Derivation of low-temperature series expansions for the Ising model with triplet interactions on the plane triangular lattice

Publisher Website
Google Scholar
Abstract
The derivation of low-temperature (high-field) series expansions for the Ising model with pure triplet interactions on the plane triangular lattice is described. Euler's law of the edges is used to transform the linkage rule into a form convenient for the derivation of ferromagnetic polynomials. Explicit results are given for the ferromagnetic polynomials corresponding to the first twelve powers of the temperature variable (u3) both as functions of the field variable ( mu ) and, in zero field, as functions of the temperature variable (u2) of the simple Ising model.