Some considerations of finite dimensional spin glasses

TL;DR

This paper reviews theoretical results on finite dimensional spin glasses, focusing on mean field approaches, their numerical and experimental verifications, and equilibrium properties at zero magnetic field.

Contribution

It provides a comprehensive analysis of the formulation, hypotheses, and physical status of mean field theory in finite dimensional spin glasses.

Findings

Mean field approach effectively describes equilibrium properties at zero magnetic field.

Numerical and experimental results support certain theoretical hypotheses.

Discussion clarifies the physical status and validity of the theory.

Abstract

In talk I will review the theoretical results that have been obtained for spin glasses, paying a particular attention to finite dimensional spin glasses. I will concentrate my attention on the formulation of the mean field approach and on its numerical and experimental verifications. I will mainly considered equilibrium properties at zero magnetic field, where the situation is clear and it should be not controversial. I will present the various hypothesis at the basis of the theory and I will discuss their physical status.