Zero-Temperature Limit of the SUSY-breaking Complexity in Diluted Spin-Glass Models

Abstract

We study the SUSY-breaking complexity of the Bethe Lattice Spin-Glass in the zero temperature limit. We consider both the Gaussian and the bimodal distribution of the coupling constants. For $J_{ij}=\pm 1$ the SUSY breaking theory yields fields distributions that concentrate on integer values at low temperatures, at variance with the unbroken SUSY theory. This concentration takes place both in the quenched as well as in the simpler annealed formulation.

4 pages, 2 figures

References in corpus (6)

• Complexity in Mean-Field Spin-Glass Models: Ising $p$-spin
• Numerical study of metastable states in Ising spin glasses
• Coexistence of supersymmetric and supersymmetry-breaking states in spherical spin-glasses
• On Supersymmetry Breaking in the Computation of the Complexity
• Cavity Method for Supersymmetry Breaking Spin Glasses
• Tap Complexity, the Cavity Method and Supersymmetry

Cited by in corpus (6)

• Phase Transitions in the Coloring of Random Graphs
• Marginal States in Mean Field Glasses
• Diluted Mean-Field Spin-Glass Models at Criticality
• Entropic Effects in the Very Low Temperature Regime of Diluted Ising Spin Glasses with Discrete Couplings
• Numerical Study of TAP Metastable States in 3-body Ising Spin Glasses
• A replica trick for rare samples