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

Hiroshi Takano, Masuo Suzuki

Research output: Contribution to journalArticle

69 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)635-663
Number of pages29
JournalJournal of Statistical Physics
Volume26
Issue number4
DOIs
Publication statusPublished - 1981 Dec
Externally publishedYes

Fingerprint

Heisenberg Model
Renormalization Group
Approximation
approximation
Quantum Spin System
Decimation
XY Model
Critical Behavior
Renormalization
Valid
Model

Keywords

  • decimations
  • Migdal-Kadanoff renormalization transformations
  • Spin-1/2 anisotropic Heisenberg model
  • two-dimensional spin-1/2 X-Y model

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Migdal-Kadanoff renormalization group approach to the spin-1/2 anisotropic Heisenberg model. / Takano, Hiroshi; Suzuki, Masuo.

In: Journal of Statistical Physics, Vol. 26, No. 4, 12.1981, p. 635-663.

Research output: Contribution to journalArticle

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