The XY-model with $Z_2$ Symmetry: Finite-size scaling analysis using the Broad Histogram Method

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dc.creatorMunoz, J. D.
dc.creatorLima, A. R.
dc.date2001-01-19
dc.date.accessioned2026-07-07T02:40:08Z
dc.date.available2026-07-07T02:40:08Z
dc.descriptionIn this work we investigate the classical ferromagnetic XY-model in two dimensions subject to a symmetry breaking field which impose a $Z_2$ symmetry to the system. We used the broad histogram method combined with microcanonical simulations and finite-size scaling analysis to estimate the critical temperature and critical exponents of this system with little computational effort. In addition, we present a general procedure which makes possible to use the broad histogram method for continuous systems, also when the macroscopic quantities needed by the method cannot be obtained analytically. Our results are robust under the choice of four different pseudo-random number generators.
dc.descriptionText (11 pages), 21 figures, Submitted to PRB
dc.identifierhttps://arxiv.org/abs/cond-mat/0101308
dc.identifierhttp://arxiv.org/abs/cond-mat/0101308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17275
dc.subjectStatistical Mechanics
dc.titleThe XY-model with $Z_2$ Symmetry: Finite-size scaling analysis using the Broad Histogram Method
dc.typetext

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