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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.
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关键词:
- 莫尔超晶格 /
- 分数陈绝缘体 /
- 分数量子自旋霍尔效应 /
- 非阿贝尔拓扑序
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:
- moiré superlattice /
- fractional Chern insulators /
- fractional quantum spin Hall effect /
- non-Abelian topological order
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[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 74Google Scholar
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[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 494Google Scholar
[10] Tsui D C, Stormer H L, Gossard A C 1982 Phys. Rev. Lett. 48 1559Google Scholar
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[15] Tang E, Mei J W, Wen X G 2011 Phys. Rev. Lett. 106 236802Google Scholar
[16] Sun K, Gu Z, Katsura H, Sarma S D 2011 Phys. Rev. Lett. 106 236803Google Scholar
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Yang W 2023 Acta Phys. Sin. 72 060101Google Scholar
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[35] Ahn C E, Lee W, Yananose K, Kim Y, Cho G Y 2024 arXiv 2403.19155
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