Avalanche induced coexisting localized and thermal regions in disordered chains

P. Crowley, A. Chandran
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引用次数: 37

Abstract

We investigate the stability of an Anderson localised chain to the inclusion of a single finite interacting thermal seed. This system models the effects of rare low-disorder regions on many-body localised chains. Above a threshold value of the mean localisation length, the seed causes runaway thermalisation in which a finite fraction of the orbitals are absorbed into a thermal bubble. This `partially avalanched' regime provides a simple example of a delocalised, non-ergodic dynamical phase. We derive the hierarchy of length scales necessary for typical samples to exhibit the avalanche stability, and show that the required seed size diverges at the avalanche threshold. We introduce a new dimensionless statistic that measures the effective size of the thermal bubble, and use it to numerically confirm the predictions of avalanche theory in the Anderson chain at infinite temperature.
雪崩诱导无序链中局部区和热区共存
我们研究了安德森局域链包含一个有限相互作用热种子的稳定性。该系统模拟了罕见的低无序区域对多体局部链的影响。超过平均局域长度的阈值,种子会导致失控的热化,其中有限部分的轨道被吸收到热泡中。这种“部分雪崩”状态提供了一个离域的、非遍历的动力阶段的简单例子。我们推导了典型样本显示雪崩稳定性所需的长度尺度层次,并表明所需的种子大小在雪崩阈值处发散。我们引入了一种新的无因次统计量来测量热泡的有效尺寸,并用它来数值验证无限温度下安德森链中雪崩理论的预测。
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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