Distinguishing localization from chaos: Challenges in finite-size systems
Distinguishing localization from chaos: Challenges in finite-size systems
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DOI：
10.1016/j.aop.2021.168415
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发表时间：
2021-02-22
影响因子：
3
通讯作者：
Vasseur, R.
中科院分区：
文献类型：
--
作者：
Abanin, D. A.;Bardarson, J. H.;Vasseur, R.
我们重新审视尝试研究多体本地化过渡的措施，是物理上自然的遍历/量子混沌制度的相图。使用简单的缩放参数和分析的各种模型，严格的结果是可用的，我们发现，这些措施可以特别不利的影响，在几乎所有的数值研究中观察到的强有限尺寸效应的多体本地化。这严重影响了它们在探测跃迁和局部化相方面的效用。根据这一分析，我们讨论了最近的一项研究（？untajs等人，2020）的无序自旋中的无扰能量和能级排斥行为
We re-examine attempts to study the many-body localization transition using measures that are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using simple scaling arguments and an analysis of various models for which rigorous results are available, we find that these measures can be particularly adversely affected by the strong finite-size effects observed in nearly all numerical studies of many-body localization. This severely impacts their utility in probing the transition and the localized phase. In light of this analysis, we discuss a recent study (?untajs et al., 2020) of the behaviour of the Thouless energy and level repulsion in disordered spin