Critical Hysteresis in Random Field XY and Heisenberg Models

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.

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

References in corpus (7)

• Disorder-induced microscopic magnetic memory
• Hysteresis loops of magnetic thin films with perpendicular anisotropy
• Unexpected universality in static and dynamic avalanches
• Critical Hysteresis from Random Anisotropy
• Models of plastic depinning of driven disordered systems
• Mean Field Theory of Collective Transport with Phase Slips
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Cited by in corpus (5)

• Analysis of wasp-waisted hysteresis loops in magnetic rocks
• Hysteresis in Anti-Ferromagnetic Random-Field Ising Model at Zero Temperature
• Hysteresis behavior of the anisotropic quantum Heisenberg model
• Hysteresis and return point memory in the random field Blume Capel model
• Emergent Time Crystal with Tunable Period in the Uniaxial Random Field XY Magnet