Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-08-28
Phys. Rev. B 66, 224401 (2002)
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages, 5 figures, 1 table, revtex
Scientific paper
10.1103/PhysRevB.66.224401
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 LxM 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.
Bray Alan J.
Carter Adriaan C.
Hartmann Alexander K.
Moore Anna M.
Young Patrick A.
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