1Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China 2School of Physical Sciences, University of Chinese Academy of Sciences, Chinese Academy of Sciences, Beijing 100190, China 3Key Laboratory for Quantum Materials of Zhejiang Province, School of Science, Westlake University, Hangzhou 310024, China 4Institute of Natural Sciences, Westlake Institute for Advanced Study, Hangzhou 310024, China 5CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China 6CAS Key Laboratory of Nanophotonic Materials and Devices, CAS Key Laboratory of Standardization and Measurement for Nano-technology, National Center for Nanoscience and Technology, Beijing 100190, China
Abstract:In marginally twisted bilayer graphene, the Moiré pattern consists of the maximized AB (BA) stacking regions, minimized AA stacking regions and triangular networks of domain walls. Here we realize the strain-modulated electronic structures of marginally twisted bilayer graphene by scanning tunneling microscopy/spectroscopy and density functional theory (DFT) calculations. The experimental data show four peaks near the Fermi energy at the AA regions. DFT calculations indicate that the two new peaks closer to the Fermi level may originate from the intrinsic heterostrain and the electric field implemented by back gate is likely to account for the observed shift of the four peaks. Furthermore, the $dI/dV$ map across Moiré patterns with different strain strengths exhibits a distinct appearance of the helical edge states.
Choi Y, Kemmer J, Peng Y, Thomson A, Arora H, Polski R, Zhang Y, Ren H, Alicea J, Refael G, Von Oppen F, Watanabe K, Taniguchi T, and Nadj-Perge S 2019 Nat. Phys.15 1174
[2]
Jiang Y, Lai X, Watanabe K, Taniguchi T, Haule K, Mao J, and Andrei E Y 2019 Nature573 91
[3]
Kerelsky A, Mcgilly L J, Kennes D M, Xian L, Yankowitz M, Chen S, Watanabe K, Taniguchi T, Hone J, Dean C, Rubio A, and Pasupathy A N 2019 Nature572 95
[4]
Xie Y, Lian B, Jack B, Liu X, Chiu C L, Watanabe K, Taniguchi T, Bernevig B A, and Yazdani A 2019 Nature572 101
Cao Y, Fatemi V, Fang S, Watanabe K, Taniguchi T, Kaxiras E, and Jarillo-Herrero P 2018 Nature556 43
[8]
Cao Y, Fatemi V, Demir A, Fang S, Tomarken S L, Luo J Y, Sanchez-Yamagishi J D, Watanabe K, Taniguchi T, Kaxiras E, Ashoori R C, and Jarillo-Herrero P 2018 Nature556 80
[9]
Sharpe A L, Fox E J, Barnard A W, Finney J, Watanabe K, Taniguchi T, Kastner M A, and Goldhaber-Gordon D 2019 Science365 605
[10]
Shen C, Ying J, Liu L, Liu J, Li N, Wang S, Tang J, Zhao Y, Chu Y, Watanabe K, Taniguchi T, Yang R, Shi D, Qu F, Lu L, Yang W, and Zhang G 2021 Chin. Phys. Lett.38 047301
[11]
Huang S, Kim K, Efimkin D K, Lovorn T, Taniguchi T, Watanabe K, Macdonald A H, Tutuc E, and Leroy B J 2018 Phys. Rev. Lett.121 037702
Du J, Lyu B, Shan W, Chen J, Zhou X, Xie J, Deng A, Hu C, Liang Q, Xie G, Li X, Luo W, and Shi Z 2021 Chin. Phys. Lett.38 056301
[15]
Mao J, Milovanovic S P, Andelkovic M, Lai X, Cao Y, Watanabe K, Taniguchi T, Covaci L, Peeters F M, Geim A K, Jiang Y, and Andrei E Y 2020 Nature584 215
Zhang S, Song Y, Li H, Li J M, Qian K, Liu C, Wang J O, Qian T, Zhang Y Y, Lu J C, Ding H, Lin X, Pan J, Du S X, and Gao H J 2020 Chin. Phys. Lett.37 068103
[20]
Xu S G, Berdyugin A I, Kumaravadivel P, Guinea F, Krishna K R, Bandurin D A, Morozov S V, Kuang W, Tsim B, Liu S, Edgar J H, Grigorieva I V, Fal'ko V I, Kim M, and Geim A K 2019 Nat. Commun.10 4008
[21]
Yoo H, Engelke R, Carr S, Fang S, Zhang K, Cazeaux P, Sung S H, Hovden R, Tsen A W, Taniguchi T, Watanabe K, Yi G C, Kim M, Luskin M, Tadmor E B, Kaxiras E, and Kim P 2019 Nat. Mater.18 448
[22]
Liu X, Chiu C L, Lee J Y, Farahi G, Watanabe K, Taniguchi T, Vishwanath A, and Yazdani A 2021 Nat. Commun.12 2732
[23]
Brihuega I, Mallet P, Gonzalez-Herrero H, De Trambly L G, Ugeda M M, Magaud L, Gomez-Rodriguez J M, Yndurain F, and Veuillen J Y 2012 Phys. Rev. Lett.109 196802
Shi H, Zhan Z, Qi Z, Huang K, Veen E V, Silva-Guillen J A, Zhang R, Li P, Xie K, Ji H, Katsnelson M I, Yuan S, Qin S, and Zhang Z 2020 Nat. Commun.11 371