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Numerical study of metastable States in ising spin glasses
Andrea Cavagna1, Irene Giardina, Giorgio Parisi
1Dipartimento di Fisica, Università di Roma La Sapienza and Center for Statistical Mechanics and Complexity, INFM Roma 1, Piazzale Aldo Moro 2, 00185 Roma, Italy.
Abstract:
We study numerically the structure of metastable states in the Sherrington-Kirkpatrick spin glass. We find that all nonparamagnetic stationary points of the free energy are organized into pairs, consisting of a minimum and an order 1 saddle, which coalesce in the thermodynamic limit. Within the annealed approximation, the entropic contribution of these states, that is the complexity, is compatible with the supersymmetry-breaking calculation performed by Bray and Moore [J. Phys. C 13, L469 (1980)]]. This result indicates that the supersymmetry is spontaneously broken in the Sherrington-Kirkpatrick model.