Conductivity of disordered quantum lattice models at infinite temperature: Many-body localization

Abstract

We reinvestigate the behavior of the conductivity of several disordered quantum lattice models at infinite temperature using exact diagonalization. Contrary to the conclusion drawn in a recent investigation of similar quantities in identical systems, we find evidence of a localized regime for strong random fields. We estimate the location of the critical field for the many-body localization transition for the random-field XXZ spin chain, and compare our findings with recent investigations in related systems.

5 pages, 4 figures. Accepted for publication in Phys. Rev. B

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