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Phase Transition in the $2\mathrmD~\mathrmXY$ Model

Physical Review Letters, Vol. 61, No. 17. (Oct 1988), pp. 1996-1999, doi:10.1103/physrevlett.61.1996  Key: citeulike:4472184

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Abstract

We present detailed results for the susceptibility Ï, correlation length Î¾, and specific heat cÎ½ for the XY model. The best fit to Ï and Î¾ data is obtained by use of the Kosterlitz-Thouless scaling form with Î½=0.500(1), but Î· shows considerable deviation from Â¼ down to T=1.03. The critical temperature is estimated to be Tc=0.898(2). The simulations are done on 642, 1282, 2562, and 5122 lattices with use of an overrelaxed algorithm which decorrelates as Ïâ0.15Î¾1.2. Similar reduction in critical slowing down is anticipated for all continuous-spin models.

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