Nonequilibrium multicritical behavior in anisotropic Heisenberg ferromagnet driven by oscillating magnetic field

Details Nonequilibrium multicritical behavior in anisotropic Heisenberg ferromagnet driven by oscillating magnetic field Nonequilibrium multicritical behavior in anisotropic Heisenberg ferromagnet driven by oscillating magnetic field

2005-08-03

arxiv.org/abs/cond-mat/0508103v2

International Journal of Modern Physics C 17 (2006) 1107

Physics

Condensed Matter

Statistical Mechanics

14 Pages Latex, 17 Postscript figures. To appear in Int. J. Mod. Phys. C (2006) May

Scientific paper

10.1142/S0129183106009060

The Heisenberg ferromagnet (uniaxially anisotropic along z-direction), in the presence of time dependent (but uniform over space) magnetic field, is studied by Monte Carlo simulation. The time dependent magnetic field was taken as elliptically polarised in such a way that the resulting field vector rotates in the XZ plane. In the limit of low anisotropy, the dynamical responses of the system are studied as functions of temperature and the amplitudes of the magnetic field. As the temperature decreases, it aws found that the system undergoes multiple dynamical phase transitions. In this limit, the multiple transitions were studied in details and the phase diagram for this observed multicritical behaviour was drawn in the field amplitude and temperature palne.The natures (continuous/discontinuous) of the transitions are determined by the temperature variations of fourth order Binder cumulant ratio and the distributions of the order parameter near the transition points. The transitions are supported by finite size study. The temperature variations of the variances of dynamic order parameter components (for different system sizes) indicate the existence of diverging length scale near the dynamic transition points. The frequency dependences of the transition temperatures of the multiple dynamic transition are also studied briefly.

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