On the problem of many-body localization

B. L. Altshuler; D. M. Basko; I. L. Aleiner

On the problem of many-body localization

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arxiv cond-mat/0602510 v1 pith:ZKGEUZIU submitted 2006-02-22 cond-mat.mes-hall

On the problem of many-body localization

D. M. Basko , I. L. Aleiner , B. L. Altshuler This is my paper

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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.

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For a spectrum that is a statistical mixture of independent symmetry sectors, the correlated remainder after removing Poisson-distributed gaps has expected size equal to the size-biased average of the sector dimensions.