Density of Zeros on the Lee-Yang Circle for Two Ising Ferromagnets

Abstract

Extrapolations of high-field and high-temperature series expansions have been used to construct numerical approximations to the density of zeros $g\left(\theta \right)$ on the Lee-Yang circle for the Ising ferromagnets on a two-dimensional square and a three-dimensional diamond lattice. For temperatures above the critical temperature the density is zero for $\left|\theta \right|<\mathrm{}{\theta }_G$ and then varies as ${(\theta -{\theta }_G)}^{\mu }$, with $\mu \simeq -0.1\mathrm{} \mathrm{and} +0.1\mathrm{}$ for the square and diamond lattices, respectively.