Derivation of low-temperature expansions for Ising model. IV. Two-dimensional lattices-temperature grouping

Abstract

The derivation of series expansions appropriate for low temperatures or high applied magnetic fields for the two‐dimensional Ising model of a ferromagnet and antiferromagnet is studied as a temperature grouping. New results are given for the ferromagnetic polynomials for the triangular lattice to order 16, for the ferromagnetic and antiferromagnetic polynomials for the simple quadratic lattice to order 11, and for the honeycomb lattice to order 16.