Interface energies in Ising spin glasses
T. Aspelmeier, M. A. Moore, A. P. Young
TL;DR
This paper investigates interface energies in finite-dimensional Ising spin glasses using the replica method, revealing non-zero interface free energies after fluctuations, contrasting with mean-field predictions and numerical results.
Contribution
It applies the replica method to compute interface energies in finite-dimensional spin glasses, highlighting the importance of fluctuation effects beyond mean-field theory.
Findings
Mean-field theory predicts zero interface free energy.
Fluctuation effects produce a non-zero interface free energy.
Results differ significantly from numerical expectations.
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.
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