Describing the level statistics along many-body localization transition by short-range plasma model

被引：2

作者：

Ni, Wei-Bin ^{[1
]}

Rao, Wen-Jia ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310027, Peoples R China

来源：

PHYSICS LETTERS A | 2021年 / 420卷 / 420期

基金：

中国国家自然科学基金;

关键词：

Many-body localization; High-order level spacing distributions; Short-range plasma model; Effective critical model; DISORDERED-SYSTEMS; SPECTRA;

D O I：

10.1016/j.physleta.2021.127747

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the level spacing distributions across the many-body localization (MBL) transition in random spin systems, and compare them to the short-range plasma model (SRPM) with interaction range k and inverse temperature beta. It is found the level statistics within the ergodic phase fits well into SRPM, with the interaction range k decreases as randomness strength grows. Particularly, SRPM with only nearest level interactions (k = 1) fits well with the physical data at the ergodic-MBL transition point identified by the inter-sample randomness, suggesting the former is the effective critical model with beta = 1(2) for time-reversal invariant (broken) systems. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：6

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