Open AccessPOUR-BRANCH CRITICAL SURFACE AND CORRESPONDING CRITICAL BEHAVIOUR FOR ISING MODEL
Author(s) -
Tang Kun-Fa,
Hu Jia-Zhen
Publication year - 1988
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.37.515
Subject(s) - ising model , antiferromagnetism , universality (dynamical systems) , ferromagnetism , renormalization group , physics , critical exponent , critical phenomena , phase transition , surface (topology) , transformation (genetics) , square lattice ising model , mathematical physics , condensed matter physics , statistical physics , mathematics , geometry , chemistry , gene , biochemistry
Application of exact renormalisation transformation, to Ising model via equiscale transformation in the same universality class, yields a four-branch critical surface and four fixed points. In the case of the ferromagnetic and antiferromagnetic phase transitions, the results are in agreement with the known exact and the best approximate ones very satifatorily. For the supperantiferromagnetic phase transition, we propose the critical surface equation as follows —ch(h) = sh(2Kx)sh(2Ky).