The classical two-dimensional XY model with in-plane magnetic field

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Abstract
The authors present analytical and numerical simulation studies on the two-dimensional XY classical ferromagnetic model with weak in-plane magnetic field (the reduced field is h=0.05 and it is applied along the x axis). The structure and dynamics of vortex spin configurations are considered. The simulation data show a strong crossover at Tc approximately=1.0 JS2; the data for Tor=Tc can be interpreted by vortex gas theory. The in-plane data can be compared to recent experiments performed on CoCl2-intercalated into graphite. The Szz(q, omega ) shows unusual behaviour as T is increased to T>or=1.2 JS2 indicating that another phase transition or crossover, related to the out-of-plane spin component, can occur.