Critical Hysteresis in Random Field XY and Heisenberg Models

Details Critical Hysteresis in Random Field XY and Heisenberg Models Critical Hysteresis in Random Field XY and Heisenberg Models

2010-07-24

arxiv.org/abs/1007.4265v2

Phys Rev E 83, 011121 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 6 figures; this is published version (added some text and references)

Scientific paper

We study zero-temperature hysteresis in random-field XY and Heisenberg models in the zero-frequency limit of a cyclic driving field. We consider three distributions of the random field and present exact solutions in the mean field limit. The results show a strong effect of the form of disorder on critical hysteresis as well as the shape of hysteresis loops. A discrepancy with an earlier study based on the renormalization group is resolved.

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