Level statistics of XXZ spin chains with a random magnetic field

Kazue Kudo, Tetsuo Deguchi

研究成果: Article査読

20 被引用数 (Scopus)

抄録

The level-spacing distribution of a spin-1/2 XXZ chain is numerically studied under random magnetic field. We show explicitly how the level statistics depends on the lattice size L, the anisotropy parameter Δ, and the mean amplitude of the random magnetic field h. In the energy spectrum, quantum integrability competes with nonintegrability derived from the randomness, where the XXZ interaction is modified by the parameter Δ. When Δ ≠ 0, the level-spacing distribution mostly shows Wigner-like behavior, while when Δ = 0, Poisson-like behavior appears although the system is nonintegrable due to randomness. Poisson-like behavior also appears for Δ ≠ 0 in the large h limit. Furthermore, the level-spacing distribution depends on the lattice size L, particularly when the random field is weak.

本文言語English
論文番号132404
ページ(範囲)132404-1-132404-4
ジャーナルPhysical Review B - Condensed Matter and Materials Physics
69
13
DOI
出版ステータスPublished - 2004 4
外部発表はい

ASJC Scopus subject areas

  • 電子材料、光学材料、および磁性材料
  • 凝縮系物理学

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