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The stiffness exponent of two-dimensional Ising spin glasses for non-periodic boundary conditions using aspect-ratio scaling | | Alexander K. Hartmann
; Alan J. Bray
; A.C. Carter
; M.A. Moore
; A.P. Young
; | | Date: |
28 Aug 2002 | | Journal: | Phys. Rev. B 66, 224401 (2002) | | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn | | 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 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. | | Source: | arXiv, cond-mat/0208546 | | Services: | Forum | Review | PDF | Favorites | |
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