Mean Field Theory of the Three-Dimensional Dipole Superspin Glasses

2010/01/18 by Victor Dotsenko, Dotsenko, Victor
Mathematics · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1001.3023

This paper has been withdrawn by the author

openalex publication_date 2010/01/18 · arxiv created 2010/09/16 · arxiv updated 2010/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the three-dimensional system of magnetic nanoparticle dipoles randomly oriented along quenched easy axes. Directions of the magnetic momenta are described by the Ising variables which allow the momenta to flip along their random orientations. Using the standard mean-field approximation and the replica technique it is shown that the system undergoes a finite temperature phase transition into a spin-glass phase.

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