Branches in the spectral flow of the inhomogeneous transfer matrix for the XXZ spin chain

Kazue Kudo, Tetsuo Deguchi

研究成果: Article査読

1 被引用数 (Scopus)

抄録

Branches such as bifurcations or multiple branches are observed in the flow of eigenvalues for the inhomogeneous transfer matrix of the XXZ spin chain. The spectral flow for the XXZ anisotropic parameter Δ is obtained by directly diagonalizing the transfer matrix in the regime: -1 ≤ Δ ≤ 1, where the inhomogeneous transfer matrix is real and symmetric. The branches are considered as novel spectral behaviors, which are not decomposed into simple superpositions of level crossings. We may call them level bifurcations. We also observe that no branches appear in the homogeneous case. The appearance of some of the branches are confirmed through the Bethe ansatz method.

本文言語English
ページ(範囲)1599-1602
ページ数4
ジャーナルjournal of the physical society of japan
72
7
DOI
出版ステータスPublished - 2003 7
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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