Level Statistics of XXZ Spin Chains with Discrete Symmetries : Analysis through Finite-size Effects

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Author(s)

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.

Journal

  • Journal of the Physical Society of Japan

    Journal of the Physical Society of Japan 74(7), 1992-2000, 2005-07-15

    The Physical Society of Japan (JPS)

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Codes

  • NII Article ID (NAID)
    110001979656
  • NII NACSIS-CAT ID (NCID)
    AA00704814
  • Text Lang
    ENG
  • Article Type
    SHO
  • ISSN
    00319015
  • NDL Article ID
    7357015
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A404
  • Data Source
    CJP  NDL  NII-ELS 
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