Level statistics of XXZ spin chains with discrete symmetries: Analysis through finite-size effects

Kazue Kudo, Tetsuo Deguchi

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)

Abstract

Level statistics is discussed for XXZ spin chains with discrete symmetries for some values of the next-nearest-neighbor (NNN) coupling parameter. We show how the level statistics of the finite-size systems depends on the NNN coupling and the XXZ anisotropy, which should reflect competition among quantum chaos, integrability and finite-size effects. Here discrete symmetries play a central role in our analysis. Evaluating the level-spacing distribution, the spectral rigidity and the number variance, we confirm the correspondence between non-integrability and Wigner behavior in the spectrum. We also show that non-Wigner behavior appears due to mixed symmetries and finite-size effects in some nonintegrable cases.

Original languageEnglish
Pages (from-to)1992-2000
Number of pages9
Journaljournal of the physical society of japan
Volume74
Issue number7
DOIs
Publication statusPublished - 2005 Jul
Externally publishedYes

Keywords

  • Discrete symmetries
  • Finite-size effects
  • Level statistics
  • XXZ spin chains

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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