Local field distributions in spin glasses

TL;DR

This paper presents numerical analysis of local field distributions in various spin-glass models, revealing weak dependence on interaction range and dimensionality, with notable differences near zero local field.

Contribution

It provides comprehensive numerical results for local field distributions across different spin-glass models and interaction ranges, highlighting their similarities and differences.

Findings

Local field distributions are weakly dependent on interaction range and dimension.

Strong similarities in distributions are observed across models, except near zero local field.

Results suggest universality in local field behavior 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.