Scalings of domain wall energies in two dimensional Ising spin glasses
Carlo Amoruso, Enzo Marinari, Olivier C Martin, Andrea Pagnani
Abstract
We study domain wall energies of two dimensional spin glasses. The scaling of these energies depends on the model's distribution of quenched random couplings, falling into three different classes. The first class is associated with the exponent theta =-0.28, the other two classes have theta = 0, as can be justified theoretically. In contrast to previous claims, we find that theta=0 does not indicate d=dl but rather d <= dl, where dl is the lower critical dimension.
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