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.

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

References in corpus (6)

• Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions
• Mean field theory for the three-dimensional Coulomb glass
• Universality-class dependence of energy distributions in spin glasses
• Double Criticality of the Sherrington-Kirkpatrick Model at T=0
• Energy size effects of two-dimensional Ising spin glasses
• Geometry of large-scale low-energy excitations in the one-dimensional Ising spin glass with power-law interactions

Cited by in corpus (1)

• Analysis of Evolutionary Algorithms on the One-Dimensional Spin Glass with Power-Law Interactions