On the problem of many-body localization

Abstract

We review recent progress in the study of transport properties of interacting electrons subject to a disordered potential which is strong enough to localize all single-particle states. This review may also serve as a guide to the recent paper by the authors [Annals of Physics (2006), in press]. Here we skip most of the technical details and make an attempt to discuss the physical grounds of the final-temperature metal-insulator transition described in the above-mentioned paper.

contribution to the book "Problems of condensed matter physics"

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• Observation of a dynamical sliding phase superfluid with P-band bosons
• Chaos in fermionic many-body systems and the metal-insulator transition
• Stripe structures in phase separated magnetic oxides
• A journey into localization, integrability and thermalization