Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses
Disordered Systems and Neural Networks
2009-04-30 v3
Abstract
We test for the existence of a spin-glass phase transition, the de Almeida-Thouless line, in an externally-applied (random) magnetic field by performing Monte Carlo simulations on a power-law diluted one-dimensional Ising spin glass for very large system sizes. We find that an Almeida-Thouless line only occurs in the mean field regime, which corresponds, for a short-range spin glass, to dimension d larger than 6.
Keywords
Cite
@article{arxiv.0812.0421,
title = {Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses},
author = {Helmut G. Katzgraber and Derek Larson and A. P. Young},
journal= {arXiv preprint arXiv:0812.0421},
year = {2009}
}
Comments
4 pages, 2 figures, 1 table