Migdal-Kadanoff renormalization group approach to the spin-1/2 anisotropic Heisenberg model

Hiroshi Takano, Masuo Suzuki

研究成果: Article査読

70 被引用数 (Scopus)

抄録

The spin-1/2 anisotropic Heisenberg model is studied by generalizing the Migdal-Kadanoff renormalization transformations to quantum spin systems. An approximate one-dimensional decimation is employed besides the potential-moving approximation in this generalization. It is shown that these approximations are valid at high temperatures. The results obtained from these approximations suggest that the two-dimensional spin-1/2 X-Y model shows the critical behavior similar to that expected for the classical X-Y and planar models.

本文言語English
ページ(範囲)635-663
ページ数29
ジャーナルJournal of Statistical Physics
26
4
DOI
出版ステータスPublished - 1981 12 1
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

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