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Aspect-Ratio Scaling and The Stiffness Exponent $θ$ for Ising Spin Glasses

A. C. Carter·A. J. Bray·M. A. Moore
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Abstract

We introduce the technique of aspect-ratio scaling to study the scale-dependence of interfacial energies in Ising spin glasses, and we show how one can use it to determine the stiffness exponent $θ$ in a clean way, with results that are independent of the domain-wall-forcing boundary conditions imposed on the system. In space dimension d=2 we obtain $θ= -0.282(3)$ for a Gaussian distribution of exchange interactions.

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A. C. Carter, A. J. Bray, M. A. Moore. 2001-11-19. Aspect-Ratio Scaling and The Stiffness Exponent $θ$ for Ising Spin Glasses. https://doi.org/10.1103/physrevlett.88.077201

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