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

Extrapolations of high-field and high-temperature series expansions have been used to construct numerical approximations to the density of zeros g(θ) 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 |θ|<θ_G and then varies as (θ-θ_G)^μ, with μ~=-0.1 and +0.1 for the square and diamond lattices, respectively.