-
Fractional quantum Hall (FQH) states with fractionalzed quasiparticles are exotic topologically ordered quantum states driven by strong correlation between particles. Since the first discovery in 1982 in two-dimensional electron gases penetrated by strong magnetic fields, FQH physics has become an attractive frontier of condensed matter physics. From the last year, several research groups have reported observations of FQH transport at zero magnetic field in moir\'e superlattices based on transition metal dichalcogenides (TMD) and graphene. Moreover, evidence of fractional quantum spin Hall effect was also reported in TMD moir\'e superlattices. These results demonstrate that moir\'e superlattices are ideal platforms to control band structure and interactions to realize fractionalized topological states without external magnetic fields. In this paper, we will briefly review the recent progress. We will also summarize the remaining challenges and discuss the possible future development in this field.
-
[1] Kang K, Shen B, Qiu Y, Zeng Y, Xia Z, Watanabe K, Taniguchi T, Shan J, Mak K F 2024 Nature 628 522
[2] Moore G, Read N 1991 Nuclear Physics B 360 362
[3] Cai J, Anderson E, Wang C, Zhang X, Liu X, Holtzmann W, Zhang Y, Fan F, Taniguchi T, Watanabe K, Ran Y, Cao T, Fu L, Xiao D, Yao W, Xu X 2023 Nature 622 63
[4] Zeng Y, Xia Z, Kang K, Zhu J, Knüppel P, Vaswani C, Watanabe K, Taniguchi T, Mak K F, Shan J 2023 Nature 622 69
[5] Park H, Cai J, Anderson E, Zhang Y, Zhu J, Liu X, Wang C, Holtzmann W, Hu C, Liu Z, Taniguchi T, Watanabe K, Chu J H, Cao T, Fu L, Yao W, Chang C Z, Cobden D, Xiao D, Xu X 2023 Nature 622 74
[6] Xu F, Sun Z, Jia T, Liu C, Xu C, Li C, Gu Y, Watanabe K, Taniguchi T, Tong B, Jia J, Shi Z, Jiang S, Zhang Y, Liu X, Li T 2023 Phys. Rev. X 13 031037
[7] Lu Z, Han T, Yao Y, Reddy A P, Yang J, Seo J, Watanabe K, Taniguchi T, Fu L, Ju L 2024 Nature 626 759
[8] Xie J, Huo Z, Lu X, Feng Z, Zhang Z, Wang W, Yang Q, Watanabe K, Taniguchi T, Liu K, Song Z, Xie X C, Liu J, Lu X 2024 arXiv 2405.16944
[9] Klitzing K v, Dorda G, Pepper M 1980 Phys. Rev. Lett. 45 494
[10] Tsui D C, Stormer H L, Gossard A C 1982 Phys. Rev. Lett. 48 1559
[11] Wen X G 1995 Advances in Physics 44 405
[12] Nayak C, Simon S H, Stern A, Freedman M, Das Sarma S 2008 Rev. Mod. Phys. 80 1083
[13] Haldane F D M 1988 Phys. Rev. Lett. 61 2015
[14] 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
[15] Regnault N, Bernevig B A 2011 Phys. Rev. X 1 021014
[16] Parameswaran S A, Roy R, Sondhi S L 2013 Comptes Rendus. Physique 14 816
[17] BERGHOLTZ E J, LIU Z 2013 International Journal of Modern Physics B 27 1330017
[18] Neupert T, Chamon C, Iadecola T, Santos L H, Mudry C 2015 Physica Scripta 2015 014005
[19] Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 226801
[20] Bernevig B A, Zhang S C 2006 Phys. Rev. Lett. 96 106802
[21] König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp L W, Qi X L, Zhang S C 2007 Science 318 766
[22] Wang C, Zhang X W, Liu X, Wang J, Cao T, Xiao D 2024 arXiv 2404.05697
[23] Reddy A P, Paul N, Abouelkomsan A, Fu L 2024 arXiv 2403.00059
[24] Ahn C E, Lee W, Yananose K, Kim Y, Cho G Y 2024 arXiv 2403.19155
[25] Abouelkomsan A, Fu L 2024 arXiv 2406.14617
[26] Sodemann Villadiego I 2024 Phys. Rev. B 110 045114
[27] Zhang Y H 2024 arXiv 2402.05112
[28] Jian C M, Cheng M, Xu C 2024 arXiv 2403.07054
[29] May-Mann J, Stern A, Devakul T 2024 arXiv 2403.03964
[30] Zhang Y H 2024 arXiv 2403.12126
[31] Herzog-Arbeitman J, Wang Y, Liu J, Tam P M, Qi Z, Jia Y, Efetov D K, Vafek O, Regnault N, Weng H, Wu Q, Bernevig B A, Yu J 2024 Phys. Rev. B 109 205122
[32] Dong Z, Patri A S, Senthil T 2023 arXiv 2311.03445
[33] Zhou B, Yang H, Zhang Y H 2024 arXiv 2311.04217
[34] Dong J, Wang T, Wang T, Soejima T, Zaletel M P, Vishwanath A, Parker D E 2024 arXiv 2311.05568
[35] Guo Z, Lu X, Xie B, Liu J 2023 arXiv 2311.14368
[36] Kwan Y H, Yu J, Herzog-Arbeitman J, Efetov D K, Regnault N, Bernevig B A 2023 arXiv 2312.11617
[37] Lu Z, Han T, Yao Y, Yang J, Seo J, Shi L, Ye S, Watanabe K, Taniguchi T, Ju L 2024 arXiv 2408.10203
[38] Waters D, Okounkova A, Su R, Zhou B, Yao J, Watanabe K, Taniguchi T, Xu X, Zhang Y H, Folk J, Yankowitz M 2024 arXiv 2408.10133
[39] Yu J, Herzog-Arbeitman J, Kwan Y H, Regnault N, Bernevig B A 2024 arXiv 2407.13770
[40] Ji Z, Park H, Barber M E, Hu C, Watanabe K, Taniguchi T, Chu J H, Xu X, xun Shen Z 2024 arXiv 2404.07157
[41] Park H, Cai J, Anderson E, Zhang X W, Liu X, Holtzmann W, Li W, Wang C, Hu C, Zhao Y, Taniguchi T, Watanabe K, Yang J, Cobden D, Chu J H, Regnault N, Bernevig B A, Fu L, Cao T, Xiao D, Xu X 2024 arXiv 2406.09591
[42] Xu F, Chang X, Xiao J, Zhang Y, Liu F, Sun Z, Mao N, Peshcherenko N, Li J, Watanabe K, Taniguchi T, Tong B, Lu L, Jia J, Qian D, Shi Z, Zhang Y, Liu X, Jiang S, Li T 2024 arXiv 2406.09687
[43] Kwan Y H, Wagner G, Yu J, Dagnino A K, Jiang Y, Xu X, Bernevig B A, Neupert T, Regnault N 2024 arXiv 2407.02560
Metrics
- Abstract views: 63
- PDF Downloads: 1
- Cited By: 0