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.
Journal of Physics A Mathematical General
- Pub Date:
- August 2008
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Statistical Mechanics
- 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