Ordered vs Disordered States of the Random-Field Model in Three Dimensions
Abstract
We report numerical investigation of the glassy behavior of random-field exchange models in three dimensions. Correlation of energy with the magnetization for different numbers of spin components has been studied. There is a profound difference between the models with two and three spin components with respect to the stability of the magnetized state due to the different kinds of singularities: vortex loops and hedgehogs, respectively. Memory effects pertinent to such states have been investigated. Insight into the mechanism of the large-scale disordering is provided by numerically implementing the Imry-Ma argument in which the spins follow the random field averaged over correlated volumes. Thermal stability of the magnetized states is investigated by the Monte Carlo method.
Cite
@article{arxiv.1406.1165,
title = {Ordered vs Disordered States of the Random-Field Model in Three Dimensions},
author = {D. A. Garanin and E. M. Chudnovsky},
journal= {arXiv preprint arXiv:1406.1165},
year = {2016}
}
Comments
19 pages, 26 figure captions