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Tuning commensurability in twisted van der Waals bilayers

Author

Listed:
  • Yanxing Li

    (The University of Texas at Austin)

  • Fan Zhang

    (The University of Texas at Austin)

  • Viet-Anh Ha

    (The University of Texas at Austin
    The University of Texas at Austin)

  • Yu-Chuan Lin

    (Pennsylvania State University
    National Yang Ming Chiao Tung University)

  • Chengye Dong

    (Pennsylvania State University)

  • Qiang Gao

    (The University of Texas at Austin)

  • Zhida Liu

    (The University of Texas at Austin)

  • Xiaohui Liu

    (The University of Texas at Austin)

  • Sae Hee Ryu

    (Lawrence Berkeley National Laboratory)

  • Hyunsue Kim

    (The University of Texas at Austin)

  • Chris Jozwiak

    (Lawrence Berkeley National Laboratory)

  • Aaron Bostwick

    (Lawrence Berkeley National Laboratory)

  • Kenji Watanabe

    (National Institute for Materials Science)

  • Takashi Taniguchi

    (National Institute for Materials Science)

  • Bishoy Kousa

    (The University of Texas at Austin)

  • Xiaoqin Li

    (The University of Texas at Austin)

  • Eli Rotenberg

    (Lawrence Berkeley National Laboratory)

  • Eslam Khalaf

    (The University of Texas at Austin)

  • Joshua A. Robinson

    (Pennsylvania State University)

  • Feliciano Giustino

    (The University of Texas at Austin
    The University of Texas at Austin)

  • Chih-Kang Shih

    (The University of Texas at Austin)

Abstract

Moiré superlattices based on van der Waals bilayers1–4 created at small twist angles lead to a long wavelength pattern with approximate translational symmetry. At large twist angles (θt), moiré patterns are, in general, incommensurate except for a few discrete angles. Here we show that large-angle twisted bilayers offer distinctly different platforms. More specifically, by using twisted tungsten diselenide bilayers, we create the incommensurate dodecagon quasicrystals at θt = 30° and the commensurate moiré crystals at θt = 21.8° and 38.2°. Valley-resolved scanning tunnelling spectroscopy shows disparate behaviours between moiré crystals (with translational symmetry) and quasicrystals (with broken translational symmetry). In particular, the K valley shows rich electronic structures exemplified by the formation of mini-gaps near the valence band maximum. These discoveries demonstrate that bilayers with large twist angles offer a design platform to explore moiré physics beyond those formed with small twist angles.

Suggested Citation

  • Yanxing Li & Fan Zhang & Viet-Anh Ha & Yu-Chuan Lin & Chengye Dong & Qiang Gao & Zhida Liu & Xiaohui Liu & Sae Hee Ryu & Hyunsue Kim & Chris Jozwiak & Aaron Bostwick & Kenji Watanabe & Takashi Taniguc, 2024. "Tuning commensurability in twisted van der Waals bilayers," Nature, Nature, vol. 625(7995), pages 494-499, January.
    • Handle: RePEc:nat:nature:v:625:y:2024:i:7995:d:10.1038_s41586-023-06904-w
    DOI: 10.1038/s41586-023-06904-w
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