An Introduction to the Theory of Spin Glasses
Disordered Systems and Neural Networks
2023-12-01 v1 Statistical Mechanics
Abstract
We review the main methods used to study spin glasses. In the first part, we focus on methods for fully connected models and systems defined on a tree, such as the replica method, the Thouless-Anderson-Palmer formalism, the cavity method, and the dynamical mean-field theory. In the second part, we deal with the description of low-dimensional systems, mostly in three spatial dimensions, which are mostly studied through numerical simulations. We conclude by mentioning some of the main open problems in the field.
Keywords
Cite
@article{arxiv.2302.04842,
title = {An Introduction to the Theory of Spin Glasses},
author = {Ada Altieri and Marco Baity-Jesi},
journal= {arXiv preprint arXiv:2302.04842},
year = {2023}
}
Comments
To appear as a chapter of the "Encyclopedia of Condensed Matter Physics", 2nd edition (Elsevier)