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Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Liquids

机译:量子纠缠作为无序分数阶量子霍尔液体中相变的诊断

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摘要

We investigate the disorder-driven phase transition from a fractional quantum Hall state to an Anderson insulator using quantum entanglement methods. We find that the transition is signaled by a sharp increase in the sensitivity of a suitably averaged entanglement entropy with respect to disorder-the magnitude of its disorder derivative appears to diverge in the thermodynamic limit. We also study the level statistics of the entanglement spectrum as a function of disorder. However, unlike the dramatic phase-transition signal in the entanglement entropy derivative, we find a gradual reduction of level repulsion only deep in the Anderson insulating phase.
机译:我们使用量子纠缠方法研究了从分数量子霍尔态到安德森绝缘子的无序驱动相变。我们发现,跃迁是由适当平均的纠缠熵相对于无序性的敏感度的急剧增加所表示的,其无序导数的大小似乎在热力学极限中有所不同。我们还研究了纠缠谱作为障碍函数的水平统计。但是,与纠缠熵导数中剧烈的相变信号不同,我们发现仅在安德森绝缘相深处会逐渐减小液位推斥力。

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  • 来源
    《Physical review letters》 |2016年第20期|206801.1-206801.6|共6页
  • 作者

    Liu Zhao; Bhatt R. N.;

  • 作者单位

    Free Univ Berlin, Dahlem Ctr Complex Quantum Syst, Arnimallee 14, D-14195 Berlin, Germany|Free Univ Berlin, Inst Theoret Phys, Arnimallee 14, D-14195 Berlin, Germany|Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA;

    Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA;

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