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Monte Carlo simulations of the classical two-dimensional discrete frustrated model
The classical two-dimensional discrete frustrated model is studied
by Monte Carlo simulations. The correlation function is obtained for two values
of a parameter that determines the frustration in the model. The ground
state is a ferro-phase for and a commensurate phase with period N=6
for . Mean field predicts that at higher temperature the system enters
a para-phase via an incommensurate state, in both cases. Monte Carlo data for
show two phase transitions with a floating-incommensurate phase
between them. The phase transition at higher temperature is of the
Kosterlitz-Thouless type. Analysis of the data for shows only a
single phase transition between the floating-fluid phase and the ferro-phase
within the numerical error.Comment: 5 figures, submitted to the European Physical Journal
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