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

Abstract

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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Cited by in corpus (5)

• Analysis of wasp-waisted hysteresis loops in magnetic rocks
• Critical Hysteresis in Random Field XY and Heisenberg Models
• Hysteresis in Anti-Ferromagnetic Random-Field Ising Model at Zero Temperature
• Hysteresis behavior of the anisotropic quantum Heisenberg model
• Interaction-free ergodicity-breaking driven by temporally hyperuniform noise