Glassy states in fermionic systems with strong disorder and interactions

David J. Schwab, Sudip Chakravarty

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We study the competition between interactions and disorder in two dimensions. Whereas a noninteracting system is always Anderson localized by disorder in two dimensions, a pure system can develop a Mott gap for sufficiently strong interactions. Within a simple model, with short-ranged repulsive interactions, we show that, even in the limit of strong interaction, the Mott gap is completely washed out by disorder for an infinite system for dimensions D≤2, leading to a glassy state. Moreover, the Mott insulator cannot maintain a broken symmetry in the presence of disorder. We then show that the probability of a nonzero gap as a function of system size falls onto a universal curve, reflecting the glassy dynamics. An analytic calculation is also presented in one dimension that provides further insight into the nature of slow dynamics.

Original languageEnglish (US)
Article number125102
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume79
Issue number12
DOIs
StatePublished - Mar 3 2009

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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