Modified TAP equations for the SK spin glass

Abstract

The stability of the TAP mean field equations is reanalyzed with the conclusion that the exclusive reason for the breakdown at the spin glass instability is an inconsistency for the value of the local susceptibility. A new alternative approach leads to modified equations which are in complete agreement with the original ones above the instability. Essentially altered results below the instability are presented and the consequences for the dynamical mean field equations are discussed.

7 pages, 2 figures, final revised version to appear in Europhys. Lett

References in corpus (1)

• Modified Thouless-Anderson-Palmer equations for the Sherrington-Kirkpatrick spin glass: Numerical solutions

Cited by in corpus (15)

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• Complexity in Mean-Field Spin-Glass Models: Ising $p$-spin
• Numerical study of metastable states in Ising spin glasses
• Complexity of the Sherrington-Kirkpatrick Model in the Annealed Approximation
• On Spin-Glass Complexity
• Marginal States in Mean Field Glasses
• Quenched Computation of the Complexity of the Sherrington-Kirkpatrick Model
• Finite-size critical scaling in Ising spin glasses in the mean-field regime
• On Supersymmetry Breaking in the Computation of the Complexity
• Tap Complexity, the Cavity Method and Supersymmetry
• Stability of solutions of the Sherrington-Kirkpatrick model with respect to replications of the phase space
• Expansion of the Gibbs potential for quantum many-body systems: General formalism with applications to the spin glass and the weakly non-ideal Bose gas
• The realizable solutions of the TAP equations
• Incompleteness of the Thouless, Anderson, and Palmer mean-field description of the spin-glass phase
• Free energy barriers in the Sherrington-Kirkpatrick model