Universal spectral form factor for many-body localization
Disordered Systems and Neural Networks
2021-03-03 v3 Statistical Mechanics
Strongly Correlated Electrons
High Energy Physics - Theory
Abstract
We theoretically study correlations present deep in the spectrum of many-body-localized systems. An exact analytical expression for the spectral form factor of Poisson spectra can be obtained and is shown to agree well with numerical results on two models exhibiting many-body-localization: a disordered quantum spin chain and a phenomenological -bit model based on the existence of local integrals of motion. We also identify a universal regime that is insensitive to the global density of states as well as spectral edge effects.
Cite
@article{arxiv.2008.07547,
title = {Universal spectral form factor for many-body localization},
author = {Abhishodh Prakash and J. H. Pixley and Manas Kulkarni},
journal= {arXiv preprint arXiv:2008.07547},
year = {2021}
}
Comments
(6+15) pages, (3+13) figures; close to published version