Instanton Analysis of Hysteresis in the Three-Dimensional Random-Field Ising Model

Abstract

We study the magnetic hysteresis in the random field Ising model in 3D. We discuss the disorder dependence of the coercive field H_c, and obtain an analytical description of the smooth part of the hysteresis below and above H_c, by identifying the disorder configurations (instantons) that are the most probable to trigger local avalanches. We estimate the critical disorder strength at which the hysteresis curve becomes continuous. From an instanton analysis at zero field we obtain a description of local two-level systems in the ferromagnetic phase.

arXiv commentPhys. Rev. Lett. 96, 117202 (2006)

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Cited by in corpus (9)

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• Marginal States in Mean Field Glasses
• A universal form of slow dynamics in zero-temperature random-field Ising model
• Quasi-stationary criticality of the Order-Parameter of the d=3 Random-Field Ising Antiferromagnet Fe(0.85)Zn(0.15)F2: A Synchrotron X-ray Scattering Study
• Low-energy excitations in the three-dimensional random-field Ising model
• Non-perturbative phenomena in the three-dimensional random field Ising model
• Critical fluctuations of time-dependent magnetization in a random-field Ising model
• Rare Trajectories in a Prototypical Mean-field Disordered Model: Insights into Landscape and Instantons
• The critical Barkhausen avalanches in thin random-field ferromagnets with an open boundary