Hysteresis in Anti-Ferromagnetic Random-Field Ising Model at Zero Temperature

Abstract

We study hysteresis in anti-ferromagnetic random-field Ising model at zero temperature. The external field is cycled adiabatically between -$\infty$ and $\infty$. Two different distributions of the random-field are considered, (i) a uniform distribution of width $2\Delta$ centered at the origin, and (ii) a Gaussian distribution with average value zero and standard deviation $\sigma$. In each case the hysteresis loop is determined exactly in one dimension and compared with numerical simulations of the model.

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• Gaps between avalanches in 1D Random Field Ising Models
• Standing spin wave mode in RFIM at T=0: Patterns and nonequilibrium phases
• Antiferromagnetic Barkhausen noise induced by weak random-field disorder
• Hysteresis in magnets