Tuning commensurability in twisted van der Waals bilayers

Li, Yanxing; Zhang, Fan; Ha, Viet-Anh; Lin, Yu-Chuan; Dong, Chengye; Gao, Qiang; Liu, Zhida; Liu, Xiaohui; Ryu, Sae Hee; Kim, Hyunsue; Jozwiak, Chris; Bostwick, Aaron; Watanabe, Kenji; Taniguchi, Takashi; Kousa, Bishoy; Li, Xiaoqin; Rotenberg, Eli; Khalaf, Eslam; Robinson, Joshua A.; Giustino, Feliciano; Shih, Chih-Kang

doi:10.1038/s41586-023-06904-w

Title: Tuning commensurability in twisted van der Waals bilayers

Journal Article · 17 January 2024 · Nature (London)

DOI: https://doi.org/10.1038/s41586-023-06904-w · OSTI ID:2346125

Li, Yanxing ^[1]; Zhang, Fan ^[1]; Ha, Viet-Anh ^[1];

^[2]; Dong, Chengye ^[3]; Gao, Qiang ^[1]; Liu, Zhida ^[1]; Liu, Xiaohui ^[1];

^[4]; Kim, Hyunsue ^[1];

^[4];

^[5];

^[5]; Kousa, Bishoy ^[1];

^[1];

^[4];

^[1];

^[3];

^[1] more »

Univ. of Texas, Austin, TX (United States)
Pennsylvania State Univ., University Park, PA (United States); National Yang Ming Chiao Tung University, Hsinchu (Taiwan)
Pennsylvania State Univ., University Park, PA (United States)
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)
National Institute for Materials Science (NIMS), Tsukuba (Japan)

Moiré superlattices based on van der Waals bilayers created at small twist angles lead to a long wavelength pattern with approximate translational symmetry. At large twist angles (θ_t), 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 θ_t = 30° and the commensurate moiré crystals at θ_t = 21.8° and 38.2°. Further, 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.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2346125

Journal Information:: Nature (London), Journal Name: Nature (London) Journal Issue: 7995 Vol. 625; ISSN 0028-0836

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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