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Quantum Hall effects of exciton condensate in topological flat bands

机译：拓扑扁平带中激子凝结物的量子霍尔疗效

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摘要

Tunable exciton condensates exhibit anomalous Hall transport owing to mutual Coulomb coupling and have been widely studied in two-dimensional electron gas systems under a strong magnetic field. Here, we explore another framework using topological fiat band models in the absence of Landau levels for realizing the many-body exciton phases of two-component fennions under strong intercomponenl interactions. By developing a new diagnosis based on the state-of-the-art density-matrix rcnormalization group and exact diagonalization, we show the theoretical discovery of the emergence of the Halperin (111) quantum Hall effect at a total filling factor ⅴ = 1 in the lowest Chern band under strong Hubbard repulsion, which is classified by the unique ground state with bulk charge insulation and spin superfluidity, The topological nature is further characterized by one edge branch of chiral propagating Luttinger modes with level counting 1, 1, 2, 3, 5, 7, consistent with the conformal field theory description. Moreover, with nearest-neighbor repulsions, we propose the Halperin (333) fractional quantum Hall effect at a total filling factor ⅴ = 1/3 in the lowest Chern band.
机译：可调谐激子凝结物由于相互互动的库仑耦合而展示了异常霍尔运输，并且已广泛在强磁场下的二维电子气体系统中研究。在这里，我们在缺乏Landau水平的情况下探索使用拓扑菲亚特乐队模型的另一架构，以在强大的互通相互作用下实现双组分髁的许多身体激子阶段。通过基于最先进的密度 - 矩阵Rcnormalization组和精确的对角化的新诊断，我们展示了Halperin（111）量子霍尔效应的理论发现，在总灌浆因子χ= 1中在强大的Hubbard排斥下的最低挖掘乐队，其通过具有散装电荷绝缘和旋转超浊的独特地位，拓扑性质进一步特征，其具有手性传播Luttinger模式的一个边缘分支，水平计数1,1,2,3 ，5,7，与保形场理论描述一致。此外，在最近的邻居排斥中，我们提出了在最低塞乐队中的总灌装因子ⅴ= 1/3的总灌装因子ⅴ= 1/3的卤素（333）的分数量子霍姆效应。

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  • 来源
    《Physical review》 |2020年第19期|195310.1-195310.7|共7页
  • 作者

    Tian-Sheng Zeng; D. N. Sheng; W. Zhu;

  • 作者单位

    School of Science Westlake University Hangzhou 310024 China and Institute of Natural Sciences Westlake Institute for Advanced Study Hangzhou 310024 China;

    Department of Physics and Astronomy California State University Northridge California 91330 USA;

    School of Science Westlake University Hangzhou 310024 China and Institute of Natural Sciences Westlake Institute for Advanced Study Hangzhou 310024 China;

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