Specific Heat Exponent for the 3-d Ising Model from a 24-th Order High Temperature Series

TL;DR

This paper extends high temperature series for the 3-d Ising model to 24th order, enabling precise estimation of the specific heat critical exponent alpha as approximately 0.104.

Contribution

The authors computed a 24th order high temperature series for the 3-d Ising model, providing a more accurate estimate of the critical exponent.

Findings

Critical exponent alpha = 0.104(4)

Extended series to 24th order

Used ID-Pade and ratio methods

Abstract

We compute high temperature expansions of the 3-d Ising model using a recursive transfer-matrix algorithm and extend the expansion of the free energy to 24th order. Using ID-Pade and ratio methods, we extract the critical exponent of the specific heat to be alpha=0.104(4).