Critical behaviour of anisotropic magnets with quenched disorder: replica symmetry breaking studied by operator product expansion

2016/02/22 by E. Kogan, M. Kaveh, Kogan, E. +1
Materials Science · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Magnetic Properties of Alloys #Magnetic properties of thin films #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1602.06789

This paper was by far superseded by the authors' posting arXiv:1603.06383 [cond-mat.stat-mech]

openalex publication_date 2016/02/22 · arxiv created 2016/03/22 · arxiv updated 2016/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study critical behaviour of disordered magnets near four dimensions. We consider the system with explicit cubic anisotropy and scalar disorder and that with random direction of anisotropy axis. The quenched disorder is taken into account by replica method. Using the method of operator product expansion, we derive in the first order to ε approximation the renormalization group equations taking into account possible replica symmetry breaking.

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