Hysteresis in Random Field XY and Heisenberg Models: Mean Field Theory and Simulations at Zero Temperature

Details Hysteresis in Random Field XY and Heisenberg Models: Mean Field Theory and Simulations at Zero Temperature Hysteresis in Random Field XY and Heisenberg Models: Mean Field Theory and Simulations at Zero Temperature

2009-07-11

arxiv.org/abs/0907.1957v2

Phys Rev E 81, 031106 (2010)

Physics

Condensed Matter

Statistical Mechanics

replaced by the published version

Scientific paper

We examine zero temperature hysteresis in random field XY and Heisenberg models in the zero frequency limit of a cyclic driving field. Exact expressions for hysteresis loops are obtained in the mean field approximation. These show rather unusual features. We also perform simulations of the two models on a simple cubic lattice and compare them with the predictions of the mean field theory.

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