Abstract

We apply our Monte Carlo twist method to the antiferromagnetic Ising model on square lattices in several uniform fields imposing fixed boundary conditions. We have estimated the critical temperature T c and critical exponent ν at each field. The former well agree with the analytic results of Müller-Hartmann and Zittartz, and the latter are all close to ν=1. We have calculated the finite-size critical-point amplitude of the interfacial free energy Ξ 0 which is believed to be universal. Our estimate of Ξ 0 at zero field is in good agreement with the analytic result of Abraham and Švrakić. We also report for the first time estimates of Ξ 0 at finite fields. Further, comparison is made with results of Mon and Jasnow.

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