The de Almeida-Thouless line in vector spin glasses
Disordered Systems and Neural Networks
2013-05-29 v2 Statistical Mechanics
Abstract
We consider the infinite-range spin glass in which the spins have m > 1 components (a vector spin glass). Applying a magnetic field which is random in direction, there is an Almeida Thouless (AT) line below which the "replica symmetric" solution is unstable, just as for the Ising (m=1) case. We calculate the location of this AT line for Gaussian random fields for arbitrary m, and verify our results by numerical simulations for m = 3$.
Cite
@article{arxiv.1003.5599,
title = {The de Almeida-Thouless line in vector spin glasses},
author = {Auditya Sharma and A. P. Young},
journal= {arXiv preprint arXiv:1003.5599},
year = {2013}
}
Comments
19 pages, 4 eps figures