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.