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Abstract
We study the scaling behavior of domain-wall energies in
two-dimensional Ising spin glasses with Gaussian and bimodal
distributions of the interactions and different types of boundary
conditions. The domain walls are generated by changing the boundary
conditions at T=0 in one direction. The ground states of the
original and perturbed system are calculated numerically by applying
an efficient matching algorithm. Systems of size L x M with
different aspect-ratios 1/8 <= L/M <= 64 are considered.
For Gaussian interactions, using the aspect-ratio scaling
approach, we find a stiffness exponent theta=-0.287(4), which
is independent of the boundary conditions in contrast to earlier
results. Furthermore, we find a scaling behavior of the
domain-wall energy as predicted by the aspect-ratio approach. Finally,
we show that this approach does not work for the bimodal distribution
of interactions.
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