Low field hysteresis in disordered ferromagnets

Details Low field hysteresis in disordered ferromagnets Low field hysteresis in disordered ferromagnets

2001-06-18

arxiv.org/abs/cond-mat/0106331v2

Phys. Rev. B 65, 144441 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Extended version, 18 pages, 5 figures, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.65.144441

We analyze low field hysteresis close to the demagnetized state in disordered ferromagnets using the zero temperature random-field Ising model. We solve the demagnetization process exactly in one dimension and derive the Rayleigh law of hysteresis. The initial susceptibility a and the hysteretic coefficient b display a peak as a function of the disorder width. This behavior is confirmed by numerical simulations d=2,3 showing that in limit of weak disorder demagnetization is not possible and the Rayleigh law is not defined. These results are in agreement with experimental observations on nanocrystalline magnetic materials.

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