Abstract

The authors study spectral correlations in the many-body-localized phase by computing the spectral form factor for which they obtain an expression and postulate the presence of a universal power-law scaling regime.

Highlights

  • We theoretically study correlations present deep in the spectrum of many-body-localized systems

  • In this Letter, we have derived an exact expression for the spectral form factor of Poisson levels and identified a universal regime

  • We have shown that this describes the spectral form factor (SFF) in the many body localized phase well through a detailed comparison with numerical results on two separate physical models

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Summary

Introduction

We theoretically study correlations present deep in the spectrum of many-body-localized systems. Is the bandwidth of the selected eigenvalues with mean level spacing μ, the early τ behavior (τ is largely determined by the Poisson density of states (DOS) [33] which is

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