Numerical study of metastable states in Ising spin glasses

Details Numerical study of metastable states in Ising spin glasses Numerical study of metastable states in Ising spin glasses

2003-12-19

arxiv.org/abs/cond-mat/0312534v1

Phys. Rev. Lett. 92, 120603 (2004)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.92.120603

We study numerically the structure of metastable states in the Sherrington-Kirkpatrick spin glass. We find that all non-paramagnetic stationary points of the free energy are organized into pairs, consisting in a minimum and a saddle of order one, 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 in [A.J. Bray and M.A. Moore, J. Phys. C, 13 L469 (1980)]. This result indicates that the supersymmetry is spontaneously broken in the Sherrington-Kirkpatrick model.

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