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

Hiroshi Takano, Masuo Suzuki

Research output: Contribution to journalArticlepeer-review

73 Citations (Scopus)


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
Issue number4
Publication statusPublished - 1981 Dec 1
Externally publishedYes


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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


Dive into the research topics of 'Migdal-Kadanoff renormalization group approach to the spin-1/2 anisotropic Heisenberg model'. Together they form a unique fingerprint.

Cite this