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Aspect-ratio scaling and the stiffness exponent theta for Ising spin glasses
A C Carter1, A J Bray, M A Moore
1Department of Physics & Astronomy, The University of Manchester, Manchester M13 9PL, United Kingdom.
Physical Review Letters
|February 28, 2002
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 theta 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 theta = -0.282(3) for a Gaussian distribution of exchange interactions.