K. Watanabe, T. Taniguchi, J.-H. Chu, X. Xu, and Z.-X. Shen, Local probe of bulk and edge states in a fractional Chern insulator, Nature (London) 635, 578 (2024).
  6. E. Redekop, C. Zhang, H. Park, J. Cai, E. Anderson, O. Sheekey, T. Arp, G. Babikyan, S. Salters, K. Watanabe et al., Direct magnetic imaging of fractional Chern insulators in twisted MoTe2, Nature (London) 635, 584 (2024).
  7. F. Xu, X. Chang, J. Xiao, Y. Zhang, F. Liu, Z. Sun, N. Mao, N. Peshcherenko, J. Li, K. Watanabe et al., Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2, Nat. Phys. 21, 542 (2025).
  8. H. Park, J. Cai, E. Anderson, X.-W. Zhang, X. Liu, W. Holtzmann, W. Li, C. Wang, C. Hu, Y. Zhao et al., Ferromagnetism and topology of the higher flat band in a fractional Chern insulator, Nat. Phys. 21, 549 (2025).
  9. B. A. Foutty, C. R. Kometter, T. Devakul, A. P. Reddy, K. Watanabe, T. Taniguchi, L. Fu, and B. E. Feldman, Mapping twist-tuned multiband topology in bilayer WSe2, Science 384, 343 (2024).
  10. Y. Xia, Z. Han, K. Watanabe, T. Taniguchi, J. Shan, and K. F. Mak, Superconductivity in twisted bilayer WSe2, Nature (London) 637, 833 (2025).
  11. Y. Guo, J. Pack, J. Swann, L. Holtzman, M. Cothrine, K. Watanabe, T. Taniguchi, D. G. Mandrus, K. Barmak, J. Hone et al., Superconductivity in 5.0° twisted bilayer WSe2, Nature (London) 637, 839 (2025).
  12. A. Weston, E. G. Castanon, V. Enaldiev, F. Ferreira, S. Bhattacharjee, S. Xu, H. Corte-León, Z. Wu, N. Clark, A. Summerfield et al., Interfacial ferroelectricity in marginally twisted 2D semiconductors, Nat. Nanotechnol. 17, 390 (2022).
  13. 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 WSe2/WS2 moiré superlattices, Nature (London) 579, 359 (2020).
  14. Y. Tang, L. Li, T. Li, Y. Xu, S. Liu, K. Barmak, K. Watanabe, T. Taniguchi, A. H. MacDonald, J. Shan et al., Simulation of Hubbard model physics in WSe2/WS2 moiré superlattices, Nature (London) 579, 353 (2020).
  15. R. Xiong, J. H. Nie, S. L. Brantly, P. Hays, R. Sailus, K. Watanabe, T. Taniguchi, S. Tongay, and C. Jin, Correlated insulator of excitons in WSe2/WS2 moiré superlattices, Science 380, 860 (2023).
  16. B. Gao, D. G. Suárez-Forero, S. Sarkar, T.-S. Huang, D. Session, M. J. Mehrabad, R. Ni, M. Xie, P. Upadhyay, J. Vannucci et al., Excitonic Mott insulator in a Bose-Fermi-Hubbard system of moiré WS2/WSe2 heterobilayer, Nat. Commun. 15, 2305 (2024).
  17. 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).
  18. Y. Zhou, J. Sung, E. Brutschea, I. Esterlis, Y. Wang, G. Scuri, R. J. Gelly, H. Heo, T. Taniguchi, K. Watanabe et al., Bilayer Wigner crystals in a transition metal dichalcogenide heterostructure, Nature (London) 595, 48 (2021).
  19. K. Kang, B. Shen, Y. Qiu, Y. Zeng, Z. Xia, K. Watanabe, T. Taniguchi, J. Shan, and K. F. Mak, Evidence of the fractional quantum spin Hall effect in moiré MoTe2, Nature (London) 628, 522 (2024).
  20. T. Li, S. Jiang, B. Shen, Y. Zhang, L. Li, Z. Tao, T. Devakul, K. Watanabe, T. Taniguchi, L. Fu et al., Quantum anomalous Hall effect from intertwined moiré bands, Nature (London) 600, 641 (2021).
  21. L. Ciorciaro, T. Smoleński, I. Morera, N. Kiper, S. Hiestand, M. Kroner, Y. Zhang, K. Watanabe, T. Taniguchi, E. Demler et al., Kinetic magnetism in triangular moiré materials, Nature (London) 623, 509 (2023).
  22. See Supplemental Material at http://link.aps.org/supplemental/10.1103/259w-bpxx for additional supporting figures, which includes Refs. [23,24].
  23. L. Zhang, L. Gu, R. Ni, M. Xie, S. Park, H. Jang, R. Ma, T. Taniguchi, K. Watanabe, and Y. Zhou, Electrical control and transport of tightly bound interlayer excitons in a MoSe2/hBN/MoSe2 heterostructure, Phys. Rev. Lett. 132, 216903 (2024).
  24. L. A. Jauregui, A. Y. Joe, K. Pistunova, D. S. Wild, A. A. High, Y. Zhou, G. Scuri, K. De Greve, A. Sushko, C.-H. Yu et al., Electrical control of interlayer exciton dynamics in atomically thin heterostructures, Science 366, 870 (2019).
  25. L. Wang, E.-M. Shih, A. Ghiotto, L. Xian, D. A. Rhodes, C. Tan, M. Claassen, D. M. Kennes, Y. Bai, B. Kim et al., Correlated electronic phases in twisted bilayer transition metal dichalcogenides, Nat. Mater. 19, 861 (2020).
  26. H. Pan, F. Wu, and S. Das Sarma, Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe2, Phys. Rev. Res. 2, 033087 (2020).
  27. J. Zang, J. Wang, J. Cano, and A. J. Millis, Hartree-fock study of the moiré Hubbard model for twisted bilayer transition metal dichalcogenides, Phys. Rev. B 104, 075150 (2021).
  28. D. Muñoz-Segovia, V. Crépel, R. Queiroz, and A. J. Millis, Twist-angle evolution of the intervalley-coherent antiferromagnet in twisted WSe2, Phys. Rev. B 112, 085111 (2025).
  29. F. Wu, T. Lovorn, E. Tutuc, I. Martin, and A. H. MacDonald, Topological insulators in twisted transition metal dichalcogenide homobilayers, Phys. Rev. Lett. 122, 086402 (2019).
  30. Y. Xie, A. T. Pierce, J. M. Park, D. E. Parker, E. Khalaf, P. Ledwith, Y. Cao, S. H. Lee, S. Chen, P. R. Forrester et al., Fractional Chern insulators in magic-angle twisted bilayer graphene, Nature (London) 600, 439 (2021).
  31. K. P. Nuckolls, M. Oh, D. Wong, B. Lian, K. Watanabe, T. Taniguchi, B. A. Bernevig, and A. Yazdani, Strongly correlated Chern insulators in magic-angle twisted bilayer graphene, Nature (London) 588, 610 (2020).
  32. E. M. Spanton, A. A. Zibrov, H. Zhou, T. Taniguchi, K. Watanabe, M. P. Zaletel, and A. F. Young, Observation of fractional Chern insulators in a van der Waals heterostructure, Science 360, 62 (2018).
  33. X.-W. Zhang, C. Wang, X. Liu, Y. Fan, T. Cao, and D. Xiao, Polarization-driven band topology evolution in twisted MoTe2 and WSe2, Nat. Commun. 15, 4223 (2024).
  34. T. Devakul, V. Crépel, Y. Zhang, and L. Fu, Magic in twisted transition metal dichalcogenide bilayers, Nat. Commun. 12, 6730 (2021).
  35. P. Knüppel, J. Zhu, Y. Xia, Z. Xia, Z. Han, Y. Zeng, K. Watanabe, T. Taniguchi, J. Shan, and K. F. Mak, Correlated states controlled by a tunable van Hove singularity in moiré WSe2 bilayers, Nat. Commun. 16, 1959 (2025).
  36. K. Kang, Y. Qiu, K. Watanabe, T. Taniguchi, J. Shan, and K. F. Mak, Double quantum spin Hall phase in moiré WSe2, Nano Lett. 24, 14901 (2024).
  37. A. Abouelkomsan and L. Fu, Non-Abelian spin Hall insulator, Phys. Rev. Res. 7, 023083 (2025).
  38. E. Anderson, F.-R. Fan, J. Cai, W. Holtzmann, T. Taniguchi, K. Watanabe, D. Xiao, W. Yao, and X. Xu, Programming correlated magnetic states with gate-controlled moiré geometry, Science 381, 325 (2023).
  39. V. Crépel and L. Fu, Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides, Phys. Rev. B 107, L201109 (2023).
  40. X. Chang et al., Emergent charge-transfer ferromagnetism and fractional Chern states in moiré MoTe2, arXiv:2503.13213.
  41. Y. Wang, J. Choe, E. Anderson, W. Li, J. Ingham, E. A. Arsenault, Y. Li, X. Hu, T. Taniguchi, K. Watanabe, X. Roy, D. Basov, D. Xiao, R. Queiroz, J. C. Hone, X. Xu, and X. Y. Zhu, Hidden states and dynamics of fractional fillings in tMoTe2 moiré superlattices, arXiv:2502.21153.
  42. E. Anderson, H. Park, K. Yang, J. Cai, T. Taniguchi, K. Watanabe, L. Fu, T. Cao, D. Xiao, and X. Xu, Magnetoelectric control of helical light emission in a moiré Chern magnet, arXiv:2503.02810.
  43. F. Xu, Z. Sun, J. Li, C. Zheng, C. Xu, J. Gao, T. Jia, K. Watanabe, T. Taniguchi, B. Tong, L. Lu, J. Jia, Z. Shi, S. Jiang, Y. Zhang, Y. Zhang, S. Lei, X. Liu, and T. Li, Signatures of unconventional superconductivity near reentrant and fractional quantum anomalous Hall insulators, arXiv:2504.06972.
  44. M. Xie, M. Hafezi, and S. Das Sarma, Long-lived topological flatband excitons in semiconductor moiré heterostructures: A bosonic Kane-Mele model platform, Phys. Rev. Lett. 133, 136403 (2024).
  45. H. Park, J. Zhu, X. Wang, Y. Wang, W. Holtzmann, T. Taniguchi, K. Watanabe, J. Yan, L. Fu, T. Cao et al., Dipole ladders with large hubbard interaction in a moiré exciton lattice, Nat. Phys. 19, 1286 (2023).
  46. Z. Lian, Y. Meng, L. Ma, I. Maity, L. Yan, Q. Wu, X. Huang, D. Chen, X. Chen, X. Chen et al., Valley-polarized excitonic Mott insulator in WS2/WSe2 moiré superlattice, Nat. Phys. 20, 34 (2024).
  47. M. Hafezi, A. S. Sørensen, E. Demler, and M. D. Lukin, Fractional quantum Hall effect in optical lattices, Phys. Rev. A 76, 023613 (2007).
  48. G. Möller and N. R. Cooper, Composite fermion theory for bosonic quantum Hall states on lattices, Phys. Rev. Lett. 103, 105303 (2009).
  49. Y.-F. Wang, Z.-C. Gu, C.-D. Gong, and D. N. Sheng, Fractional quantum Hall effect of hard-core bosons in topological flat bands, Phys. Rev. Lett. 107, 146803 (2011).
  50. N. Regnault and B. A. Bernevig, Fractional Chern insulator, Phys. Rev. X 1, 021014 (2011).
  51. T. Neupert, L. Santos, C. Chamon, and C. Mudry, Fractional quantum Hall states at zero magnetic field, Phys. Rev. Lett. 106, 236804 (2011).
  52. D. Sheng, Z.-C. Gu, K. Sun, and L. Sheng, Fractional quantum Hall effect in the absence of Landau levels, Nat. Commun. 2, 389 (2011).
  53. E. Tang, J.-W. Mei, and X.-G. Wen, High-temperature fractional quantum Hall states, Phys. Rev. Lett. 106, 236802 (2011).
  54. K. Sun, Z. Gu, H. Katsura, and S. Das Sarma, Nearly flatbands with nontrivial topology, Phys. Rev. Lett. 106, 236803 (2011).
  55. J. Bloch, A. Cavalleri, V. Galitski, M. Hafezi, and A. Rubio, Strongly correlated electron–photon systems, Nature (London) 606, 41 (2022).
  56. D. N. Basov, R. D. Averitt, D. Van Der Marel, M. Dressel, and K. Haule, Electrodynamics of correlated electron materials, Rev. Mod. Phys. 83, 471 (2011).
  57. M. McGinley, M. Fava, and S. A. Parameswaran, Signatures of fractional statistics in nonlinear pump-probe spectroscopy, Phys. Rev. Lett. 132, 066702 (2024).
  58. G. Nambiar, A. Grankin, and M. Hafezi, Diagnosing electronic phases of matter using photonic correlation functions, Phys. Rev. X 15, 041020 (2025).
  59. J. R. Vannucci, Magneto-optical response of WSe2 excitons in sub-Kelvin regime, Ph.D. dissertation, University of Maryland, College Park, College Park, USA, 2022.

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