Correlated cluster mean-field theory for spin systems

Daisuke Yamamoto*

*この研究の対応する著者

研究成果: Article査読

50 被引用数 (Scopus)

抄録

A cluster mean-field method is introduced and the applications to the Ising and Heisenberg models are demonstrated. We divide the lattice sites into clusters whose size and shape are selected so that the equivalence of all sites in a cluster is preserved. Since the strength of interactions of a cluster with its surrounding clusters is strongly dependent on the spin configuration of the central cluster itself, we include this contribution in the effective fields acting on the spins. The effects of "correlations" between clusters can be taken into account beyond the standard mean-field level and as a result our cluster-based method gives qualitatively (and even quantitatively) correct results for the both Ising and Heisenberg models. Especially, for the Ising model on the honeycomb and square lattices, the calculated results of the critical temperature are very close (overestimated by only less than 5%) to the exact values.

本文言語English
論文番号144427
ジャーナルPhysical Review B - Condensed Matter and Materials Physics
79
14
DOI
出版ステータスPublished - 2009 4 1

ASJC Scopus subject areas

  • 凝縮系物理学
  • 電子材料、光学材料、および磁性材料

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