Recent experimental research progress of two-dimensional van der Waals semiconductor moiré superlattices

Li Ting-Xin

doi:10.7498/aps.71.20220347

Abstract

A moiré superlattice can be formed by overlaying two atomically thin van der Waals materials with a rotation angle or with a lattice mismatch. Since the discovery of correlated insulators and superconductivity in magic angle twisted bilayer graphene, constructing moiré superlattices by various two-dimensional (2D) van der Waals materials and studying their novel properties emerge as a hot topic and research frontier in condensed matter physics. Here we review the recent experimental progress of 2D transition metal dichalcogenide moiré superlattices. In this system, the formation of moiré flat band does not rely on certain magic angles. Experimentally, a series of correlated electron states and topological states have been discovered and confirmed. Further theoretical and experimental studies can find a wealth of emergent phenomena caused by the combined influence of strong correlation and topology in transition metal dichalcogenide moiré superlattice.

Keywords:

moiré superlattices /
correlated electron states /
topological states /
two-dimensional van der Waals semiconductors

Authors and contacts

Li Ting-Xin^1,2

1.
Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), Shenyang National Laboratory for Materials Science, School of Physics & Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
2.
Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 201210, China

Corresponding author: Li Ting-Xin, txli89@sjtu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 12174249) and the Natural Science Foundation of Shanghai, China (Grant No. 22ZR1430900)

FullText HTML : translate this paragraph

References

[1]	Esaki L, Tsu R 1970 IBM J. Res. Dev. 14 61 Google Scholar
[2]	Wang S, Scarabelli D, Du L, Kuznetsova Y Y, Pfeiffer L N, West K W, Gardner G C, Manfra M J, Pellegrini V, Wind S J, Pinczuk A 2018 Nat. Nanotechnol. 13 29
[3]	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 80 Google Scholar
[4]	Cao Y, Fatemi V, Fang S, Watanabe K, Taniguchi T, Kaxiras E, Jarillo-Herrero P 2018 Nature 556 43 Google Scholar
[5]	Yankowitz M, Chen S, Polshyn H, Zhang Y, Watanabe K, Taniguchi T, Graf D, Young A F, Dean C R 2019 Science 363 1059 Google Scholar
[6]	Chen G, Jiang L, Wu S, Lyu B, Li H, Chittari B L, Watanabe K, Taniguchi T, Shi Z, Jung J, Zhang Y, Wang F 2019 Nat. Phys. 15 237 Google Scholar
[7]	Sharpe A L, Fox E J, Barnard A W, Finney J, Watanabe K, Taniguchi T, Kastner M A, Goldhaber-Gordon D 2019 Science 365 605 Google Scholar
[8]	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 572 215 Google Scholar
[9]	Kerelsky A, McGilly L J, Kennes D M, Xian L, Yankowitz M, Chen S, Watanabe K, Taniguchi T, Hone J, Dean C, Rubio A, Pasupathy A N 2019 Nature 572 95 Google Scholar
[10]	Xie Y, Lian B, Jack B, Liu X, Chiu C L, Watanabe K, Taniguchi T, Bernevig B A, Yazdani A 2019 Nature 572 101 Google Scholar
[11]	Jiang Y, Lai X, Watanabe K, Taniguchi T, Haule K, Mao J, Andrei E Y 2019 Nature 573 91 Google Scholar
[12]	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, Nadj-Perge S 2019 Nat. Phys. 15 1174 Google Scholar
[13]	Lu X, Stepanov P, Yang W, Xie M, Aamir M A, Das I, Urgell C, Watanabe K, Taniguchi T, Zhang G, Bachtold A, MacDonald A H, Efetov D K 2019 Nature 574 653 Google Scholar
[14]	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 56 Google Scholar
[15]	Serlin M, Tschirhart C L, Polshyn H, Zhang Y, Zhu J, Watanabe K, Taniguchi T, Balents L, Young A F 2020 Science 367 900 Google Scholar
[16]	Wong D, Nuckolls K P, Oh M, Lian B, Xie Y, Jeon S, Watanabe K, Taniguchi T, Bernevig B A, Yazdani A 2020 Nature 582 198 Google Scholar
[17]	Zondiner U, Rozen A, Rodan-Legrain D, Cao Y, Queiroz R, Taniguchi T, Watanabe K, Oreg Y, von Oppen F, Stern A, Berg E, Jarillo-Herrero P, Ilani S 2020 Nature 582 203 Google Scholar
[18]	Cao Y, Rodan-Legrain D, Rubies-Bigorda O, Park J M, Watanabe K, Taniguchi T, Jarillo-Herrero P 2020 Nature 583 215 Google Scholar
[19]	Liu X, Hao Z, Khalaf E, Lee J Y, Ronen Y, Yoo H, Najafabadi D H, Watanabe K, Taniguchi T, Vishwanath A, Kim P 2020 Nature 583 221 Google Scholar
[20]	Burg G W, Zhu J, Taniguchi T, Watanabe K, MacDonald A H, Tutuc E 2019 Phys. Rev. Lett. 123 197702 Google Scholar
[21]	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. 16 520 Google Scholar
[22]	Stepanov P, Das I, Lu X, Fahimniya A, Watanabe K, Taniguchi T, Koppens F H L, Lischner J, Levitov L, Efetov D K 2020 Nature 583 375 Google Scholar
[23]	Arora H S, Polski R, Zhang Y, Thomson A, Choi Y, Kim H, Lin Z, Wilson I Z, Xu X, Chu J H, Watanabe K, Taniguchi T, Alicea J, Nadj-Perge S 2020 Nature 583 379 Google Scholar
[24]	Saito Y, Ge J, Watanabe K, Taniguchi T, Young A F 2020 Nat. Phys. 16 926 Google Scholar
[25]	Polshyn H, Zhu J, Kumar M A, Zhang Y, Yang F, Tschirhart C L, Serlin M, Watanabe K, Taniguchi T, MacDonald A H, Young A F 2020 Nature 588 66 Google Scholar
[26]	Nuckolls K P, Oh M, Wong D, Lian B, Watanabe K, Taniguchi T, Bernevig B A, Yazdani A 2020 Nature 588 610 Google Scholar
[27]	Choi Y, Kim H, Peng Y, Thomson A, Lewandowski C, Polski R, Zhang Y, Arora H S, Watanabe K, Taniguchi T, Alicea J, Nadj-Perge S 2021 Nature 589 536 Google Scholar
[28]	Saito Y, Ge J, Rademaker L, Watanabe K, Taniguchi T, Abanin D A, Young A F 2021 Nat. Phys. 17 478 Google Scholar
[29]	Wu S, Zhang Z, Watanabe K, Taniguchi T, Andrei E Y 2021 Nat. Mater. 20 488 Google Scholar
[30]	Park J M, Cao Y, Watanabe K, Taniguchi T, Jarillo-Herrero P 2021 Nature 592 43 Google Scholar
[31]	Rozen A, Park J M, Zondiner U, Cao Y, Rodan-Legrain D, Taniguchi T, Watanabe K, Oreg Y, Stern A, Berg E, Jarillo-Herrero P, Ilani S 2021 Nature 592 214 Google Scholar
[32]	Saito Y, Yang F, Ge J, Liu X, Taniguchi T, Watanabe K, Li J I A, Berg E, Young A F 2021 Nature 592 220 Google Scholar
[33]	Liu X, Wang Z, Watanabe K, Taniguchi T, Vafek O, Li J I A 2021 Science 371 1261 Google Scholar
[34]	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 372 264 Google Scholar
[35]	Park J M, Cao Y, Watanabe K, Taniguchi T, Jarillo-Herrero P 2021 Nature 590 249
[36]	Cao Y, Park J M, Watanabe K, Taniguchi T, Jarillo-Herrero P 2021 Nature 595 526 Google Scholar
[37]	Oh M, Nuckolls K P, Wong D, Lee R L, Liu X, Watanabe K, Taniguchi T, Yazdani A 2021 Nature 600 240 Google Scholar
[38]	Xie Y, Pierce A T, Park J M, Parker D E, Khalaf E, Ledwith P, Cao Y, Lee S H, Chen S, Forrester P R, Watanabe K, Taniguchi T, Vishwanath A, Jarillo-Herrero P, Yacoby A 2021 Nature 600 439 Google Scholar
[39]	Lin J X, Zhang Y H, Morissette E, Wang Z, Liu S, Rhodes D, Watanabe K, Taniguchi T, Hone J, Li J I A 2022 Science 375 437 Google Scholar
[40]	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 66 Google Scholar
[41]	Kha T, 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 71 Google Scholar
[42]	Jin C, Regan E C, Yan A, Utama M I B, 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 76 Google Scholar
[43]	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 81 Google Scholar
[44]	Regan E C, Wang D, Jin C, Utama M I, Gao B, Wei X, Zhao S, Zhao W, Zhang Z, Yumigeta K, Blei M, Carlstrom J D, Watanabe K, Taniguchi T, Tongay S, Crommie M, Zettl A, Wang F 2020 Nature 579 359 Google Scholar
[45]	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 579 353 Google Scholar
[46]	Xu Y, Liu S, Rhodes D A, Watanabe K, Taniguchi T, Hone J, Elser V, Mak K F, Shan J 2020 Nature 587 214 Google Scholar
[47]	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. 20 940 Google Scholar
[48]	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 597 650 Google Scholar
[49]	Shimazaki Y, Schwartz I, Watanabe K, Taniguchi T, Kroner M, Imamoglu A 2020 Nature 580 472 Google Scholar
[50]	Chu Z, Regan E C, Ma X, Wang D, Xu Z, Utama M I B, Yumigeta K, Blei M, Watanabe K, Taniguchi T, Tongay S, Wang F, Lai K 2020 Phys. Rev. Lett. 125 186803 Google Scholar
[51]	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. 17 715 Google Scholar
[52]	Li T, Zhu J, Tang Y, Watanabe K, Taniguchi T, Elser V, Shan J, Mak K F 2021 Nat. Nanotechnol. 16 1068 Google Scholar
[53]	Tang Y, Gu J, Liu S, Watanabe K, Taniguchi T, Hone J, Mak K F, Shan J 2021 Nat. Nanotechnol. 16 52 Google Scholar
[54]	Liu E, Taniguchi T, Watanabe K, Gabor N M, Cui Y T, Lui C H 2021 Phys. Rev. Lett. 127 037402 Google Scholar
[55]	Gu J, Ma L, Liu S, Watanabe K, Taniguchi T, Hone J C, Shan J, Mak K F 2022 Nat. Phys. 18 395 Google Scholar
[56]	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 604 648
[57]	Shabani S, Halbertal D, Wu W, Chen M, Liu S, Hone J, Yao W, Basov D N, Zhu X, Pasupathy A N 2021 Nat. Phys. 17 720 Google Scholar
[58]	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. 20 945 Google Scholar
[59]	Li H, Li S, Naik M H, Xie J, Li X, Regan E, Wang D, Zhao W, Yumigeta K, Blei M, Taniguchi T, Watanabe K, Tongay S, Zettl A, Louie S G, Crommie M F, Wang F 2021 Nat. Phys. 17 1114 Google Scholar
[60]	Li E, Hu J X, Feng X, Zhou Z, An L, Law K T, Wang N, Lin N 2021 Nat. Commun. 12 5601 Google Scholar
[61]	Stansbury C H, Utama M I B, Fatuzzo C G, Regan E C, Wang D, Xiang Z, Ding M, Watanabe K, Taniguchi T, Blei M, Shen Y, Lorcy S, Bostwick A, Jozwiak C, Koch R, Tongay S, Avila J, Rotenberg E, Wang F, Lanzara A 2021 Sci. Adv. 7 eabf4387 Google Scholar
[62]	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 597 345 Google Scholar
[63]	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 597 350 Google Scholar
[64]	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. 19 861 Google Scholar
[65]	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 600 641 Google Scholar
[66]	Balents L, Dean C R, Efetov D K, Young A F 2020 Nat. Phys. 16 725 Google Scholar
[67]	Tsui D C, Stormer H L, Gossard A C 1982 Phys. Rev. Lett. 48 1559 Google Scholar
[68]	Bednorz J G, Miiller K A 1986 Z. Phys. B: Condens. Matter 64 189 Google Scholar
[69]	Bistritzer R, MacDonald A H 2011 PNAS 108 12233 Google Scholar
[70]	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 497 594 Google Scholar
[71]	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 497 598 Google Scholar
[72]	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 1427
[73]	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, Kim P 2019 Nat. Mater. 18 448 Google Scholar
[74]	Uri A, Grover S, Cao Y, Crosse J A, Bagani K, Rodan-Legrain D, Myasoedov Y, Watanabe K, Taniguchi T, Moon P, Koshino M, Jarillo-Herrero P, Zeldov E 2020 Nature 581 47 Google Scholar
[75]	Rosenberger M R, Chuang H J, Phillips M, Oleshko V P, McCreary K M, Sivaram S V, Hellberg C S, Jonker B T 2020 ACS Nano 14 4550 Google Scholar
[76]	Wu F, Lovorn T, Tutuc E, MacDonald A H 2018 Phys. Rev. Lett. 121 026402 Google Scholar
[77]	Pan H, Wu F, Das Sarma S 2020 Phys. Rev. B 102 201104(R
[78]	Morales-Durán N, Hu N C, Pawel P, MacDonald A H 2021 arXiv: 2108.03313 [cond-mat]
[79]	Wu F, Lovorn T, Tutuc E, Martin I, MacDonald A H 2019 Phys. Rev. Lett. 122 086402 Google Scholar
[80]	Pan H, Wu F, Das Sarma S 2020 Phys. Rev. Res. 2 033087 Google Scholar
[81]	Devakul T, Crépel V, Zhang Y, Fu L 2021 Nat. Commn. 12 6730 Google Scholar
[82]	Kumar A, Hu N C, MacDonald A H, Potter A C 2021 arXiv: 2110.11962 [cond-mat]
[83]	Shi Q, Shih E-M, Gustafsson M V, Rhodes D A, Kim B, Watanabe K, Taniguchi T, Papic Z, Hone J, Dean C R 2020 Nat. Nanotechnol. 15 569 Google Scholar
[84]	Manzeli S, Ovchinnikov D, Pasquier D, Yazyev O V, Kis A 2017 Nat. Rev. Mater. 2 17033 Google Scholar
[85]	Fallahazad B, Movva H C P, Kim K, Larentis S, Taniguchi T, Watanabe K, Banerjee S K, Tutuc E 2016 Phys. Rev. Lett. 116 086601 Google Scholar
[86]	Larentis S, Movva H C P, Fallahazad B, Kim K, Behroozi A, Taniguchi T, Watanabe K, Banerjee S K, Tutuc E 2018 Phys. Rev. B 97 201407(R
[87]	Pisoni R, Kormányos A, Brooks M, Lei Z, Back P, Eich M, Overweg H, Lee Y, Rickhaus P, Watanabe K, Taniguchi T, Imamoglu A, Burkard G, Ihn T, Ensslin K 2018 Phys. Rev. Lett. 121 247701 Google Scholar
[88]	Lu J M, Zheliuk O, Leermakers I, Yuan N F Q, Zeitler U, Law K T, Ye J T 2015 Science 350 1353
[89]	Splendiani A, Sun L, Zhang Y, Li T, Kim J, Chim C Y, Galli G, Wang F 2010 Nano. Lett. 10 1271 Google Scholar
[90]	Mak K F, Lee C, Hone J, Shan J, Heinz T F 2010 Phys. Rev. Lett. 105 136805 Google Scholar
[91]	Naik M H, Jain M 2018 Phys. Rev. Lett. 121 266401 Google Scholar
[92]	Zhang C, Chuu C P, Ren X, Li M Y, Li L J, Jin C, Chou M Y, Shih C K 2017 Sci. Adv. 3 e1601459 Google Scholar
[93]	Pan Y, Folsch S, Nie Y, Waters D, Lin Y C, Jariwala B, Zhang K, Cho K, Robinson J A, Feenstra R M 2018 Nano Lett. 18 1849 Google Scholar
[94]	Wu F, Lovorn T, MacDonald A H 2017 Phys. Rev. Lett. 118 147401 Google Scholar
[95]	Yu H, Liu G B, Tang J, Xu X, Yao W 2017 Sci. Adv. 3 e1701696 Google Scholar
[96]	Hubbard J 1963 Proc. R. Soc. London, Ser. A 276 238 Google Scholar
[97]	Quintanilla J, Hooley C 2009 Phys. World 22 32
[98]	Greiner M, Mandel O, Esslinger T, Hänsch T W, Bloch I 2002 Nature 415 39
[99]	Georgescu I M, Ashhab S, Nori F 2014 Rev. Mod. Phys. 86 153 Google Scholar
[100]	Liu Y, Stradins P, Wei S H 2016 Sci. Adv. 2 e1600069 Google Scholar
[101]	Imada M, Fujimori A, Tokura Y 1998 Rev. Mod. Phys. 70 1039 Google Scholar
[102]	Senthil T 2008 Phys. Rev. B 78 045109 Google Scholar
[103]	Szasz A, Motruk J, Zaletel M P, Moore J E 2020 Phys. Rev. X 10 021042 Google Scholar
[104]	Balents L 2010 Nature 464 199 Google Scholar
[105]	Georges A, Kotliar G, Krauth W, Rozenberg A J 1996 Rev. Mod. Phys. 68 13 Google Scholar
[106]	Tang H, Carr S, Kaxiras E 2021 Phys. Rev. B 104 155415 Google Scholar
[107]	Kundu S, Naik M H, Krishnamurthy H R, Jain M 2022 Phys. Rev. B 105 L081108 Google Scholar
[108]	Zhou B T, Egan S, Franz M 2022 Phys. Rev. Res. 4 L012032 Google Scholar
[109]	Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 226801 Google Scholar
[110]	Chang C Z, Zhang J, Feng X, Shen J, Zhang Z, Guo M, Li K, Ou Y, Wei P, Wang L L, Ji Z Q, Feng Y, Ji S, Chen X, Jia J, Dai X, Fang Z, Zhang S C, He K, Wang Y, Lu L, Ma X C, Xue Q K 2013 Science 340 167 Google Scholar
[111]	Mogi M, Yoshimi R, Tsukazaki A, Yasuda K, Kozuka Y, Takahashi K S, Kawasaki M, Tokura Y 2015 Appl. Phys. Lett. 107 182401
[112]	Deng Y, Yu Y, Shi M Z, Guo Z, Xu Z, Wang J, Chen X H, Zhang Y 2020 Science 367 895
[113]	Ezawa M, Tanaka Y, Nagaosa N 2013 Sci. Rep. 3 2790 Google Scholar
[114]	Hohenadler M, Assaad F F 2013 J. Phys. Condens. Matter 25 143201 Google Scholar
[115]	Amaricci A, Budich J C, Capone M, Trauzettel B, Sangiovanni G 2015 Phys. Rev. Lett. 114 185701 Google Scholar
[116]	Zhang Y, Devakul T, Fu L 2021 PNAS 118 e2112673118
[117]	Xie Y M, Zhang C P, Hu J X, Mak K F, Law K T 2022 Phys. Rev. Lett. 128 026402 Google Scholar
[118]	Devakul T, Fu L 2021 arXiv: 2109.13909 [cond-mat]
[119]	Rademaker L 2022 Phys. Rev. B 105 195428
[120]	Pan H, Xie M, Wu F, Sarma S D 2021 arXiv: 2111.01152 [cond-mat]
[121]	Chang Y W, Chang Y C 2022 arXiv: 2203.10088 [cond-mat]
[122]	Li H, Kumar U, Sun K, Lin S Z 2021 Phys. Rev. Res. 3 L032070 Google Scholar

Cited By

图 1 过渡金属硫族化合物　(a), (b) 2H相TMDc的结构示意图, 其中青色代表过渡金属原子, 黄色代表硫族元素原子; (c) 2H相TMDc的能带结构示意图

Figure 1. Transition metal dichalcogenides: (a), (b) Schematic illustrations of 2H phase TMDc, where cyan balls denote transition metal atoms and yellow balls denote chalcogenide atoms; (c) schematic band structures of 2H TMDc.

DownLoad: Full-Size Img PowerPoint

图 2 转角MoS₂莫尔超晶格^[91]. AA堆垛(3.5°转角, (a)—(d))和AB堆垛的(56.5°转角, (e)—(h))MoS₂莫尔超晶格的示意图及高对称性点的堆垛示意图

Figure 2. Twisted MoS₂ moiré superlattices^[91]: Schematics plots of AA-stacked (3.5° twisted, (a)–(d)) and AB-stacked (56.5° twisted, (e)–(h)) MoS₂ moiré superlattices, the high-symmetry stackings are highlighted by circles.

DownLoad: Full-Size Img PowerPoint

图 3 WSe₂/WS₂莫尔超晶格中的关联电子态　(a) 基于光学探测得到的WSe₂/WS₂莫尔超晶格样品的量子电容信号^[44]; (b)莫尔超晶格Mott绝缘体和广义的Wigner晶态示意图^[44]; (c) WSe₂/WS₂莫尔超晶格能带结构示意图^[45]; (d) 不同温度下通过两端输运测量得到的WSe₂/WS₂莫尔超晶格的电阻随填充因子的变化^[45]; (e) 通过磁光测量得到的等效g因子和Wiess温度随v的变化^[45]. 值得指出的是, 图(a)中横轴n/n₀的含义即为莫尔超晶格填充因子v ; 而图(d), (e)中横轴n/n₀的含义为莫尔子带填充因子, 即为2v

Figure 3. Correlated states in WSe₂/WS₂ moiré superlattices: (a) Quantum capacitance signals detected by optical probe in WSe₂/WS₂ moiré superlattices^[44]; (b) schematic illustrations of Mott insulator and generalized Wigner crystal states^[44]; (c) schematic band alignment of the WSe₂/WS₂ moiré superlattice; (d) temperature dependence of two-terminal resistance of WSe₂/WS₂ moiré superlattices versus moiré filling factors^[45]; (e) g factors and Wiess temperatures versus moiré filling factors obtained by magneto-optical measurements^[45]. The top x-axis n/n₀ of panel (a) equals to the moiré filling factor v, whereas the x-axis n/n₀ of panels (d) and (e) represents the moiré mini band filling factor, which equals to 2v.

DownLoad: Full-Size Img PowerPoint

图 4 TMDc莫尔超晶格中的Mott相变　(a) 在转角WSe₂莫尔超晶格中, 样品电阻随温度和填充因子的变化^[62]; (b) 不同填充因子下转角WSe₂电阻随温度变化规律的概括, 其中在相变临界区域电阻随温度的变化明显不同于费米液体^[62]; (c) AA堆垛的WSe₂/MoTe₂莫尔超晶格样品的电阻随双栅极的变化^[63]; (d) 保持莫尔子带半满时, 外加电场使WSe₂/MoTe₂中发生连续Mott相变^[63]; (e) 莫尔子带半满时, 不同电场下的样品电阻随温度的变化, 可以清楚地看到Mott绝缘体到金属的相变^[63].

Figure 4. Mott transition in TMDc moiré superlattices: (a) Measured resistance versus temperature and moiré filling factors of twisted WSe₂ moiré superlattices ^[62]; (b) summary of temperature dependent resistance of twisted WSe₂ at various moiré filling factors ^[62]; (c) resistance of AA-stacked WSe₂/MoTe₂ moiré superlattices versus dual gates ^[63]; (d) Mott transition at half-filled moiré mini band induced by applied electric fields ^[63]; (e) when the first moiré mini band is half-filled, the measured temperature dependent resistance at various electric fields, where a transition from a Mott insulator phase to a metallic phase can be clearly identified^[63].

DownLoad: Full-Size Img PowerPoint

图 5 TMDc莫尔同质结中的拓扑能带结构^[79]　(a) 以1.2°转角的MoTe₂莫尔超晶格为例, 计算得到的价带K谷的能带结构及莫尔子带的陈数; (b)态密度随莫尔子带填充因子的变化; (c)第一莫尔子带Berry曲率的分布; (d) 该系统中电子跳跃项的示意图, 不同颜色用以区分两层MoTe₂

Figure 5. Topological band structures in TMDc homo-bilayer moiré superlattices^[79]: (a) Calculated band structure and Chern numbers at K valley of a 1.2° twisted MoTe₂ twisted moiré superlattice; (b) density of state versus moiré filling factors; (c) Berry curvature distributions of the first moiré mini band; (d) illustration of the hopping terms.

DownLoad: Full-Size Img PowerPoint

图 6 AB堆垛的WSe₂/MoTe₂莫尔超晶格中的拓扑量子态^[65]　(a) 莫尔超晶格及高对称点堆垛方式示意图, 其中M代表Mo或W原子, X代表Se或Te原子; (b)当莫尔子带填满时, 电场诱导系统发生能带绝缘体到量子自旋霍尔效应的相变; 当莫尔子带半满时, 电场诱导系统发生Mott绝缘体到量子反常霍尔效应的相变; 输运测量得到的纵向电阻R_xx (c)和霍尔电阻R_xy (d)随顶栅和底栅栅压变化的二维图, 测量温度为300 mK, 其中绿色虚线圆圈示意的是量子反常霍尔效应出现的区域; 在出现量子反常霍尔效应区域, 不同温度下测量得到的R_xx (e)和R_xy (f)随磁场的变化

Figure 6. Topological states in AB-stacked WSe₂/MoTe₂ moiré superlattices ^[65]: (a) Schematic plots of moiré superlattices and high symmetry stacking points, where M denotes Mo or W atoms; X denotes Se or Te atoms. (b) Schematic illustrations of electric field induced topological phase transitions. A band insulator to a quantum spin Hall insulator transition is possible when the first moiré mini band is full-filled, and a Mott insulator to a quantum anomalous Hall insulator transition could occur when the first moiré mini band is half-filled. The measured R_xx (c) and R_xy (d) versus top and bottom gate voltages at 300 mK, where the green dashed line circle denotes the quantum anomalous Hall region. At the quantum anomalous Hall region, the measured R_xx and R_xy versus B-field at various temperatures are shown in (e) and (f), respectively.

DownLoad: Full-Size Img PowerPoint

[1]	Esaki L, Tsu R 1970 IBM J. Res. Dev. 14 61 Google Scholar
[2]	Wang S, Scarabelli D, Du L, Kuznetsova Y Y, Pfeiffer L N, West K W, Gardner G C, Manfra M J, Pellegrini V, Wind S J, Pinczuk A 2018 Nat. Nanotechnol. 13 29
[3]	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 80 Google Scholar
[4]	Cao Y, Fatemi V, Fang S, Watanabe K, Taniguchi T, Kaxiras E, Jarillo-Herrero P 2018 Nature 556 43 Google Scholar
[5]	Yankowitz M, Chen S, Polshyn H, Zhang Y, Watanabe K, Taniguchi T, Graf D, Young A F, Dean C R 2019 Science 363 1059 Google Scholar
[6]	Chen G, Jiang L, Wu S, Lyu B, Li H, Chittari B L, Watanabe K, Taniguchi T, Shi Z, Jung J, Zhang Y, Wang F 2019 Nat. Phys. 15 237 Google Scholar
[7]	Sharpe A L, Fox E J, Barnard A W, Finney J, Watanabe K, Taniguchi T, Kastner M A, Goldhaber-Gordon D 2019 Science 365 605 Google Scholar
[8]	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 572 215 Google Scholar
[9]	Kerelsky A, McGilly L J, Kennes D M, Xian L, Yankowitz M, Chen S, Watanabe K, Taniguchi T, Hone J, Dean C, Rubio A, Pasupathy A N 2019 Nature 572 95 Google Scholar
[10]	Xie Y, Lian B, Jack B, Liu X, Chiu C L, Watanabe K, Taniguchi T, Bernevig B A, Yazdani A 2019 Nature 572 101 Google Scholar
[11]	Jiang Y, Lai X, Watanabe K, Taniguchi T, Haule K, Mao J, Andrei E Y 2019 Nature 573 91 Google Scholar
[12]	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, Nadj-Perge S 2019 Nat. Phys. 15 1174 Google Scholar
[13]	Lu X, Stepanov P, Yang W, Xie M, Aamir M A, Das I, Urgell C, Watanabe K, Taniguchi T, Zhang G, Bachtold A, MacDonald A H, Efetov D K 2019 Nature 574 653 Google Scholar
[14]	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 56 Google Scholar
[15]	Serlin M, Tschirhart C L, Polshyn H, Zhang Y, Zhu J, Watanabe K, Taniguchi T, Balents L, Young A F 2020 Science 367 900 Google Scholar
[16]	Wong D, Nuckolls K P, Oh M, Lian B, Xie Y, Jeon S, Watanabe K, Taniguchi T, Bernevig B A, Yazdani A 2020 Nature 582 198 Google Scholar
[17]	Zondiner U, Rozen A, Rodan-Legrain D, Cao Y, Queiroz R, Taniguchi T, Watanabe K, Oreg Y, von Oppen F, Stern A, Berg E, Jarillo-Herrero P, Ilani S 2020 Nature 582 203 Google Scholar
[18]	Cao Y, Rodan-Legrain D, Rubies-Bigorda O, Park J M, Watanabe K, Taniguchi T, Jarillo-Herrero P 2020 Nature 583 215 Google Scholar
[19]	Liu X, Hao Z, Khalaf E, Lee J Y, Ronen Y, Yoo H, Najafabadi D H, Watanabe K, Taniguchi T, Vishwanath A, Kim P 2020 Nature 583 221 Google Scholar
[20]	Burg G W, Zhu J, Taniguchi T, Watanabe K, MacDonald A H, Tutuc E 2019 Phys. Rev. Lett. 123 197702 Google Scholar
[21]	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. 16 520 Google Scholar
[22]	Stepanov P, Das I, Lu X, Fahimniya A, Watanabe K, Taniguchi T, Koppens F H L, Lischner J, Levitov L, Efetov D K 2020 Nature 583 375 Google Scholar
[23]	Arora H S, Polski R, Zhang Y, Thomson A, Choi Y, Kim H, Lin Z, Wilson I Z, Xu X, Chu J H, Watanabe K, Taniguchi T, Alicea J, Nadj-Perge S 2020 Nature 583 379 Google Scholar
[24]	Saito Y, Ge J, Watanabe K, Taniguchi T, Young A F 2020 Nat. Phys. 16 926 Google Scholar
[25]	Polshyn H, Zhu J, Kumar M A, Zhang Y, Yang F, Tschirhart C L, Serlin M, Watanabe K, Taniguchi T, MacDonald A H, Young A F 2020 Nature 588 66 Google Scholar
[26]	Nuckolls K P, Oh M, Wong D, Lian B, Watanabe K, Taniguchi T, Bernevig B A, Yazdani A 2020 Nature 588 610 Google Scholar
[27]	Choi Y, Kim H, Peng Y, Thomson A, Lewandowski C, Polski R, Zhang Y, Arora H S, Watanabe K, Taniguchi T, Alicea J, Nadj-Perge S 2021 Nature 589 536 Google Scholar
[28]	Saito Y, Ge J, Rademaker L, Watanabe K, Taniguchi T, Abanin D A, Young A F 2021 Nat. Phys. 17 478 Google Scholar
[29]	Wu S, Zhang Z, Watanabe K, Taniguchi T, Andrei E Y 2021 Nat. Mater. 20 488 Google Scholar
[30]	Park J M, Cao Y, Watanabe K, Taniguchi T, Jarillo-Herrero P 2021 Nature 592 43 Google Scholar
[31]	Rozen A, Park J M, Zondiner U, Cao Y, Rodan-Legrain D, Taniguchi T, Watanabe K, Oreg Y, Stern A, Berg E, Jarillo-Herrero P, Ilani S 2021 Nature 592 214 Google Scholar
[32]	Saito Y, Yang F, Ge J, Liu X, Taniguchi T, Watanabe K, Li J I A, Berg E, Young A F 2021 Nature 592 220 Google Scholar
[33]	Liu X, Wang Z, Watanabe K, Taniguchi T, Vafek O, Li J I A 2021 Science 371 1261 Google Scholar
[34]	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 372 264 Google Scholar
[35]	Park J M, Cao Y, Watanabe K, Taniguchi T, Jarillo-Herrero P 2021 Nature 590 249
[36]	Cao Y, Park J M, Watanabe K, Taniguchi T, Jarillo-Herrero P 2021 Nature 595 526 Google Scholar
[37]	Oh M, Nuckolls K P, Wong D, Lee R L, Liu X, Watanabe K, Taniguchi T, Yazdani A 2021 Nature 600 240 Google Scholar
[38]	Xie Y, Pierce A T, Park J M, Parker D E, Khalaf E, Ledwith P, Cao Y, Lee S H, Chen S, Forrester P R, Watanabe K, Taniguchi T, Vishwanath A, Jarillo-Herrero P, Yacoby A 2021 Nature 600 439 Google Scholar
[39]	Lin J X, Zhang Y H, Morissette E, Wang Z, Liu S, Rhodes D, Watanabe K, Taniguchi T, Hone J, Li J I A 2022 Science 375 437 Google Scholar
[40]	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 66 Google Scholar
[41]	Kha T, 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 71 Google Scholar
[42]	Jin C, Regan E C, Yan A, Utama M I B, 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 76 Google Scholar
[43]	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 81 Google Scholar
[44]	Regan E C, Wang D, Jin C, Utama M I, Gao B, Wei X, Zhao S, Zhao W, Zhang Z, Yumigeta K, Blei M, Carlstrom J D, Watanabe K, Taniguchi T, Tongay S, Crommie M, Zettl A, Wang F 2020 Nature 579 359 Google Scholar
[45]	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 579 353 Google Scholar
[46]	Xu Y, Liu S, Rhodes D A, Watanabe K, Taniguchi T, Hone J, Elser V, Mak K F, Shan J 2020 Nature 587 214 Google Scholar
[47]	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. 20 940 Google Scholar
[48]	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 597 650 Google Scholar
[49]	Shimazaki Y, Schwartz I, Watanabe K, Taniguchi T, Kroner M, Imamoglu A 2020 Nature 580 472 Google Scholar
[50]	Chu Z, Regan E C, Ma X, Wang D, Xu Z, Utama M I B, Yumigeta K, Blei M, Watanabe K, Taniguchi T, Tongay S, Wang F, Lai K 2020 Phys. Rev. Lett. 125 186803 Google Scholar
[51]	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. 17 715 Google Scholar
[52]	Li T, Zhu J, Tang Y, Watanabe K, Taniguchi T, Elser V, Shan J, Mak K F 2021 Nat. Nanotechnol. 16 1068 Google Scholar
[53]	Tang Y, Gu J, Liu S, Watanabe K, Taniguchi T, Hone J, Mak K F, Shan J 2021 Nat. Nanotechnol. 16 52 Google Scholar
[54]	Liu E, Taniguchi T, Watanabe K, Gabor N M, Cui Y T, Lui C H 2021 Phys. Rev. Lett. 127 037402 Google Scholar
[55]	Gu J, Ma L, Liu S, Watanabe K, Taniguchi T, Hone J C, Shan J, Mak K F 2022 Nat. Phys. 18 395 Google Scholar
[56]	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 604 648
[57]	Shabani S, Halbertal D, Wu W, Chen M, Liu S, Hone J, Yao W, Basov D N, Zhu X, Pasupathy A N 2021 Nat. Phys. 17 720 Google Scholar
[58]	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. 20 945 Google Scholar
[59]	Li H, Li S, Naik M H, Xie J, Li X, Regan E, Wang D, Zhao W, Yumigeta K, Blei M, Taniguchi T, Watanabe K, Tongay S, Zettl A, Louie S G, Crommie M F, Wang F 2021 Nat. Phys. 17 1114 Google Scholar
[60]	Li E, Hu J X, Feng X, Zhou Z, An L, Law K T, Wang N, Lin N 2021 Nat. Commun. 12 5601 Google Scholar
[61]	Stansbury C H, Utama M I B, Fatuzzo C G, Regan E C, Wang D, Xiang Z, Ding M, Watanabe K, Taniguchi T, Blei M, Shen Y, Lorcy S, Bostwick A, Jozwiak C, Koch R, Tongay S, Avila J, Rotenberg E, Wang F, Lanzara A 2021 Sci. Adv. 7 eabf4387 Google Scholar
[62]	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 597 345 Google Scholar
[63]	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 597 350 Google Scholar
[64]	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. 19 861 Google Scholar
[65]	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 600 641 Google Scholar
[66]	Balents L, Dean C R, Efetov D K, Young A F 2020 Nat. Phys. 16 725 Google Scholar
[67]	Tsui D C, Stormer H L, Gossard A C 1982 Phys. Rev. Lett. 48 1559 Google Scholar
[68]	Bednorz J G, Miiller K A 1986 Z. Phys. B: Condens. Matter 64 189 Google Scholar
[69]	Bistritzer R, MacDonald A H 2011 PNAS 108 12233 Google Scholar
[70]	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 497 594 Google Scholar
[71]	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 497 598 Google Scholar
[72]	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 1427
[73]	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, Kim P 2019 Nat. Mater. 18 448 Google Scholar
[74]	Uri A, Grover S, Cao Y, Crosse J A, Bagani K, Rodan-Legrain D, Myasoedov Y, Watanabe K, Taniguchi T, Moon P, Koshino M, Jarillo-Herrero P, Zeldov E 2020 Nature 581 47 Google Scholar
[75]	Rosenberger M R, Chuang H J, Phillips M, Oleshko V P, McCreary K M, Sivaram S V, Hellberg C S, Jonker B T 2020 ACS Nano 14 4550 Google Scholar
[76]	Wu F, Lovorn T, Tutuc E, MacDonald A H 2018 Phys. Rev. Lett. 121 026402 Google Scholar
[77]	Pan H, Wu F, Das Sarma S 2020 Phys. Rev. B 102 201104(R
[78]	Morales-Durán N, Hu N C, Pawel P, MacDonald A H 2021 arXiv: 2108.03313 [cond-mat]
[79]	Wu F, Lovorn T, Tutuc E, Martin I, MacDonald A H 2019 Phys. Rev. Lett. 122 086402 Google Scholar
[80]	Pan H, Wu F, Das Sarma S 2020 Phys. Rev. Res. 2 033087 Google Scholar
[81]	Devakul T, Crépel V, Zhang Y, Fu L 2021 Nat. Commn. 12 6730 Google Scholar
[82]	Kumar A, Hu N C, MacDonald A H, Potter A C 2021 arXiv: 2110.11962 [cond-mat]
[83]	Shi Q, Shih E-M, Gustafsson M V, Rhodes D A, Kim B, Watanabe K, Taniguchi T, Papic Z, Hone J, Dean C R 2020 Nat. Nanotechnol. 15 569 Google Scholar
[84]	Manzeli S, Ovchinnikov D, Pasquier D, Yazyev O V, Kis A 2017 Nat. Rev. Mater. 2 17033 Google Scholar
[85]	Fallahazad B, Movva H C P, Kim K, Larentis S, Taniguchi T, Watanabe K, Banerjee S K, Tutuc E 2016 Phys. Rev. Lett. 116 086601 Google Scholar
[86]	Larentis S, Movva H C P, Fallahazad B, Kim K, Behroozi A, Taniguchi T, Watanabe K, Banerjee S K, Tutuc E 2018 Phys. Rev. B 97 201407(R
[87]	Pisoni R, Kormányos A, Brooks M, Lei Z, Back P, Eich M, Overweg H, Lee Y, Rickhaus P, Watanabe K, Taniguchi T, Imamoglu A, Burkard G, Ihn T, Ensslin K 2018 Phys. Rev. Lett. 121 247701 Google Scholar
[88]	Lu J M, Zheliuk O, Leermakers I, Yuan N F Q, Zeitler U, Law K T, Ye J T 2015 Science 350 1353
[89]	Splendiani A, Sun L, Zhang Y, Li T, Kim J, Chim C Y, Galli G, Wang F 2010 Nano. Lett. 10 1271 Google Scholar
[90]	Mak K F, Lee C, Hone J, Shan J, Heinz T F 2010 Phys. Rev. Lett. 105 136805 Google Scholar
[91]	Naik M H, Jain M 2018 Phys. Rev. Lett. 121 266401 Google Scholar
[92]	Zhang C, Chuu C P, Ren X, Li M Y, Li L J, Jin C, Chou M Y, Shih C K 2017 Sci. Adv. 3 e1601459 Google Scholar
[93]	Pan Y, Folsch S, Nie Y, Waters D, Lin Y C, Jariwala B, Zhang K, Cho K, Robinson J A, Feenstra R M 2018 Nano Lett. 18 1849 Google Scholar
[94]	Wu F, Lovorn T, MacDonald A H 2017 Phys. Rev. Lett. 118 147401 Google Scholar
[95]	Yu H, Liu G B, Tang J, Xu X, Yao W 2017 Sci. Adv. 3 e1701696 Google Scholar
[96]	Hubbard J 1963 Proc. R. Soc. London, Ser. A 276 238 Google Scholar
[97]	Quintanilla J, Hooley C 2009 Phys. World 22 32
[98]	Greiner M, Mandel O, Esslinger T, Hänsch T W, Bloch I 2002 Nature 415 39
[99]	Georgescu I M, Ashhab S, Nori F 2014 Rev. Mod. Phys. 86 153 Google Scholar
[100]	Liu Y, Stradins P, Wei S H 2016 Sci. Adv. 2 e1600069 Google Scholar
[101]	Imada M, Fujimori A, Tokura Y 1998 Rev. Mod. Phys. 70 1039 Google Scholar
[102]	Senthil T 2008 Phys. Rev. B 78 045109 Google Scholar
[103]	Szasz A, Motruk J, Zaletel M P, Moore J E 2020 Phys. Rev. X 10 021042 Google Scholar
[104]	Balents L 2010 Nature 464 199 Google Scholar
[105]	Georges A, Kotliar G, Krauth W, Rozenberg A J 1996 Rev. Mod. Phys. 68 13 Google Scholar
[106]	Tang H, Carr S, Kaxiras E 2021 Phys. Rev. B 104 155415 Google Scholar
[107]	Kundu S, Naik M H, Krishnamurthy H R, Jain M 2022 Phys. Rev. B 105 L081108 Google Scholar
[108]	Zhou B T, Egan S, Franz M 2022 Phys. Rev. Res. 4 L012032 Google Scholar
[109]	Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 226801 Google Scholar
[110]	Chang C Z, Zhang J, Feng X, Shen J, Zhang Z, Guo M, Li K, Ou Y, Wei P, Wang L L, Ji Z Q, Feng Y, Ji S, Chen X, Jia J, Dai X, Fang Z, Zhang S C, He K, Wang Y, Lu L, Ma X C, Xue Q K 2013 Science 340 167 Google Scholar
[111]	Mogi M, Yoshimi R, Tsukazaki A, Yasuda K, Kozuka Y, Takahashi K S, Kawasaki M, Tokura Y 2015 Appl. Phys. Lett. 107 182401
[112]	Deng Y, Yu Y, Shi M Z, Guo Z, Xu Z, Wang J, Chen X H, Zhang Y 2020 Science 367 895
[113]	Ezawa M, Tanaka Y, Nagaosa N 2013 Sci. Rep. 3 2790 Google Scholar
[114]	Hohenadler M, Assaad F F 2013 J. Phys. Condens. Matter 25 143201 Google Scholar
[115]	Amaricci A, Budich J C, Capone M, Trauzettel B, Sangiovanni G 2015 Phys. Rev. Lett. 114 185701 Google Scholar
[116]	Zhang Y, Devakul T, Fu L 2021 PNAS 118 e2112673118
[117]	Xie Y M, Zhang C P, Hu J X, Mak K F, Law K T 2022 Phys. Rev. Lett. 128 026402 Google Scholar
[118]	Devakul T, Fu L 2021 arXiv: 2109.13909 [cond-mat]
[119]	Rademaker L 2022 Phys. Rev. B 105 195428
[120]	Pan H, Xie M, Wu F, Sarma S D 2021 arXiv: 2111.01152 [cond-mat]
[121]	Chang Y W, Chang Y C 2022 arXiv: 2203.10088 [cond-mat]
[122]	Li H, Kumar U, Sun K, Lin S Z 2021 Phys. Rev. Res. 3 L032070 Google Scholar

[1]	Liu Zhao. Fractionalized topological states in moiré superlattices. Acta Physica Sinica, 2024, 73(20): 207303. doi: 10.7498/aps.73.20241029
[2]	Tang Yan-Hao. Exotic states in moiré superlattices of twisted semiconducting transition metal dichalcogenides. Acta Physica Sinica, 2023, 72(2): 027802. doi: 10.7498/aps.72.20222080
[3]	. Preface to the special topic: Two dimensional twisted moiré superlattice. Acta Physica Sinica, 2023, 72(6): 060101. doi: 10.7498/aps.72.060101
[4]	Huang Min, Li Zhan-Hai, Cheng Fang. Tunable electronic structures and interface contact in graphene/C₃N van der Waals heterostructures. Acta Physica Sinica, 2023, 72(14): 147302. doi: 10.7498/aps.72.20230318
[5]	Xiao Cong, Yao Wang. Quantum layertronics in van der Waals systems. Acta Physica Sinica, 2023, 72(23): 237302. doi: 10.7498/aps.72.20231323
[6]	Xu Kun-Qi, Hu Cheng, Shen Pei-Yue, Ma Sai-Qun, Zhou Xian-Liang, Liang Qi, Shi Zhi-Wen. Near-field optical characterization of atomic structures and polaritons in twisted two-dimensional materials. Acta Physica Sinica, 2023, 72(2): 027102. doi: 10.7498/aps.72.20222145
[7]	Guo Rui-Ping, Yu Hong-Yi. Position- and momentum-dependent interlayer couplings in two-dimensional semiconductor moiré superlattices. Acta Physica Sinica, 2023, 72(2): 027302. doi: 10.7498/aps.72.20222046
[8]	Wu Ze-Fei, Huang Mei-Zhen, Wang Ning. Nonlinear Hall effects in two-dimensional moiré superlattices. Acta Physica Sinica, 2023, 72(23): 237301. doi: 10.7498/aps.72.20231324
[9]	Huang Jia-Bei, Lian Fu-Zhuo, Wang Zhi-Yuan, Sun Shi-Tao, Li Ming, Zhang Di, Cai Xiao-Fan, Ma Guo-Dong, Mai Zhi-Hong, Andy Shen, Wang Lei, Yu Ge-Liang. Two-dimensional van der Waals: Characterization and manipulation of superconductivity. Acta Physica Sinica, 2022, 71(18): 187401. doi: 10.7498/aps.71.20220638
[10]	Wang Chen, Xia Wei, Suo Peng, Wang Wei, Lin Xian, Guo Yan-Feng, Ma Guo-Hong. Quasi-two-dimensional van der Waals ferromagnetic semiconductor CrGeTe₃ studied by THz spectroscopy. Acta Physica Sinica, 2022, 71(23): 237303. doi: 10.7498/aps.71.20221586
[11]	Zhang Lun, Chen Hong-Li, Yi Yu, Zhang Zhen-Hua. Electronic and optical properties and quantum tuning effects of As/Hfs₂ van der Waals heterostructure. Acta Physica Sinica, 2022, 71(17): 177304. doi: 10.7498/aps.71.20220371
[12]	Zhan Zhen, Zhang Ya-Lei, Yuan Sheng-Jun. Lattice relaxation and substrate effects of graphene moiré superlattice. Acta Physica Sinica, 2022, 71(18): 187302. doi: 10.7498/aps.71.20220872
[13]	Wu Fan-Fan, Ji Yi-Ru, Yang Wei, Zhang Guang-Yu. Experimental research progress of electronic band structure and low temperature transport based on molybdenum disulfide. Acta Physica Sinica, 2022, 71(12): 127306. doi: 10.7498/aps.71.20220015
[14]	Wang Zhong-Rui, Jiang Yu-Hang. Physical properties of novel electronic states related to flat band in twisted two-dimensional quantum materials. Acta Physica Sinica, 2022, 71(12): 127202. doi: 10.7498/aps.71.20220064
[15]	Xing Hai-Ying, Zheng Zhi-Jian, Zhang Zi-Han, Wu Wen-Jing, Guo Zhi-Ying. Tunable electronic structure and optical properties of BlueP/X Te₂ (X = Mo, W) van der Waals heterostructures by strain. Acta Physica Sinica, 2021, 70(6): 067101. doi: 10.7498/aps.70.20201728
[16]	Suo Peng, Xia Wei, Zhang Wen-Jie, Zhu Xiao-Qing, Guo Jia-Jia, Fu Ji-Bo, Lin Xian, Guo Yan-Feng, Ma Guo-Hong. Quasi-two-dimensional van der Waals semiconducting magnet CrSiTe₃ studied by using THz spectroscopy. Acta Physica Sinica, 2020, 69(20): 207302. doi: 10.7498/aps.69.20200682
[17]	Lü Xin-Yu, Li Zhi-Qiang. Topological properties of graphene moiré superlattice systems and recent optical studies. Acta Physica Sinica, 2019, 68(22): 220303. doi: 10.7498/aps.68.20191317
[18]	Lu Xiao-Bo, Zhang Guang-Yu. Graphene/h-BN Moiré superlattice. Acta Physica Sinica, 2015, 64(7): 077305. doi: 10.7498/aps.64.077305
[19]	Xu Hui, Deng Chao-Sheng, Liu Xiao-Liang, Ma Song-Shan, Wu Xiao-Zan. The electronic states in one-dimensional disordered system with long-range correlations. Acta Physica Sinica, 2007, 56(3): 1643-1648. doi: 10.7498/aps.56.1643
[20]	FAN YONG-CHANG, LI MING-SHENG, LI BAI-WEN. TWO-BODY CORRELATION FOR THE EXCITED STATES OF THE ATOMS. Acta Physica Sinica, 1988, 37(10): 1633-1639. doi: 10.7498/aps.37.1633

Catalog

Vol. 71, Issue 12 - 2022-06-20

Metrics

Abstract views: 8562
PDF Downloads: 664
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板