Finite-size scaling with respect to interaction and disorder strength at the many-body localization transition

Kazue Kudo, Tetsuo Deguchi

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

We present a finite-size scaling for both interaction and disorder strengths in the critical regime of the many-body localization (MBL) transition for a spin-1/2XXZ spin chain with a random field by studying level statistics. We show how the dynamical transition from the thermal to MBL phase depends on interaction together with disorder by evaluating the ratio of adjacent level spacings, and thus, extend previous studies in which interaction coupling is fixed. We introduce an extra critical exponent in order to describe the nontrivial interaction dependence of the MBL transition. It is characterized by the ratio of the disorder strength to the power of the interaction coupling with respect to the extra critical exponent and not by the simple ratio between them.

Original languageEnglish
Article number220201
JournalPhysical Review B
Volume97
Issue number22
DOIs
Publication statusPublished - 2018 Jun 5
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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