Critical Hysteresis in Random Field XY and Heisenberg Models

Prabodh Shukla; R S Kharwanlang

doi:10.1103/physreve.83.011121

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arXiv · 1007.4265

Critical Hysteresis in Random Field XY and Heisenberg Models

Prabodh Shukla·R S Kharwanlang

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Abstract

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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Prabodh Shukla, R S Kharwanlang. 2010-07-24. Critical Hysteresis in Random Field XY and Heisenberg Models. https://doi.org/10.1103/physreve.83.011121

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