Tuning commensurability in twisted van der Waals bilayers

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 Taniguchi, Bishoy Kousa, Xiaoqin Li, Eli Rotenberg, Eslam Khalaf, Joshua A. Robinson, Feliciano Giustino and Chih-Kang Shih ()
Additional contact information
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
Yu-Chuan Lin: Pennsylvania State 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
Chih-Kang Shih: The University of Texas at Austin

Nature, 2024, vol. 625, issue 7995, 494-499

Abstract: 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.

Date: 2024
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DOI: 10.1038/s41586-023-06904-w

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