Dresden 2003 – scientific programme
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DY: Dynamik und Statistische Physik
DY 53: Statistical physics (general) II
DY 53.6: Talk
Friday, March 28, 2003, 12:45–13:00, G\"OR/229
Domain walls and droplets in two-dimensional Ising spin glasses — •Alexander K. Hartmann1, Alan J. Bray2, Adam C. Carter2, Mike A. Moore2, and A. Peter Young3 — 1Institut für Theoretische Physik, Bunsenstraße 9, 37073 Göttingen, Germany — 2University of Manchester M13 9PL, UK — 3University of California, Santa Cruz CA 95064, USA
We study the scaling behavior of domain-walls[1] and droplets[2] in two-dimensional Ising spin glasses with Gaussian and bimodal distributions of the interactions. The domain walls are generated by changing the boundary conditions at T=0 in one direction. The droplets are obtained by introducing strong bonds locally attracting resp. repelling the ground state of the original system. The ground states of the original and perturbed system are calculated numerically by applying an efficient matching algorithm. We study the domain-wall energies using the aspect-ratio scaling approach. For the Gaussian disorder we find a stiffness exponent θ=−0.287(4), which is independent of the boundary conditions. We furthermore show, that for bimodal disorder the aspect-ratio approach does not work. For the behavior of the droplets an addition of a scaling correction l−ω is needed in order to accurately describe droplet energies at the length scales currently probed in numerical simulations making all results in two dimensions compatible with the Droplet picture.
[1] A.K. Hartmann, A.J. Bray, A.C. Carter, M.A. Moore, und A.P. Young Phys. Rev. B 66, 224401 (2002)
[2] A.K. Hartmann und M.A. Moorecond-mat/0210587