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

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

2001-08-03

arxiv.org/abs/cond-mat/0108050v2

Phys. Rev. Lett. 88, 077201 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

some three-dimensional results added

Scientific paper

10.1103/PhysRevLett.88.077201

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.

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