Low-Temperature Behavior of Antiferromagnetic Ising Model on Triangular Lattice

Abstract

We derive low-temperature expansions of the internal energy, the specific heat and so on for the antiferromagnetic Ising model on a triangular lattice by using the expression obtained by Stephenson. We propose to use ΔT=exp (−2βJ) as the reduced temperature variable near the critical temperature. We then conclude the values of the critical exponents α, ν, γ, δ and Δ as α=0, ν=1, γ=3⁄2, δ=7 and Δ=7⁄4.