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Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Poster II

DY 30.29: Poster

Thursday, March 29, 2007, 16:00–18:00, Poster D

Fractal dimension of domain walls in two-dimensional Ising spin glasses — •Oliver Melchert and Alexander K. Hartmann — Institut für Theoretische Physik, Georg-August-Universität Göttingen

We study the problem of finding domain-wall excitations on 2d Ising spin glasses in terms of a shortest-path problem. Purpose of this ground-state study is to shed light on the fractal dimension df of domain walls, where df describes the scaling of the mean domain wall length with the system size L, i.e. ⟨ ℓ ⟩ ∝ Ldf. Exploring systems up to L=300 we yield df=1.271(1) for the case of gaussian disorder, in support of previous findings. The case of bimodal disorder exhibits a high degeneracy of ground states and thus allows for numerous domain walls with minimal energy. Here, we are able to give a true lower and an estimate for the upper bound of the fractal dimension: dflow = 1.097(1) and dfup = 1.396(10).

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