Low-Temperature Series for Ising Model by Finite-Lattice Method

TL;DR

This paper computes high-order low-temperature series expansions for the 3D Ising model's correlation function and the ASOS model's free energy using the finite-lattice method, advancing analytical understanding.

Contribution

It provides detailed series expansions for the 3D Ising model and ASOS model, extending previous calculations to higher orders with the finite-lattice method.

Findings

Calculated the second moment of the correlation function to order u^{26}

Derived the free energy of the ASOS model to order u^{23}

Enhanced the precision of low-temperature series expansions

Abstract

We have calculated the low-temperature series for the second moment of the correlation function in $d=3$ Ising model to order $u^{26}$ and for the free energy of Absolute Value Solid-on-Solid (ASOS) model to order $u^{23}$, using the finite-lattice method.