Absence of Many-Body Localization in a Single Landau Level

S. Geraedts, R. Bhatt
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引用次数: 6

Abstract

The dynamics of the highly excited states of a system projected into a single Landau level are analyzed. An analysis of level spacing ratios for finite size systems shows a clear crossover from extend (GUE) to localized (Poisson) statistics, indicating a many body localization transition. However, the location of this transition depends very strongly on system size, and appears to scale to infinite disorder in the thermodynamic limit. This result does not depend on the properties of the ground state (such as whether the ground state exhibits topological order), as expected for a transition of highly-excited eigenstates. We therefore conclude that many body localization does not exist in these systems. Our results demonstrate that a sub-thermodynamic number of single particle effectively extended states is sufficient to cause all many body states to become extended.
在单个朗道关卡中缺少多体定位
分析了系统高激发态投射到单个朗道能级的动力学。对有限大小系统的水平间距比的分析显示了从扩展(GUE)到局部(泊松)统计的明显交叉,表明了多体局部化过渡。然而,这种转变的位置在很大程度上取决于系统的大小,并且在热力学极限下表现为无限无序。这个结果不依赖于基态的性质(比如基态是否表现出拓扑秩序),正如高激发本征态跃迁所期望的那样。因此,我们得出结论,在这些系统中不存在许多身体定位。我们的结果表明,单个粒子有效扩展状态的亚热力学数量足以导致所有许多物体状态都扩展。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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