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Moiré superlattices formed by van der Waals materials with small lattice mismatch or twist angle open an unprecedented approach to generate flat bands that don’t exist in the “parent” materials, which provides a controllable platform for exploring quantum many body physics. Owing to the wide angle range for the existence of flat bands, as well as the valley-spin-locking band structure and the excellent optical properties, twisted semiconducting transition metal dichalcogenides (TMDs) heterostructures have recently attracted lots of attention. In this review, we discuss the exotic states discovered in the twisted TMDs heterostructures, including Mott insulator, generalized Wigner crystals, topological non-trivial states, and moiré excitons, how to manipulate these exotic states and related mechanisms, and finally some perspectives on the opportunities and challenges in this field.
[1] Sen A K 2000 Comput. Graph. 24 471Google Scholar
[2] Post D, Han B, Ifju P 1997 High Sensitivity Moiré: Experimental Analysis for Mechanics and Materials (Springer Science & Business Media)
[3] Geim A K, Grigorieva I V 2013 Nature 499 419Google Scholar
[4] Novoselov K S, Mishchenko A, Carvalho A, Castro Neto A H 2016 Science 353 aac9439Google Scholar
[5] Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V, Firsov A A 2004 Science 306 666Google Scholar
[6] Mak K F, Lee C, Hone J, Shan J, Heinz T F 2010 Phys. Rev. Lett. 105 136805Google Scholar
[7] Splendiani A, Sun L, Zhang Y, Li T, Kim J, Chim C Y, Galli G, Wang F 2010 Nano Lett. 10 1271Google Scholar
[8] Zhang Y, Tan Y W, Stormer H L, Kim P 2005 Nature 438 201Google Scholar
[9] Cao Y, Fatemi V, Fang S, Watanabe K, Taniguchi T, Kaxiras E, Jarillo-Herrero P 2018 Nature 556 43Google Scholar
[10] 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, Jarillo-Herrero P 2018 Nature 556 80Google Scholar
[11] Dean C R, Young A F, Meric I, Lee C, Wang L, Sorgenfrei S, Watanabe K, Taniguchi T, Kim P, Shepard K L, Hone J 2010 Nat. Nanotechnol. 5 722Google Scholar
[12] Rong Z Y, Kuiper P 1993 Phys. Rev. B 48 17427Google Scholar
[13] Pong W T, Durkan C 2005 J. Phys. D: Appl. Phys. 38 R329Google Scholar
[14] Bistritzer R, MacDonald A H 2011 Proc. Natl. Acad. Sci. U.S.A. 108 12233Google Scholar
[15] Suárez Morell E, Correa J D, Vargas P, Pacheco M, Barticevic Z 2010 Phys. Rev. B 82 121407Google Scholar
[16] Wu F, Lovorn T, MacDonald A H 2017 Phys. Rev. Lett. 118 147401Google Scholar
[17] Wu F, Lovorn T, Tutuc E, MacDonald A H 2018 Phys. Rev. Lett. 121 26402Google Scholar
[18] Li G, Luican A, Lopes dos Santos J M B, Castro Neto A H, Reina A, Kong J, Andrei E Y 2010 Nat. Phys. 6 109Google Scholar
[19] Dean C R, Wang L, Maher P, Forsythe C, Ghahari F, Gao Y, Katoch J, Ishigami M, Moon P, Koshino M, Taniguchi T, Watanabe K, Shepard K L, Hone J, Kim P 2013 Nature 497 598Google Scholar
[20] Hofstadter D R 1976 Phys. Rev. B 14 2239Google Scholar
[21] Hunt B, Sanchez-Yamagishi J D, Young A F, Yankowitz M, LeRoy B J, Watanabe K, Taniguchi T, Moon P, Koshino M, Jarillo-Herrero P, Ashoori R C 2013 Science 340 1427Google Scholar
[22] Ponomarenko L A, Gorbachev R V, Yu G L, Elias D C, Jalil R, Patel A A, Mishchenko A, Mayorov A S, Woods C R, Wallbank J R, Mucha-Kruczynski M, Piot B A, Potemski M, Grigorieva I V, Novoselov K S, Guinea F, Fal’ko V I, Geim A K 2013 Nature 497 594Google Scholar
[23] Chen G, Sharpe A L, Gallagher P, Rosen I T, Fox E J, Jiang L, Lyu B, Li H, Watanabe K, Taniguchi T, Jung J, Shi Z, Goldhaber-Gordon D, Zhang Y, Wang F 2019 Nature 572 215Google Scholar
[24] Chen G, Sharpe A L, Fox E J, Zhang Y H, Wang S, Jiang L, Lyu B, Li H, Watanabe K, Taniguchi T, Shi Z, Senthil T, Goldhaber-Gordon D, Zhang Y, Wang F 2020 Nature 579 56Google Scholar
[25] Serlin M, Tschirhart C L, Polshyn H, Zhang Y, Zhu J, Watanabe K, Taniguchi T, Balents L, Young A F 2020 Science 367 900Google Scholar
[26] Sharpe A L, Fox E J, Barnard A W, Finney J, Watanabe K, Taniguchi T, Kastner M A, Goldhaber-Gordon D 2019 Science 365 605Google Scholar
[27] Liu X, Hao Z, Khalaf E, Lee J Y, Ronen Y, Yoo H, Haei Najafabadi D, Watanabe K, Taniguchi T, Vishwanath A, Kim P 2020 Nature 583 221Google Scholar
[28] Cao Y, Rodan-Legrain D, Rubies-Bigorda O, Park J M, Watanabe K, Taniguchi T, Jarillo-Herrero P 2020 Nature 583 215Google Scholar
[29] Shen C, Chu Y, Wu Q, Li N, Wang S, Zhao Y, Tang J, Liu J, Tian J, Watanabe K, Taniguchi T, Yang R, Meng Z Y, Shi D, Yazyev O V, Zhang G 2020 Nat. Phys. 16 520Google Scholar
[30] Cao Y, Park J M, Watanabe K, Taniguchi T, Jarillo-Herrero P 2021 Nature 595 526Google Scholar
[31] Park J M, Cao Y, Watanabe K, Taniguchi T, Jarillo-Herrero P 2021 Nature 590 249Google Scholar
[32] Cao Y, Rodan-Legrain D, Park J M, Yuan N F Q, Watanabe K, Taniguchi T, Fernandes R M, Fu L, Jarillo-Herrero P 2021 Science 372 264Google Scholar
[33] Zhou H, Xie T, Ghazaryan A, Holder T, Ehrets J R, Spanton E M, Taniguchi T, Watanabe K, Berg E, Serbyn M, Young A F 2021 Nature 598 429Google Scholar
[34] Zhou H, Xie T, Taniguchi T, Watanabe K, Young A F 2021 Nature 598 434Google Scholar
[35] Zhou H, Holleis L, Saito Y, Cohen L, Huynh W, Patterson C L, Yang F, Taniguchi T, Watanabe K, Young A F 2022 Science 375 774Google Scholar
[36] Naik M H, Jain M 2018 Phys. Rev. Lett. 121 266401Google Scholar
[37] Wang L, Shih E M, Ghiotto A, Xian L, Rhodes D A, Tan C, Claassen M, Kennes D M, Bai Y, Kim B, Watanabe K, Taniguchi T, Zhu X, Hone J, Rubio A, Pasupathy A N, Dean C R 2020 Nat. Mater. 19 861Google Scholar
[38] Mak K F, Shan J 2016 Nat. Photonics 10 216Google Scholar
[39] Mak K F, Xiao D, Shan J 2018 Nat. Photonics 12 451Google Scholar
[40] Tang Y, Li L, Li T, Xu Y, Liu S, Barmak K, Watanabe K, Taniguchi T, MacDonald A H, Shan J, Mak K F 2020 Nature 579 353Google Scholar
[41] Xu Y, Liu S, Rhodes D A, Watanabe K, Taniguchi T, Hone J, Elser V, Mak K F, Shan J 2020 Nature 587 214Google Scholar
[42] Regan E C, Wang D, Jin C, Bakti Utama M I, Gao B, Wei X, Zhao S, Zhao W, Zhang Z, Yumigeta K, Blei M, Carlström J D, Watanabe K, Taniguchi T, Tongay S, Crommie M, Zettl A, Wang F 2020 Nature 579 359Google Scholar
[43] Shimazaki Y, Schwartz I, Watanabe K, Taniguchi T, Kroner M, Imamoğlu A 2020 Nature 580 472Google Scholar
[44] Götting N, Lohof F, Gies C 2022 Phys. Rev. B 105 165419Google Scholar
[45] Schaibley J R, Yu H, Clark G, Rivera P, Ross J S, Seyler K L, Yao W, Xu X 2016 Nat. Rev. Mater. 1 16055Google Scholar
[46] Ruiz-Tijerina D A, Fal’Ko V I 2019 Phys. Rev. B 99 30
[47] Zhang Z, Wang Y, Watanabe K, Taniguchi T, Ueno K, Tutuc E, LeRoy B J 2020 Nat. Phys. 16 1093Google Scholar
[48] Li H, Li S, Naik M H, Xie J, Li X, Wang J, Regan E, Wang D, Zhao W, Zhao S, Kahn S, Yumigeta K, Blei M, Taniguchi T, Watanabe K, Tongay S, Zettl A, Louie S G, Wang F, Crommie M F 2021 Nat. Mater. 20 945Google Scholar
[49] McGilly L J, Kerelsky A, Finney N R, Shapovalov K, Shih E M, Ghiotto A, Zeng Y, Moore S L, Wu W, Bai Y, Watanabe K, Taniguchi T, Stengel M, Zhou L, Hone J, Zhu X, Basov D N, Dean C, Dreyer C E, Pasupathy A N 2020 Nat. Nanotechnol. 15 580Google Scholar
[50] Li T, Jiang S, Li L, Zhang Y, Kang K, Zhu J, Watanabe K, Taniguchi T, Chowdhury D, Fu L, Shan J, Mak K F 2021 Nature 597 350Google Scholar
[51] Li T, Jiang S, Shen B, Zhang Y, Li L, Tao Z, Devakul T, Watanabe K, Taniguchi T, Fu L, Shan J, Mak K F 2021 Nature 600 641Google Scholar
[52] Devakul T, Crépel V, Zhang Y, Fu L 2021 Nat. Commun. 12 6730Google Scholar
[53] Wu F, Lovorn T, Tutuc E, Martin I, Macdonald A H 2019 Phys. Rev. Lett. 122 86402Google Scholar
[54] Kumar A, Hu N C, MacDonald A H, Potter A C 2022 Phys. Rev. B 106 L041116Google Scholar
[55] Mott N F 1968 Rev. Mod. Phys. 40 677Google Scholar
[56] Lee P A, Nagaosa N, Wen X G 2006 Rev. Mod. Phys. 78 17Google Scholar
[57] Zhang Y, Yuan N F Q, Fu L 2019 arXiv: 1910.14061
[58] Bi Z, Fu L 2021 Nat. Commun. 12 642Google Scholar
[59] Pan H, Wu F, Das Sarma S 2020 Phys. Rev. Res. 2 33087Google Scholar
[60] Hotta C, Furukawa N 2006 Phys. Rev. B 74 193107Google Scholar
[61] Tocchio L F, Gros C, Zhang X F, Eggert S 2014 Phys. Rev. Lett. 113 246405Google Scholar
[62] Tanatar B, Ceperley D M 1989 Phys. Rev. B 39 5005Google Scholar
[63] Huang X, Wang T, Miao S, Wang C, Li Z, Lian Z, Taniguchi T, Watanabe K, Okamoto S, Xiao D, Shi S F, Cui Y T 2021 Nat. Phys. 17 715Google Scholar
[64] Jin C, Tao Z, Li T, Xu Y, Tang Y, Zhu J, Liu S, Watanabe K, Taniguchi T, Hone J C, Fu L, Shan J, Mak K F 2021 Nat. Mater. 20 940Google Scholar
[65] Tang Y, Su K, Li L, Xu Y, Liu S, Watanabe K, Taniguchi T, Hone J, Jian C M, Xu C, Mak K F, Shan J 2022 arXiv: 2204.08148
[66] Li H, Li S, Regan E C, Wang D, Zhao W, Kahn S, Yumigeta K, Blei M, Taniguchi T, Watanabe K, Tongay S, Zettl A, Crommie M F, Wang F 2021 Nature 597 650Google Scholar
[67] Yoshioka T, Koga A, Kawakami N 2009 Phys. Rev. Lett. 103 36401Google Scholar
[68] Li G, Antipov A E, Rubtsov A N, Kirchner S, Hanke W 2014 Phys. Rev. B 89 161118Google Scholar
[69] Szasz A, Motruk J, Zaletel M P, Moore J E 2020 Phys. Rev. X 10 21042
[70] Imada M, Fujimori A, Tokura Y 1998 Rev. Mod. Phys. 70 1039Google Scholar
[71] Ghiotto A, Shih E M, Pereira G S S G, Rhodes D A, Kim B, Zang J, Millis A J, Watanabe K, Taniguchi T, Hone J C, Wang L, Dean C R, Pasupathy A N 2021 Nature 597 345Google Scholar
[72] Tang Y, Gu J, Liu S, Watanabe K, Taniguchi T, Hone J C, Mak K F, Shan J 2022 Nat. Commun. 13 4271Google Scholar
[73] Angeli M, MacDonald A H 2021 Proc. Natl. Acad. Sci. 118 e2021826118Google Scholar
[74] Zhao W, Kang K, Li L, Tschirhart C, Redekop E, Watanabe K, Taniguchi T, Young A, Jie S, Mak K F 2022 arXiv: 2207.02312
[75] Zhao W, Shen B, Tao Z, Han Z, Kang K, Watanabe K, Taniguchi T, Mak K F, Shan J 2022 arXiv: 2211.00263
[76] Wang X, Xiao C, Park H, Zhu J, Wang C, Taniguchi T, Watanabe K, Yan J, Xiao D, Gamelin D R, Yao W, Xu X 2022 Nature 604 468Google Scholar
[77] Van Vleck J H 1962 Rev. Mod. Phys. 34 681Google Scholar
[78] Zhao W, Regan E C, Wang D, Jin C, Hsieh S, Wang Z, Wang J, Wang Z, Yumigeta K, Blei M, Watanabe K, Taniguchi T, Tongay S, Yao N Y, Wang F 2021 Nano Lett. 21 8910Google Scholar
[79] Jin C, Regan E C, Yan A, Iqbal Bakti Utama M, Wang D, Zhao S, Qin Y, Yang S, Zheng Z, Shi S, Watanabe K, Taniguchi T, Tongay S, Zettl A, Wang F 2019 Nature 567 76Google Scholar
[80] Alexeev E M, Ruiz-Tijerina D A, Danovich M, Hamer M J, Terry D J, Nayak P K, Ahn S, Pak S, Lee J, Sohn J I, Molas M R, Koperski M, Watanabe K, Taniguchi T, Novoselov K S, Gorbachev R V, Shin H S, Fal’ko V I, Tartakovskii A I 2019 Nature 567 81Google Scholar
[81] Seyler K L, Rivera P, Yu H, Wilson N P, Ray E L, Mandrus D G, Yan J, Yao W, Xu X 2019 Nature 567 66Google Scholar
[82] Tran K, Moody G, Wu F, Lu X, Choi J, Kim K, Rai A, Sanchez D A, Quan J, Singh A, Embley J, Zepeda A, Campbell M, Autry T, Taniguchi T, Watanabe K, Lu N, Banerjee S K, Silverman K L, Kim S, Tutuc E, Yang L, MacDonald A H, Li X 2019 Nature 567 71Google Scholar
[83] Tang Y, Gu J, Liu S, Watanabe K, Taniguchi T, Hone J, Mak K F, Shan J 2021 Nat. Nanotechnol. 16 52Google Scholar
[84] Naik M H, Regan E C, Zhang Z, Chan Y H, Li Z, Wang D, Yoon Y, Ong C S, Zhao W, Zhao S, Utama M I B, Gao B, Wei X, Sayyad M, Yumigeta K, Watanabe K, Taniguchi T, Tongay S, da Jornada F H, Wang F, Louie S G 2022 Nature 609 52Google Scholar
[85] Wang X, Zhu J, Seyler K L, Rivera P, Zheng H, Wang Y, He M, Taniguchi T, Watanabe K, Yan J, Mandrus D G, Gamelin D R, Yao W, Xu X 2021 Nat. Nanotechnol. 16 1208Google Scholar
[86] Liu E, Barré E, van Baren J, Wilson M, Taniguchi T, Watanabe K, Cui Y T, Gabor N M, Heinz T F, Chang Y C, Lui C H 2021 Nature 594 46Google Scholar
[87] Xiong R, Nie J H, Brantly S L, Hays P, Sailus R, Watanabe K, Taniguchi T, Tongay S, Jin C 2022 arXiv: 2207.10764
[88] Wang P, Yu G, Kwan Y H, Jia Y, Lei S, Klemenz S, Cevallos F A, Singha R, Devakul T, Watanabe K, Taniguchi T, Sondhi S L, Cava R J, Schoop L M, Parameswaran S A, Wu S 2022 Nature 605 57Google Scholar
[89] Gebredingle Y, Joe M, Lee C 2022 J. Korean Phys. Soc. 81 325Google Scholar
[90] Kennes D M, Xian L, Claassen M, Rubio A 2020 Nat. Commun. 11 1124Google Scholar
[91] Yankowitz M, Chen S, Polshyn H, Zhang Y, Watanabe K, Taniguchi T, Graf D, Young A F, Dean C R 2019 Science 363 1059Google Scholar
[92] Cenker J, Sivakumar S, Xie K, Miller A, Thijssen P, Liu Z, Dismukes A, Fonseca J, Anderson E, Zhu X, Roy X, Xiao D, Chu J H, Cao T, Xu X 2022 Nat. Nanotechnol. 17 256Google Scholar
[93] Purdie D G, Pugno N M, Taniguchi T, Watanabe K, Ferrari A C, Lombardo A 2018 Nat. Commun. 9 5387Google Scholar
[94] Yang D, Wu J, Zhou B T, Liang J, Ideue T, Siu T, Awan K M, Watanabe K, Taniguchi T, Iwasa Y, Franz M, Ye Z 2022 Nat. Photonics 16 469Google Scholar
[95] Ma C, Yuan S, Cheung P, Watanabe K, Taniguchi T, Zhang F, Xia F 2022 Nature 604 266Google Scholar
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图 1 转角TMDs的晶格和能带结构0°转角 (a)和60°转角 (b) TMDs异质结的晶格结构示意图; (c)转角WSe2/MoSe2的能带图[17]; (d)不同晶格位之间跃迁的动能随莫尔晶格常数的依赖关系[17]
Figure 1. Crystal structure and band structure in twisted TMDs: The crystal structure in 0° (a) and 60° (b) twisted TMDs heterobilayer; (c) the moiré band structure of low-energy electrons in 2° twisted WSe2/MoSe2 heterobilayer[17]; (d) the kinetic energy of electrons hopping between different moiré sites as a function of the moiré lattice constant[17].
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[1] Sen A K 2000 Comput. Graph. 24 471Google Scholar
[2] Post D, Han B, Ifju P 1997 High Sensitivity Moiré: Experimental Analysis for Mechanics and Materials (Springer Science & Business Media)
[3] Geim A K, Grigorieva I V 2013 Nature 499 419Google Scholar
[4] Novoselov K S, Mishchenko A, Carvalho A, Castro Neto A H 2016 Science 353 aac9439Google Scholar
[5] Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V, Firsov A A 2004 Science 306 666Google Scholar
[6] Mak K F, Lee C, Hone J, Shan J, Heinz T F 2010 Phys. Rev. Lett. 105 136805Google Scholar
[7] Splendiani A, Sun L, Zhang Y, Li T, Kim J, Chim C Y, Galli G, Wang F 2010 Nano Lett. 10 1271Google Scholar
[8] Zhang Y, Tan Y W, Stormer H L, Kim P 2005 Nature 438 201Google Scholar
[9] Cao Y, Fatemi V, Fang S, Watanabe K, Taniguchi T, Kaxiras E, Jarillo-Herrero P 2018 Nature 556 43Google Scholar
[10] 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, Jarillo-Herrero P 2018 Nature 556 80Google Scholar
[11] Dean C R, Young A F, Meric I, Lee C, Wang L, Sorgenfrei S, Watanabe K, Taniguchi T, Kim P, Shepard K L, Hone J 2010 Nat. Nanotechnol. 5 722Google Scholar
[12] Rong Z Y, Kuiper P 1993 Phys. Rev. B 48 17427Google Scholar
[13] Pong W T, Durkan C 2005 J. Phys. D: Appl. Phys. 38 R329Google Scholar
[14] Bistritzer R, MacDonald A H 2011 Proc. Natl. Acad. Sci. U.S.A. 108 12233Google Scholar
[15] Suárez Morell E, Correa J D, Vargas P, Pacheco M, Barticevic Z 2010 Phys. Rev. B 82 121407Google Scholar
[16] Wu F, Lovorn T, MacDonald A H 2017 Phys. Rev. Lett. 118 147401Google Scholar
[17] Wu F, Lovorn T, Tutuc E, MacDonald A H 2018 Phys. Rev. Lett. 121 26402Google Scholar
[18] Li G, Luican A, Lopes dos Santos J M B, Castro Neto A H, Reina A, Kong J, Andrei E Y 2010 Nat. Phys. 6 109Google Scholar
[19] Dean C R, Wang L, Maher P, Forsythe C, Ghahari F, Gao Y, Katoch J, Ishigami M, Moon P, Koshino M, Taniguchi T, Watanabe K, Shepard K L, Hone J, Kim P 2013 Nature 497 598Google Scholar
[20] Hofstadter D R 1976 Phys. Rev. B 14 2239Google Scholar
[21] Hunt B, Sanchez-Yamagishi J D, Young A F, Yankowitz M, LeRoy B J, Watanabe K, Taniguchi T, Moon P, Koshino M, Jarillo-Herrero P, Ashoori R C 2013 Science 340 1427Google Scholar
[22] Ponomarenko L A, Gorbachev R V, Yu G L, Elias D C, Jalil R, Patel A A, Mishchenko A, Mayorov A S, Woods C R, Wallbank J R, Mucha-Kruczynski M, Piot B A, Potemski M, Grigorieva I V, Novoselov K S, Guinea F, Fal’ko V I, Geim A K 2013 Nature 497 594Google Scholar
[23] Chen G, Sharpe A L, Gallagher P, Rosen I T, Fox E J, Jiang L, Lyu B, Li H, Watanabe K, Taniguchi T, Jung J, Shi Z, Goldhaber-Gordon D, Zhang Y, Wang F 2019 Nature 572 215Google Scholar
[24] Chen G, Sharpe A L, Fox E J, Zhang Y H, Wang S, Jiang L, Lyu B, Li H, Watanabe K, Taniguchi T, Shi Z, Senthil T, Goldhaber-Gordon D, Zhang Y, Wang F 2020 Nature 579 56Google Scholar
[25] Serlin M, Tschirhart C L, Polshyn H, Zhang Y, Zhu J, Watanabe K, Taniguchi T, Balents L, Young A F 2020 Science 367 900Google Scholar
[26] Sharpe A L, Fox E J, Barnard A W, Finney J, Watanabe K, Taniguchi T, Kastner M A, Goldhaber-Gordon D 2019 Science 365 605Google Scholar
[27] Liu X, Hao Z, Khalaf E, Lee J Y, Ronen Y, Yoo H, Haei Najafabadi D, Watanabe K, Taniguchi T, Vishwanath A, Kim P 2020 Nature 583 221Google Scholar
[28] Cao Y, Rodan-Legrain D, Rubies-Bigorda O, Park J M, Watanabe K, Taniguchi T, Jarillo-Herrero P 2020 Nature 583 215Google Scholar
[29] Shen C, Chu Y, Wu Q, Li N, Wang S, Zhao Y, Tang J, Liu J, Tian J, Watanabe K, Taniguchi T, Yang R, Meng Z Y, Shi D, Yazyev O V, Zhang G 2020 Nat. Phys. 16 520Google Scholar
[30] Cao Y, Park J M, Watanabe K, Taniguchi T, Jarillo-Herrero P 2021 Nature 595 526Google Scholar
[31] Park J M, Cao Y, Watanabe K, Taniguchi T, Jarillo-Herrero P 2021 Nature 590 249Google Scholar
[32] Cao Y, Rodan-Legrain D, Park J M, Yuan N F Q, Watanabe K, Taniguchi T, Fernandes R M, Fu L, Jarillo-Herrero P 2021 Science 372 264Google Scholar
[33] Zhou H, Xie T, Ghazaryan A, Holder T, Ehrets J R, Spanton E M, Taniguchi T, Watanabe K, Berg E, Serbyn M, Young A F 2021 Nature 598 429Google Scholar
[34] Zhou H, Xie T, Taniguchi T, Watanabe K, Young A F 2021 Nature 598 434Google Scholar
[35] Zhou H, Holleis L, Saito Y, Cohen L, Huynh W, Patterson C L, Yang F, Taniguchi T, Watanabe K, Young A F 2022 Science 375 774Google Scholar
[36] Naik M H, Jain M 2018 Phys. Rev. Lett. 121 266401Google Scholar
[37] Wang L, Shih E M, Ghiotto A, Xian L, Rhodes D A, Tan C, Claassen M, Kennes D M, Bai Y, Kim B, Watanabe K, Taniguchi T, Zhu X, Hone J, Rubio A, Pasupathy A N, Dean C R 2020 Nat. Mater. 19 861Google Scholar
[38] Mak K F, Shan J 2016 Nat. Photonics 10 216Google Scholar
[39] Mak K F, Xiao D, Shan J 2018 Nat. Photonics 12 451Google Scholar
[40] Tang Y, Li L, Li T, Xu Y, Liu S, Barmak K, Watanabe K, Taniguchi T, MacDonald A H, Shan J, Mak K F 2020 Nature 579 353Google Scholar
[41] Xu Y, Liu S, Rhodes D A, Watanabe K, Taniguchi T, Hone J, Elser V, Mak K F, Shan J 2020 Nature 587 214Google Scholar
[42] Regan E C, Wang D, Jin C, Bakti Utama M I, Gao B, Wei X, Zhao S, Zhao W, Zhang Z, Yumigeta K, Blei M, Carlström J D, Watanabe K, Taniguchi T, Tongay S, Crommie M, Zettl A, Wang F 2020 Nature 579 359Google Scholar
[43] Shimazaki Y, Schwartz I, Watanabe K, Taniguchi T, Kroner M, Imamoğlu A 2020 Nature 580 472Google Scholar
[44] Götting N, Lohof F, Gies C 2022 Phys. Rev. B 105 165419Google Scholar
[45] Schaibley J R, Yu H, Clark G, Rivera P, Ross J S, Seyler K L, Yao W, Xu X 2016 Nat. Rev. Mater. 1 16055Google Scholar
[46] Ruiz-Tijerina D A, Fal’Ko V I 2019 Phys. Rev. B 99 30
[47] Zhang Z, Wang Y, Watanabe K, Taniguchi T, Ueno K, Tutuc E, LeRoy B J 2020 Nat. Phys. 16 1093Google Scholar
[48] Li H, Li S, Naik M H, Xie J, Li X, Wang J, Regan E, Wang D, Zhao W, Zhao S, Kahn S, Yumigeta K, Blei M, Taniguchi T, Watanabe K, Tongay S, Zettl A, Louie S G, Wang F, Crommie M F 2021 Nat. Mater. 20 945Google Scholar
[49] McGilly L J, Kerelsky A, Finney N R, Shapovalov K, Shih E M, Ghiotto A, Zeng Y, Moore S L, Wu W, Bai Y, Watanabe K, Taniguchi T, Stengel M, Zhou L, Hone J, Zhu X, Basov D N, Dean C, Dreyer C E, Pasupathy A N 2020 Nat. Nanotechnol. 15 580Google Scholar
[50] Li T, Jiang S, Li L, Zhang Y, Kang K, Zhu J, Watanabe K, Taniguchi T, Chowdhury D, Fu L, Shan J, Mak K F 2021 Nature 597 350Google Scholar
[51] Li T, Jiang S, Shen B, Zhang Y, Li L, Tao Z, Devakul T, Watanabe K, Taniguchi T, Fu L, Shan J, Mak K F 2021 Nature 600 641Google Scholar
[52] Devakul T, Crépel V, Zhang Y, Fu L 2021 Nat. Commun. 12 6730Google Scholar
[53] Wu F, Lovorn T, Tutuc E, Martin I, Macdonald A H 2019 Phys. Rev. Lett. 122 86402Google Scholar
[54] Kumar A, Hu N C, MacDonald A H, Potter A C 2022 Phys. Rev. B 106 L041116Google Scholar
[55] Mott N F 1968 Rev. Mod. Phys. 40 677Google Scholar
[56] Lee P A, Nagaosa N, Wen X G 2006 Rev. Mod. Phys. 78 17Google Scholar
[57] Zhang Y, Yuan N F Q, Fu L 2019 arXiv: 1910.14061
[58] Bi Z, Fu L 2021 Nat. Commun. 12 642Google Scholar
[59] Pan H, Wu F, Das Sarma S 2020 Phys. Rev. Res. 2 33087Google Scholar
[60] Hotta C, Furukawa N 2006 Phys. Rev. B 74 193107Google Scholar
[61] Tocchio L F, Gros C, Zhang X F, Eggert S 2014 Phys. Rev. Lett. 113 246405Google Scholar
[62] Tanatar B, Ceperley D M 1989 Phys. Rev. B 39 5005Google Scholar
[63] Huang X, Wang T, Miao S, Wang C, Li Z, Lian Z, Taniguchi T, Watanabe K, Okamoto S, Xiao D, Shi S F, Cui Y T 2021 Nat. Phys. 17 715Google Scholar
[64] Jin C, Tao Z, Li T, Xu Y, Tang Y, Zhu J, Liu S, Watanabe K, Taniguchi T, Hone J C, Fu L, Shan J, Mak K F 2021 Nat. Mater. 20 940Google Scholar
[65] Tang Y, Su K, Li L, Xu Y, Liu S, Watanabe K, Taniguchi T, Hone J, Jian C M, Xu C, Mak K F, Shan J 2022 arXiv: 2204.08148
[66] Li H, Li S, Regan E C, Wang D, Zhao W, Kahn S, Yumigeta K, Blei M, Taniguchi T, Watanabe K, Tongay S, Zettl A, Crommie M F, Wang F 2021 Nature 597 650Google Scholar
[67] Yoshioka T, Koga A, Kawakami N 2009 Phys. Rev. Lett. 103 36401Google Scholar
[68] Li G, Antipov A E, Rubtsov A N, Kirchner S, Hanke W 2014 Phys. Rev. B 89 161118Google Scholar
[69] Szasz A, Motruk J, Zaletel M P, Moore J E 2020 Phys. Rev. X 10 21042
[70] Imada M, Fujimori A, Tokura Y 1998 Rev. Mod. Phys. 70 1039Google Scholar
[71] Ghiotto A, Shih E M, Pereira G S S G, Rhodes D A, Kim B, Zang J, Millis A J, Watanabe K, Taniguchi T, Hone J C, Wang L, Dean C R, Pasupathy A N 2021 Nature 597 345Google Scholar
[72] Tang Y, Gu J, Liu S, Watanabe K, Taniguchi T, Hone J C, Mak K F, Shan J 2022 Nat. Commun. 13 4271Google Scholar
[73] Angeli M, MacDonald A H 2021 Proc. Natl. Acad. Sci. 118 e2021826118Google Scholar
[74] Zhao W, Kang K, Li L, Tschirhart C, Redekop E, Watanabe K, Taniguchi T, Young A, Jie S, Mak K F 2022 arXiv: 2207.02312
[75] Zhao W, Shen B, Tao Z, Han Z, Kang K, Watanabe K, Taniguchi T, Mak K F, Shan J 2022 arXiv: 2211.00263
[76] Wang X, Xiao C, Park H, Zhu J, Wang C, Taniguchi T, Watanabe K, Yan J, Xiao D, Gamelin D R, Yao W, Xu X 2022 Nature 604 468Google Scholar
[77] Van Vleck J H 1962 Rev. Mod. Phys. 34 681Google Scholar
[78] Zhao W, Regan E C, Wang D, Jin C, Hsieh S, Wang Z, Wang J, Wang Z, Yumigeta K, Blei M, Watanabe K, Taniguchi T, Tongay S, Yao N Y, Wang F 2021 Nano Lett. 21 8910Google Scholar
[79] Jin C, Regan E C, Yan A, Iqbal Bakti Utama M, Wang D, Zhao S, Qin Y, Yang S, Zheng Z, Shi S, Watanabe K, Taniguchi T, Tongay S, Zettl A, Wang F 2019 Nature 567 76Google Scholar
[80] Alexeev E M, Ruiz-Tijerina D A, Danovich M, Hamer M J, Terry D J, Nayak P K, Ahn S, Pak S, Lee J, Sohn J I, Molas M R, Koperski M, Watanabe K, Taniguchi T, Novoselov K S, Gorbachev R V, Shin H S, Fal’ko V I, Tartakovskii A I 2019 Nature 567 81Google Scholar
[81] Seyler K L, Rivera P, Yu H, Wilson N P, Ray E L, Mandrus D G, Yan J, Yao W, Xu X 2019 Nature 567 66Google Scholar
[82] Tran K, Moody G, Wu F, Lu X, Choi J, Kim K, Rai A, Sanchez D A, Quan J, Singh A, Embley J, Zepeda A, Campbell M, Autry T, Taniguchi T, Watanabe K, Lu N, Banerjee S K, Silverman K L, Kim S, Tutuc E, Yang L, MacDonald A H, Li X 2019 Nature 567 71Google Scholar
[83] Tang Y, Gu J, Liu S, Watanabe K, Taniguchi T, Hone J, Mak K F, Shan J 2021 Nat. Nanotechnol. 16 52Google Scholar
[84] Naik M H, Regan E C, Zhang Z, Chan Y H, Li Z, Wang D, Yoon Y, Ong C S, Zhao W, Zhao S, Utama M I B, Gao B, Wei X, Sayyad M, Yumigeta K, Watanabe K, Taniguchi T, Tongay S, da Jornada F H, Wang F, Louie S G 2022 Nature 609 52Google Scholar
[85] Wang X, Zhu J, Seyler K L, Rivera P, Zheng H, Wang Y, He M, Taniguchi T, Watanabe K, Yan J, Mandrus D G, Gamelin D R, Yao W, Xu X 2021 Nat. Nanotechnol. 16 1208Google Scholar
[86] Liu E, Barré E, van Baren J, Wilson M, Taniguchi T, Watanabe K, Cui Y T, Gabor N M, Heinz T F, Chang Y C, Lui C H 2021 Nature 594 46Google Scholar
[87] Xiong R, Nie J H, Brantly S L, Hays P, Sailus R, Watanabe K, Taniguchi T, Tongay S, Jin C 2022 arXiv: 2207.10764
[88] Wang P, Yu G, Kwan Y H, Jia Y, Lei S, Klemenz S, Cevallos F A, Singha R, Devakul T, Watanabe K, Taniguchi T, Sondhi S L, Cava R J, Schoop L M, Parameswaran S A, Wu S 2022 Nature 605 57Google Scholar
[89] Gebredingle Y, Joe M, Lee C 2022 J. Korean Phys. Soc. 81 325Google Scholar
[90] Kennes D M, Xian L, Claassen M, Rubio A 2020 Nat. Commun. 11 1124Google Scholar
[91] Yankowitz M, Chen S, Polshyn H, Zhang Y, Watanabe K, Taniguchi T, Graf D, Young A F, Dean C R 2019 Science 363 1059Google Scholar
[92] Cenker J, Sivakumar S, Xie K, Miller A, Thijssen P, Liu Z, Dismukes A, Fonseca J, Anderson E, Zhu X, Roy X, Xiao D, Chu J H, Cao T, Xu X 2022 Nat. Nanotechnol. 17 256Google Scholar
[93] Purdie D G, Pugno N M, Taniguchi T, Watanabe K, Ferrari A C, Lombardo A 2018 Nat. Commun. 9 5387Google Scholar
[94] Yang D, Wu J, Zhou B T, Liang J, Ideue T, Siu T, Awan K M, Watanabe K, Taniguchi T, Iwasa Y, Franz M, Ye Z 2022 Nat. Photonics 16 469Google Scholar
[95] Ma C, Yuan S, Cheung P, Watanabe K, Taniguchi T, Zhang F, Xia F 2022 Nature 604 266Google Scholar
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