Interface energies in Ising spin glasses

Abstract

The replica method has been used to calculate the interface free energy associated with the change from periodic to anti-periodic boundary conditions in finite-dimensional spin glasses. At mean-field level the interface free energy vanishes but after allowing for fluctuation effects, a non-zero interface free energy is obtained which is significantly different from numerical expectations.

4 pages. Minor changes and clarifications

References in corpus (1)

• The stiffness exponent of two-dimensional Ising spin glasses for non-periodic boundary conditions using aspect-ratio scaling

Cited by in corpus (40)

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• Large Deviations in the Free-Energy of Mean-Field Spin-Glasses
• Finite size corrections in the Sherrington-Kirkpatrick model
• Universality-class dependence of energy distributions in spin glasses
• Stiffness Exponents for Lattice Spin Glasses in Dimensions d=3,...,6
• Low-Temperature Excitations of Dilute Lattice Spin Glasses
• Phase diagram and large deviations in the free-energy of mean-field spin-glasses
• Hysteretic optimization for the Sherrington-Kirkpatrick spin glass
• Free energy fluctuations and chaos in the Sherrington-Kirkpatrick model
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• Simulations of Ground State Fluctuations in Mean-Field Ising Spin Glasses
• Large Deviations of the Free-Energy in Diluted Mean-Field Spin-Glass
• One-dimensional infinite component vector spin glass with long-range interactions
• Universality and Deviations in Disordered Systems
• Interface free energies in p-spin glass models
• Interface free-energy exponent in the one-dimensional Ising spin glass with long-range interactions in both the droplet and broken replica symmetry regions
• 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
• Finding Ground States of Sherrington-Kirkpatrick Spin Glasses with Hierarchical BOA and Genetic Algorithms
• An exact relation between free energy fluctuations and bond chaos in the Sherrington-Kirkpatrick model
• Scaling of the largest dynamical barrier in the one-dimensional long-range Ising spin-glass
• Stability of the Parisi Solution for the Sherrington-Kirkpatrick model near T=0
• One-dimensional Ising spin-glass with power-law interaction : real-space renormalization at zero temperature
• Chaos properties of the one-dimensional long-range Ising spin-glass
• Possible instability of one-step replica symmetry breaking in p-spin Ising models outside mean-field theory
• Evidence that the AT transition disappears below six dimensions
• Reduction of Dilute Ising Spin Glasses
• Ground States of the Sherrington-Kirkpatrick Spin Glass with Levy Bonds
• Local excitations in mean field spin glasses
• Low Temperature Mass Spectrum in the Ising Spin Glass
• Numerical study of ground state energy fluctuations in spin glasses
• Anomalous finite size corrections in random field models
• Physics of the Edwards-Anderson Spin Glass in Dimensions $d=3,\dots ,8$ from Heuristic Ground State Optimization
• Nature of spin glass order in physical dimensions
• On a Dynamical-Like Replica-Symmetry-Breaking Scheme for the Spin Glass
• A Comment on "Free energy fluctuations in Ising spin glasses", by T. Aspelmeier and M.A. Moore