Effective field theory approach to many-body localization
arXiv:1609.00877 · doi:10.1103/PhysRevLett.118.127202
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.
arXiv comment4 pages, 1 figure, supplementary material
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