Thouless Time Analysis of Anderson and Many-Body Localization Transitions.

Thouless Time Analysis of Anderson and Many-Body Localization Transitions.
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安德森和多体定位转变的无限时间分析。

DOI:
10.1103/physrevlett.124.186601
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发表时间:
2019
影响因子:
8.6
通讯作者:
J. Zakrzewski
J. Zakrzewski
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
P. Sierant;D. Delande;J. Zakrzewski

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无序系统的谱统计编码了 Thouless 和 Heisenberg 时间尺度,其比率决定了系统是混沌的还是局域的。我们证明,在单体安德森模型和无序量子多体系统中,Thouless 时间随系统大小和无序强度的变化非常相似。我们认为,两个参数缩放在过渡到局部阶段附近会分解,表明动力学减慢。
Spectral statistics of disordered systems encode Thouless and Heisenberg timescales, whose ratio determines whether the system is chaotic or localized. We show that the scaling of the Thouless time with the system size and disorder strength is very similar in one-body Anderson models and in disordered quantum many-body systems. We argue that the two parameter scaling breaks down in the vicinity of the transition to the localized phase, signaling a slowing-down of dynamics.
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