Fractal dimension of domain walls in the Edwards-Anderson spin glass model

Abstract

We study directly the length of the domain walls (DW) obtained by comparing the ground states of the Edwards-Anderson spin glass model subject to periodic and antiperiodic boundary conditions. For the bimodal and Gaussian bond distributions, we have isolated the DW and have calculated directly its fractal dimension $d_f$. Our results show that, even though in three dimensions $d_f$ is the same for both distributions of bonds, this is clearly not the case for two-dimensional (2D) systems. In addition, contrary to what happens in the case of the 2D Edwards-Anderson spin glass with Gaussian distribution of bonds, we find no evidence that the DW for the bimodal distribution of bonds can be described as a Schramm-Loewner evolution processes.

6 pages, 5 figures. Accepted for publication in PRB

References in corpus (4)

• Are Domain Walls in Spin Glasses Described by Stochastic Loewner Evolutions?
• Fractal dimension of domain walls in two-dimensional Ising spin glasses
• Frustration effects in antiferromagnets on planar random graphs
• Domain wall entropy of the bimodal two-dimensional Ising spin glass

Cited by in corpus (3)

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• Domain walls and chaos in the disordered SOS model
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