莫尔超晶格中的分数化拓扑量子态

刘钊

doi:10.7498/aps.73.20241029

摘要

带有分数化准粒子激发的分数量子霍尔态是一种奇特的强关联拓扑量子物态, 自1982年在强磁场二维电子气中被首次观测到以来一直是凝聚态物理重要的前沿方向. 去年来, 有多个团队在基于过渡金属硫族化合物和石墨烯的莫尔超晶格中观测到了零磁场分数量子霍尔效应, 在莫尔超晶格中还发现了分数量子自旋霍尔效应的迹象. 这表明莫尔超晶格体系能够有效调控能带及相互作用, 是在零磁场条件下实现分数化拓扑量子态的理想平台. 本文简要论述了与此相关的研究进展和存在的挑战, 并对该领域未来可能的发展方向做出展望.

关键词:

Abstract

Fractional quantum Hall (FQH) states with fractionalized 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. Since last year, FQH transport at zero magnetic field has been observed in moiré superlattices based on transition metal dichalcogenides (TMDs) and graphene. Furthermore, the evidence of fractional quantum spin Hall effect has also been reported in TMD moiré superlattices. These results demonstrate that moiré superlattices are an ideal platform for controlling band structures and interactions to realize fractionalized topological states without the intervention of external magnetic fields. In this paper, we will briefly review the recent research progress on fractionalized topological states in moiré superlattices, summarize the existing challenges, and discuss possible future development of this field.

Keywords:

作者及机构信息

刘钊

浙江大学物理学院, 浙江近代物理中心, 杭州　310058

通信作者: 刘钊, zhaol@zju.edu.cn

基金项目: 国家自然科学基金(批准号: 12374149, 12350403)资助的课题.

Authors and contacts

Liu Zhao

Zhejiang Institute of Modern Physics, School of Physics, Zhejiang University, Hangzhou 310058, China

Corresponding author: Liu Zhao, zhaol@zju.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 12374149, 12350403).

文章全文 : translate this paragraph

参考文献

[1]	Kang K, Shen B, Qiu Y, Zeng Y, Xia Z, Watanabe K, Taniguchi T, Shan J, Mak K F 2024 Nature 628 522 Google Scholar
[2]	Moore G, Read N 1991 Nucl. Phys. B 360 362 Google Scholar
[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 Google Scholar
[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 Google Scholar
[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 Google Scholar
[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 Google Scholar
[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 Google Scholar
[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 Google Scholar
[10]	Tsui D C, Stormer H L, Gossard A C 1982 Phys. Rev. Lett. 48 1559 Google Scholar
[11]	Wen X G 1995 Adv. Phys. 44 405 Google Scholar
[12]	Nayak C, Simon S H, Stern A, Freedman M, Das Sarma S 2008 Rev. Mod. Phys. 80 1083 Google Scholar
[13]	Haldane F D M 1988 Phys. Rev. Lett. 61 2015 Google Scholar
[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 Google Scholar
[15]	Tang E, Mei J W, Wen X G 2011 Phys. Rev. Lett. 106 236802 Google Scholar
[16]	Sun K, Gu Z, Katsura H, Sarma S D 2011 Phys. Rev. Lett. 106 236803 Google Scholar
[17]	Neupert T, Santos L, Chamon C, Mudry C 2011 Phys. Rev. Lett. 106 236804 Google Scholar
[18]	Sheng D N, Gu Z C, Sun K, Sheng L 2011 Nat. Commun. 2 389 Google Scholar
[19]	Regnault N, Bernevig B A 2011 Phys. Rev. X 1 021014 Google Scholar
[20]	Parameswaran S A, Roy R, Sondhi S L 2013 C.R. Phys. 14 816 Google Scholar
[21]	Bergholtz E J, Liu Z 2013 Int. J. Mod. Phys. B 27 1330017 Google Scholar
[22]	Neupert T, Chamon C, Iadecola T, Santos L H, Mudry C 2015 Phys. Scr. 2015 014005 Google Scholar
[23]	杨威 2023 物理学报 72 060101 Google Scholar Yang W 2023 Acta Phys. Sin. 72 060101 Google Scholar
[24]	Abouelkomsan A, Liu Z, Bergholtz E J 2020 Phys. Rev. Lett. 124 106803 Google Scholar
[25]	Repellin C, Senthil T 2020 Phys. Rev. Research 2 023238 Google Scholar
[26]	Ledwith P J, Tarnopolsky G, Khalaf E, Vishwanath A 2020 Phys. Rev. Research 2 023237 Google Scholar
[27]	Liu Z, Abouelkomsan A, Bergholtz E J 2021 Phys. Rev. Lett. 126 026801 Google Scholar
[28]	Crepel V, Fu L 2023 Phys. Rev. B 107 L201109 Google Scholar
[29]	Li H, Kumar U, Sun K, Lin S Z 2021 Phys. Rev. Research 3 L032070 Google Scholar
[30]	Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 226801 Google Scholar
[31]	Bernevig B A, Zhang S C 2006 Phys. Rev. Lett. 96 106802 Google Scholar
[32]	König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp L W, Qi X L, Zhang S C 2007 Science 318 766 Google Scholar
[33]	Wang C, Zhang X W, Liu X, Wang J, Cao T, Xiao D 2024 arXiv 2404.05697
[34]	Reddy A P, Paul N, Abouelkomsan A, Fu L 2024 arXiv 2403.00059
[35]	Ahn C E, Lee W, Yananose K, Kim Y, Cho G Y 2024 arXiv 2403.19155
[36]	Abouelkomsan A, Fu L 2024 arXiv 2406.14617
[37]	Sodemann Villadiego I 2024 Phys. Rev. B 110 045114 Google Scholar
[38]	Zhang Y H 2024 arXiv 2402.05112
[39]	Jian C M, Cheng M, Xu C 2024 arXiv 2403.07054
[40]	May-Mann J, Stern A, Devakul T 2024 arXiv 2403.03964
[41]	Zhang Y H 2024 arXiv 2403.12126
[42]	Wang C, Zhang X W, Liu X, He Y, Xu X, Ran Y, Cao T, Xiao D 2024 Phys. Rev. Lett. 132 036501 Google Scholar
[43]	Reddy A P, Alsallom F, Zhang Y, Devakul T, Fu L 2023 Phys. Rev. B 108 085117 Google Scholar
[44]	Yu J, Herzog-Arbeitman H, Wang M, Vafek O, Andrei Bernevig B, Regnault N 2024 Phys. Rev. B 109 045147 Google Scholar
[45]	Xu C, Li J, Xu Y, Zhang Y 2024 PNAS 121 e2316749121 Google Scholar
[46]	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 Google Scholar
[47]	Dong Z, Patri A S, Senthil T 2023 arXiv 2311.03445
[48]	Zhou B, Yang H, Zhang Y H 2024 arXiv 2311.04217
[49]	Dong J, Wang T, Wang T, Soejima T, Zaletel M P, Vishwanath A, Parker D E 2024 arXiv 2311.05568
[50]	Guo Z, Lu X, Xie B, Liu J 2023 Phys. Rev. B 110 075109
[51]	Kwan Y H, Yu J, Herzog-Arbeitman J, Efetov D K, Regnault N, Bernevig B A 2023 arXiv 2312.11617
[52]	Lu Z, Han T, Yao Y, Yang J, Seo J, Shi L, Ye S, Watanabe K, Taniguchi T, Ju L 2024 arXiv 2408.10203
[53]	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
[54]	Yu J, Herzog-Arbeitman J, Kwan Y H, Regnault N, Bernevig B A 2024 arXiv 2407.13770
[55]	Ji Z, Park H, Barber M E, Hu C, Watanabe K, Taniguchi T, Chu J H, Xu X, Shen Z X 2024 arXiv 2404.07157
[56]	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
[57]	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
[58]	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

施引文献

[1]	Kang K, Shen B, Qiu Y, Zeng Y, Xia Z, Watanabe K, Taniguchi T, Shan J, Mak K F 2024 Nature 628 522 Google Scholar
[2]	Moore G, Read N 1991 Nucl. Phys. B 360 362 Google Scholar
[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 Google Scholar
[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 Google Scholar
[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 Google Scholar
[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 Google Scholar
[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 Google Scholar
[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 Google Scholar
[10]	Tsui D C, Stormer H L, Gossard A C 1982 Phys. Rev. Lett. 48 1559 Google Scholar
[11]	Wen X G 1995 Adv. Phys. 44 405 Google Scholar
[12]	Nayak C, Simon S H, Stern A, Freedman M, Das Sarma S 2008 Rev. Mod. Phys. 80 1083 Google Scholar
[13]	Haldane F D M 1988 Phys. Rev. Lett. 61 2015 Google Scholar
[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 Google Scholar
[15]	Tang E, Mei J W, Wen X G 2011 Phys. Rev. Lett. 106 236802 Google Scholar
[16]	Sun K, Gu Z, Katsura H, Sarma S D 2011 Phys. Rev. Lett. 106 236803 Google Scholar
[17]	Neupert T, Santos L, Chamon C, Mudry C 2011 Phys. Rev. Lett. 106 236804 Google Scholar
[18]	Sheng D N, Gu Z C, Sun K, Sheng L 2011 Nat. Commun. 2 389 Google Scholar
[19]	Regnault N, Bernevig B A 2011 Phys. Rev. X 1 021014 Google Scholar
[20]	Parameswaran S A, Roy R, Sondhi S L 2013 C.R. Phys. 14 816 Google Scholar
[21]	Bergholtz E J, Liu Z 2013 Int. J. Mod. Phys. B 27 1330017 Google Scholar
[22]	Neupert T, Chamon C, Iadecola T, Santos L H, Mudry C 2015 Phys. Scr. 2015 014005 Google Scholar
[23]	杨威 2023 物理学报 72 060101 Google Scholar Yang W 2023 Acta Phys. Sin. 72 060101 Google Scholar
[24]	Abouelkomsan A, Liu Z, Bergholtz E J 2020 Phys. Rev. Lett. 124 106803 Google Scholar
[25]	Repellin C, Senthil T 2020 Phys. Rev. Research 2 023238 Google Scholar
[26]	Ledwith P J, Tarnopolsky G, Khalaf E, Vishwanath A 2020 Phys. Rev. Research 2 023237 Google Scholar
[27]	Liu Z, Abouelkomsan A, Bergholtz E J 2021 Phys. Rev. Lett. 126 026801 Google Scholar
[28]	Crepel V, Fu L 2023 Phys. Rev. B 107 L201109 Google Scholar
[29]	Li H, Kumar U, Sun K, Lin S Z 2021 Phys. Rev. Research 3 L032070 Google Scholar
[30]	Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 226801 Google Scholar
[31]	Bernevig B A, Zhang S C 2006 Phys. Rev. Lett. 96 106802 Google Scholar
[32]	König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp L W, Qi X L, Zhang S C 2007 Science 318 766 Google Scholar
[33]	Wang C, Zhang X W, Liu X, Wang J, Cao T, Xiao D 2024 arXiv 2404.05697
[34]	Reddy A P, Paul N, Abouelkomsan A, Fu L 2024 arXiv 2403.00059
[35]	Ahn C E, Lee W, Yananose K, Kim Y, Cho G Y 2024 arXiv 2403.19155
[36]	Abouelkomsan A, Fu L 2024 arXiv 2406.14617
[37]	Sodemann Villadiego I 2024 Phys. Rev. B 110 045114 Google Scholar
[38]	Zhang Y H 2024 arXiv 2402.05112
[39]	Jian C M, Cheng M, Xu C 2024 arXiv 2403.07054
[40]	May-Mann J, Stern A, Devakul T 2024 arXiv 2403.03964
[41]	Zhang Y H 2024 arXiv 2403.12126
[42]	Wang C, Zhang X W, Liu X, He Y, Xu X, Ran Y, Cao T, Xiao D 2024 Phys. Rev. Lett. 132 036501 Google Scholar
[43]	Reddy A P, Alsallom F, Zhang Y, Devakul T, Fu L 2023 Phys. Rev. B 108 085117 Google Scholar
[44]	Yu J, Herzog-Arbeitman H, Wang M, Vafek O, Andrei Bernevig B, Regnault N 2024 Phys. Rev. B 109 045147 Google Scholar
[45]	Xu C, Li J, Xu Y, Zhang Y 2024 PNAS 121 e2316749121 Google Scholar
[46]	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 Google Scholar
[47]	Dong Z, Patri A S, Senthil T 2023 arXiv 2311.03445
[48]	Zhou B, Yang H, Zhang Y H 2024 arXiv 2311.04217
[49]	Dong J, Wang T, Wang T, Soejima T, Zaletel M P, Vishwanath A, Parker D E 2024 arXiv 2311.05568
[50]	Guo Z, Lu X, Xie B, Liu J 2023 Phys. Rev. B 110 075109
[51]	Kwan Y H, Yu J, Herzog-Arbeitman J, Efetov D K, Regnault N, Bernevig B A 2023 arXiv 2312.11617
[52]	Lu Z, Han T, Yao Y, Yang J, Seo J, Shi L, Ye S, Watanabe K, Taniguchi T, Ju L 2024 arXiv 2408.10203
[53]	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
[54]	Yu J, Herzog-Arbeitman J, Kwan Y H, Regnault N, Bernevig B A 2024 arXiv 2407.13770
[55]	Ji Z, Park H, Barber M E, Hu C, Watanabe K, Taniguchi T, Chu J H, Xu X, Shen Z X 2024 arXiv 2404.07157
[56]	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
[57]	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
[58]	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

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