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arXiv · 1609.00877

Effective field theory approach to many-body localization

Alexander Altland·Tobias Micklitz
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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.

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Alexander Altland, Tobias Micklitz. 2016-09-03. Effective field theory approach to many-body localization. https://doi.org/10.1103/physrevlett.118.127202

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