Many-body localization phase transition

Arijeet Pal, David A. Huse

Research output: Contribution to journalArticle

710 Scopus citations

Abstract

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at infinite temperature. For weak random field the eigenstates are thermal, as expected in this nonlocalized, "ergodic" phase. For strong random field the eigenstates are localized with only short-range entanglement. We roughly locate the localization transition and examine some of its finite-size scaling, finding that this quantum phase transition at nonzero temperature might be showing infinite-randomness scaling with a dynamic critical exponent z→.

Original languageEnglish (US)
Article number174411
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume82
Issue number17
DOIs
StatePublished - Nov 9 2010

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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