Critical indices for the two-dimensional Ising model with nearest-neighbor and next-nearest-neighbor interactions. II. Strip cluster approximation

Kazuyuki Tanaka, Tsuyoshi Horiguchi, Tohru Morita

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The spin-pair correlation functions are calculated for the Ising model with nearest-neighbor interaction J>0 and next-nearest-neighbor interaction J′ on the square lattice in terms of three approximations of the simplified cluster variation method with strip clusters as the basic clusters. The critical indices λ, ν and ην are estimated from the obtained spin-pair correlation functions with the aid of the coherent-anomaly method. For J′/J < -0.5, we confirm that the system belongs to the Onsager universality class in the sense of the weak universality hypothesis.

Original languageEnglish
Pages (from-to)647-664
Number of pages18
JournalPhysica A: Statistical Mechanics and its Applications
Volume192
Issue number4
DOIs
Publication statusPublished - 1993 Feb 1

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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