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      Monte Carlo study of the Villain version of the fully frustrated XY model

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          Abstract

          The fully frustrated XY model with Villain interaction on a square lattice is studied by means of Monte Carlo simulations. On the basis of the universal jump condition it is argued that there are two distinct transitions in the model, corresponding to the loss of XY order and Z_2 order, respectively. The Kosterlitz-Thouless (KT) transition is analyzed by finite size scaling of the helicity modulus at lattices of size L = 32 through 128, giving T_KT = 0.8108(1). The vorticity-vorticity correlation function is used to determine two different characteristic lengths, the Z_2 correlation length \xi, and the screening length \lambda, associated with the KT transition and free vortices. The temperature dependence of \xi is examined in order to determine T_c and the correlation length exponent, \nu. The exponent is found to be consistent with the 2D Ising value, \nu = 1, and the obtained critical temperature is T_c = 0.8225(5). The determinations of both \xi and \nu are done carefully, first applying the techniques to the 2D Ising model, which serves as a convenient testing ground.

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          Nature of the Phase Transition of the Two-Dimensional Antiferromagnetic Plane Rotator Model on the Triangular Lattice

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            Monte Carlo determination of the critical temperature for the two-dimensionalXYmodel

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              Symmetry analysis and Monte Carlo study of a frustrated antiferromagnetic planar (XY) model in two dimensions

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                Author and article information

                Journal
                1996-09-19
                Article
                10.1103/PhysRevB.55.3585
                cond-mat/9609181
                1f56cf88-1354-4d62-80e2-25ca747d79ef
                History
                Custom metadata
                56 pages, 31 sub-figures, submitted to Phys Rev B
                cond-mat

                Condensed matter
                Condensed matter

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