Free energy fluctuations in Ising spin glasses

Abstract

The sample-to-sample fluctuations of the free energy in finite-dimensional Ising spin glasses are calculated, using the replica method, from higher order terms in the replica number $n$. It is shown that the Parisi symmetry breaking scheme does not give the correct answers for these higher order terms. A modified symmetry breaking scheme with the same stability is shown to resolve the problem.

4 pages, 2 figures

References in corpus (3)

• Interface energies in Ising spin glasses
• Replica Fourier Transforms on Ultrametric Trees, and Block-Diagonalizing Multi-Replica Matrices
• Block diagonalizing ultrametric matrices

Cited by in corpus (18)

• Energy exponents and corrections to scaling in Ising spin glasses
• Large Deviations in the Free-Energy of Mean-Field Spin-Glasses
• Finite size corrections in the Sherrington-Kirkpatrick model
• Phase diagram and large deviations in the free-energy of mean-field spin-glasses
• Domain-wall excitations in the two-dimensional Ising spin glass
• Short-range Ising spin glasses: the metastate interpretation of replica symmetry breaking
• Replica Cluster Variational Method
• Large Deviations of the Free-Energy in Diluted Mean-Field Spin-Glass
• Interface free energies in p-spin glass models
• Matching between typical fluctuations and large deviations in disordered systems : application to the statistics of the ground state energy in the SK spin-glass model
• Interface free-energy exponent in the one-dimensional Ising spin glass with long-range interactions in both the droplet and broken replica symmetry regions
• An exact relation between free energy fluctuations and bond chaos in the Sherrington-Kirkpatrick model
• Fluctuation Bounds For Interface Free Energies in Spin Glasses
• Nature of perturbation theory in spin glasses
• Hierarchical solutions of the Sherrington-Kirkpatrick model: Exact asymptotic behavior near the critical temperature
• The Ising spin glass in finite dimensions: a perturbative study of the free energy
• Numerical study of ground state energy fluctuations in spin glasses
• A Comment on "Free energy fluctuations in Ising spin glasses", by T. Aspelmeier and M.A. Moore