The Ising Susceptibility Scaling Function

TL;DR

This paper extends the susceptibility series for the Ising model on various lattices and computes terms in the scaling function expansion near critical points, enhancing understanding of phase transitions.

Contribution

It provides extended susceptibility series and new scaling function expansion terms for the Ising model on multiple lattices, including ferromagnetic and antiferromagnetic critical points.

Findings

Extended susceptibility series for triangular, honeycomb, and square lattices.

Calculated new terms in the scaling function expansion near critical points.

Improved understanding of Ising model critical behavior.

Abstract

We have dramatically extended the zero field susceptibility series at both high and low temperature of the Ising model on the triangular and honeycomb lattices, and used these data and newly available further terms for the square lattice to calculate a number of terms in the scaling function expansion around both the ferromagnetic and, for the square and honeycomb lattices, the antiferromagnetic critical point.