Open AccessFREE-FERMION APPROXIMATE SOLUSION OF THE ISING MODEL ON UNION JACK LATTICE
Author(s) -
Fugao Wang,
Hu Jia-Zhen
Publication year - 1993
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.42.853
Subject(s) - ising model , physics , condensed matter physics , lattice (music) , fermion , anisotropy , square lattice ising model , square lattice , magnetization , quantum mechanics , magnetic field , acoustics
In this paper,the Ising model with two-body anisotropic interactions and three-body interactions on union Jack lattice is solved by free-fermion approximation. We have obtained its free energy, spontaneous magnetisation and the equation of critical points. When the interaction coefficients are simplified as in a square lattice Ising model, the same solusion as Onsager's is obtained.