Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Nonmonotonic Band Flattening near the Magic Angle of Twisted Bilayer MoTe2

Yujun Deng1,*, William Holtzmann2, Ziyan Zhu1,3, Timothy Zaklama4, Paulina Majchrzak5, Takashi Taniguchi6, Kenji Watanabe7, Makoto Hashimoto8, Donghui Lu8 et al.

Chris Jozwiak9, Aaron Bostwick9, Eli Rotenberg9, Liang Fu4, Thomas P. Devereaux1,10, Xiaodong Xu2,11, and Zhi-Xun Shen1,5,12,13,†

  • *Contact author: yjdeng@stanford.edu
  • †Contact author: zxshen@stanford.edu

Phys. Rev. X 15, 041043 – Published 5 December, 2025

DOI: https://doi.org/10.1103/q11l-9jy1

Abstract

Twisted bilayer MoTe2 (tMoTe2) is an emergent platform for exploring exotic quantum phases driven by the interplay between nontrivial band topology and strong electron correlations. Direct experimental access to its momentum-resolved electronic structure is essential for uncovering the microscopic origins of the correlated topological phases therein. Here, we report angle-resolved photoemission spectroscopy measurements of tMoTe2, revealing pronounced twist-angle-dependent band reconstruction shaped by orbital character, interlayer coupling, and moiré potential modulation. Density functional theory captures the qualitative evolution, yet underestimates key energy scales across twist angles, highlighting the importance of electronic correlations. Notably, the hole effective mass at the K point exhibits a nonmonotonic dependence on twist angle, peaking near 2°, consistent with band flattening at the magic angle predicted by continuum models. Via electrostatic gating and surface dosing, we further visualize the evolution of electronic structure versus doping, enabling direct observation of the conduction band minimum and confirm tMoTe2 as a direct band gap semiconductor. These results establish a spectroscopic foundation for modeling and engineering emergent quantum phases in this moiré platform.

View figure in article

Physics Subject Headings (PhySH)

Popular Summary

Article Text

Supplemental Material

References (46)

  1. L. Balents, C. R. Dean, D. K. Efetov, and A. F. Young, Superconductivity and strong correlations in moiré flat bands, Nat. Phys. 16, 725 (2020).
  2. E. Y. Andrei and A. H. MacDonald, Graphene bilayers with a twist, Nat. Mater. 19, 1265 (2020).
  3. D. M. Kennes, M. Claassen, L. Xian, A. Georges, A. J. Millis, J. Hone, C. R. Dean, D. N. Basov, A. N. Pasupathy, and A. Rubio, Moiré heterostructures as a condensed-matter quantum simulator, Nat. Phys. 17, 155 (2021).
  4. 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).
  5. Y. Cao et al., Correlated insulator behaviour at half-filling in magic-angle graphene superlattices, Nature (London) 556, 80 (2018).
  6. L. Wang et al., Correlated electronic phases in twisted bilayer transition metal dichalcogenides, Nat. Mater. 19, 861 (2020).
  7. Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, Unconventional superconductivity in magic-angle graphene superlattices, Nature (London) 556, 43 (2018).
  8. Y. Guo et al., Superconductivity in 5.0° twisted bilayer WSe2, Nature (London) 637, 839 (2025).
  9. M. Serlin, C. L. Tschirhart, H. Polshyn, Y. Zhang, J. Zhu, K. Watanabe, T. Taniguchi, L. Balents, and A. F. Young, Intrinsic quantized anomalous Hall effect in a moiré heterostructure, Science 367, 900 (2020).
  10. J. Cai et al., Signatures of fractional quantum anomalous Hall states in twisted MoTe2, Nature (London) 622, 63 (2023).
  11. F. Xu et al., Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2, Phys. Rev. X 13, 031037 (2023).
  12. 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).
  13. 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).
  14. H. Park et al., Observation of fractionally quantized anomalous Hall effect, Nature (London) 622, 74 (2023).
  15. 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).
  16. E. Redekop et al., Direct magnetic imaging of fractional Chern insulators in twisted MoTe2, Nature (London) 635, 584 (2024).
  17. F. Xu et al., Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2, Nat. Phys. 21, 542 (2025).
  18. H. Park et al., Ferromagnetism and topology of the higher flat band in a fractional Chern insulator, Nat. Phys. 21, 549 (2025).
  19. C. Wang, X.-W. Zhang, X. Liu, Y. He, X. Xu, Y. Ran, T. Cao, and D. Xiao, Fractional Chern insulator in twisted bilayer MoTe2, Phys. Rev. Lett. 132, 036501 (2024).
  20. Y. Jia, J. Yu, J. Liu, J. Herzog-Arbeitman, Z. Qi, H. Pi, N. Regnault, H. Weng, B. A. Bernevig, and Q. Wu, Moiré fractional Chern insulators. I. First-principles calculations and continuum models of twisted bilayer MoTe2, Phys. Rev. B 109, 205121 (2024).
  21. W.-X. Qiu, B. Li, X.-J. Luo, and F. Wu, Interaction-driven topological phase diagram of twisted bilayer MoTe2, Phys. Rev. X 13, 041026 (2023).
  22. 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).
  23. 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).
  24. See Supplemental Material at http://link.aps.org/supplemental/10.1103/q11l-9jy1 for additional ARPES data, AFM cleaning procedures, and detailed DFT and continuum model calculations.
  25. L. Waldecker et al., Rigid band shifts in two-dimensional semiconductors through external dielectric screening, Phys. Rev. Lett. 123, 206403 (2019).
  26. 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).
  27. W. Zhao et al., Synthesis and electronic structure of atomically thin 2H-MoTe2, Nanoscale 17, 10901 (2025).
  28. Y. Liu et al., Imaging moiré flat bands and wigner molecular crystals in twisted bilayer MoTe2, arXiv:2406.19310.
  29. C. Sahoo et al., Quasiparticle gap renormalization driven by internal and external screening in a WS2 device, Phys. Rev. Lett. 135, 056401 (2025).
  30. P. V. Nguyen et al., Visualizing electrostatic gating effects in two-dimensional heterostructures, Nature (London) 572, 220 (2019).
  31. C. Ruppert, B. Aslan, and T. F. Heinz, Optical properties and band gap of single- and few-layer MoTe2 crystals, Nano Lett. 14, 6231 (2014).
  32. I. G. Lezama, A. Arora, A. Ubaldini, C. Barreteau, E. Giannini, M. Potemski, and A. F. Morpurgo, Indirect-to-direct band gap crossover in few-layer MoTe2, Nano Lett. 15, 2336 (2015).
  33. F. Wu, T. Lovorn, E. Tutuc, and A. H. MacDonald, Hubbard model physics in transition metal dichalcogenide moiré bands, Phys. Rev. Lett. 121, 026402 (2018).
  34. M. Angeli and A. H. MacDonald, Γ valley transition metal dichalcogenide moiré bands, Proc. Natl. Acad. Sci. U.S.A. 118, e2021826118 (2021).
  35. C. Chen et al., Visualizing electronic structure of twisted bilayer MoTe2 in devices, arXiv:2509.09080.
  36. Y. Deng et al., Dataset for nonmonotonic band flattening near the magic angle of twisted bilayer MoTe2, Zenodo (2025), 10.5281/zenodo.17504164.
  37. H. Kim et al., Imaging inter-valley coherent order in magic-angle twisted trilayer graphene, Nature (London) 623, 942 (2023).
  38. K. Kim et al., van der Waals heterostructures with high accuracy rotational alignment, Nano Lett. 16, 1989 (2016).
  39. S. Xie et al., Strong interlayer interactions in bilayer and trilayer moiré superlattices, Sci. Adv. 8, eabk1911 (2022).
  40. G. Kresse and J. Hafner, Ab initio molecular dynamics for liquid metals, Phys. Rev. B 47, 558 (1993).
  41. G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54, 11169 (1996).
  42. S. Grimme, Semiempirical GGA-type density functional constructed with a long-range dispersion correction, J. Comput. Chem. 27, 1787 (2006).
  43. K. Lee, É. D. Murray, L. Kong, B. I. Lundqvist, and D. C. Langreth, Higher-accuracy van der Waals density functional, Phys. Rev. B 82, 081101(R) (2010).
  44. D. Chakraborty, K. Berland, and T. Thonhauser, Next-generation nonlocal van der Waals density functional, J. Chem. Theory Comput. 16, 5893 (2020).
  45. H. Peng, Z.-H. Yang, J. P. Perdew, and J. Sun, Versatile van der Waals density functional based on a meta-generalized gradient approximation, Phys. Rev. X 6, 041005 (2016).
  46. J. Ning, M. Kothakonda, J. W. Furness, A. D. Kaplan, S. Ehlert, J. G. Brandenburg, J. P. Perdew, and J. Sun, Workhorse minimally empirical dispersion-corrected density functional with tests for weakly bound systems: r2SCAN+rVV 10, Phys. Rev. B 106, 075422 (2022).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation