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

M E Gouvea, F G Mertens, A R Bishop and G M Wysin

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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 T<Tc are well interpreted by one- and two-spin wave processes with an additional anomalous central peak at Sxx(q, omega ) structure function which is suggested as a contribution from domain walls. The data for T>or=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.


PACS

75.10.Hk Classical spin models

75.30.Ds Spin waves

75.60.Ch Domain walls and domain structure

75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)

75.40.Gb Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)

Subjects

Condensed matter: electrical, magnetic and optical

Dates

Issue 7 (19 February 1990)



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