Effective field theory approach to many-body localization
Disordered Systems and Neural Networks
2017-03-29 v1
Abstract
We construct an analytic theory of many-body localization (MBL) in random spin chains. The approach is based on a first quantized perspective in which MBL is understood as a localization phenomenon on the high dimensional lattice defined by the discrete Hilbert space of the clean system. We construct a field theory on that lattice and apply it to discuss the stability of a weak disorder (`Wigner-Dyson') and a strong disorder (`Poisson') phase.
Cite
@article{arxiv.1609.00877,
title = {Effective field theory approach to many-body localization},
author = {Alexander Altland and Tobias Micklitz},
journal= {arXiv preprint arXiv:1609.00877},
year = {2017}
}
Comments
4 pages, 1 figure, supplementary material