Critical behavior of the two-dimensional fully frustrated XY model

• DOI: 10.1007/s12648-012-0021-6
• Publication Date: 2012-03-16T11:40:19Z
• Authors: X. Y. Zhao; X. W. Lei
• Keywords: Ansatz; Classical XY model; Exponent; Kosterlitz–Thouless transition

Critical behavior of the two-dimensional fully frustrated XY model has been investigated with Monte Carlo methods. Based on the dynamic scaling ansatz of the magnetization for temperatures above the transition temperature, the correlating time, spatial correlation length has been extracted. Fitting the correlation length to the exponential singularity assumed for the Kosterlitz–Thouless (KT) transition, the transition temperature TKT and the static exponent ν have been determined. The TKT = 0.45065(3) is one percent or two higher than that estimated from simulations in equilibrium. Moreover, the exponent ν = 0.089(2) is smaller than the theoretical value 0.5.