Localization of interacting fermions at high temperature

Vadim Oganesyan, David A. Huse

Research output: Contribution to journalArticle

684 Scopus citations

Abstract

We suggest that if a localized phase at nonzero temperature T>0 exists for strongly disordered and weakly interacting electrons, as recently argued, it will also occur when both disorder and interactions are strong and T is very high. We show that in this high- T regime, the localization transition may be studied numerically through exact diagonalization of small systems. We obtain spectra for one-dimensional lattice models of interacting spinless fermions in a random potential. As expected, the spectral statistics of finite-size samples cross over from those of orthogonal random matrices in the diffusive regime at weak random potential to Poisson statistics in the localized regime at strong randomness. However, these data show deviations from simple one-parameter finite-size scaling: the apparent mobility edge "drifts" as the system's size is increased. Based on spectral statistics alone, we have thus been unable to make a strong numerical case for the presence of a many-body localized phase at nonzero T.

Original languageEnglish (US)
Article number155111
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume75
Issue number15
DOIs
StatePublished - Apr 23 2007

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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