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Название: The XY Model and the Three-State Antiferromagnetic Potts Model in Three Dimensions: Critical Properties from Fluctuating Boundary Conditions
Авторы: Gottlob A.P., Hasenbusch M.
We present the results of a Monte Carlo study of the three-dimensional XY model and the three-dimensional antiferromagnetic three-state Potts model. In both cases we compute the difference of the free energies of a system with periodic and a system with antiperiodic boundary conditions in a neighborhood of the critical coupling. From the finite-size scaling behaviour of this quantity we extract values for the critical temperature and the critical exponent v that are compatible with recent high-statistics Monte Carlo studies of the models. The results for the free energy difference at the critical temperature and for the exponent v confirm that both models belong to the same universality class.