Yet another way to obtain low temperature expansions for discrete spin systems

TL;DR

This paper introduces a modified shadow-lattice method to derive high-order low-temperature series expansions for discrete spin models, providing detailed results for several models including 3D and 4D Ising and 3D Potts models.

Contribution

A novel modification of the shadow-lattice technique enabling high-order low-temperature series expansions for various discrete spin systems.

Findings

High-order series for 3D Ising up to 64 excited bonds

High-order series for 4D Ising up to 96 excited bonds

High-order series for 3D Potts up to 56 excited bonds

Abstract

I present a modification of the shadow-lattice technique, which allows one to derive low temperature series for discrete spin models to high orders. Results are given for the 3-d Ising model up to 64 excited bonds, for the 4-d Ising model up to 96 excited bonds and the 3-d Potts model up to 56 excited bonds.