High Temperature Series Expansions of Susceptibility on the Layered Frustration Models

Abstract

We calculated coefficients in the high temperature series expansions of susceptibility of the Ising models on several square lattices which have the periodically distributed frustrations. Using these series expansions, we obtained the transition temperatures and the critical exponents by the ratio method. We could confirm the relation between critical temperature and the frustration. The same method was also applied to several three dimensional lattices which have the regularly distributed frustration.