Open AccessAN APPROXIMATE SOLUTION FOR SQUARE-LATTICE SPIN-1 MODEL
Author(s) -
Qing Ye
Publication year - 1989
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.38.1187
Subject(s) - square lattice , ising model , decimation , checkerboard , lattice (music) , physics , square (algebra) , square lattice ising model , condensed matter physics , spin (aerodynamics) , statistical physics , limit (mathematics) , exact solutions in general relativity , quantum mechanics , mathematics , computer science , mathematical analysis , thermodynamics , bandwidth (computing) , acoustics , computer network , geometry
In this paper, we apply the decoration and decimation transformation to the square-lattice spin-1 model and show that it is equivalent toa checkerboard Ising model with cross and four-spin interactions. Then, the approximate critical condition is obtained for the model and it reduces to Onsager's exact solution in the Ising-model limit.