Local field distributions in spin glasses
Abstract
Numerical results for the local field distributions of a family of Ising spin-glass models are presented. In particular, the Edwards-Anderson model in dimensions two, three, and four is considered, as well as spin glasses with long-range power-law-modulated interactions that interpolate between a nearest-neighbour Edwards-Anderson system in one dimension and the infinite-range Sherrington-Kirkpatrick model. Remarkably, the local field distributions only depend weakly on the range of the interactions and the dimensionality, and show strong similarities except for near zero local field.
Cite
@article{arxiv.0711.3934,
title = {Local field distributions in spin glasses},
author = {Stefan Boettcher and Helmut G. Katzgraber and David Sherrington},
journal= {arXiv preprint arXiv:0711.3934},
year = {2009}
}
Comments
17 pages, 34 eps-figs included, extensive updates and new results, as to appear in JPA, find related articles at http://www.physics.emory.edu/faculty/boettcher