Universality class of the depinning transition in the two-dimensional Ising model with quenched disorder

Abstract

With Monte Carlo methods, we investigate the universality class of the depinning transition in the two-dimensional Ising model with quenched random fields. Based on the short-time dynamic approach, we accurately determine the depinning transition field and both static and dynamic critical exponents. The critical exponents vary significantly with the form and strength of the random fields, but exhibit independence on the updating schemes of the Monte Carlo algorithm. From the roughness exponents $\zeta ,{\zeta }_{loc}$ and ${\zeta }_s$, one may judge that the depinning transition of the random-field Ising model belongs to the new dynamic universality class with $\zeta \ne {\zeta }_{loc}\ne {\zeta }_s$ and ${\zeta }_{loc}\ne 1$. The crossover from the second-order phase transition to the first-order one is observed for the uniform distribution of the random fields, but it is not present for the Gaussian distribution.

arXiv comment16 pages, 16 figures, 3 tables

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Cited by in corpus (7)

• Large-scale Monte Carlo simulations for the depinning transition in Ising-type lattice models
• Universality of critically pinned interfaces in 2-dimensional isotropic random media
• Creep motion of a domain wall in the two-dimensional random-field Ising model with a driving field
• Depinning phase transition in two-dimensional clock model with quenched randomness
• Dynamic approach to finite-temperature magnetic phase transitions in the extended J1- J2 model with vacancy order
• Intrinsic anomalous scaling in a ferromagnetic thin film model
• Depinning free of the elastic approximation