Universality in phase boundary slopes for spin glasses on self dual lattices

Details Universality in phase boundary slopes for spin glasses on self dual lattices Universality in phase boundary slopes for spin glasses on self dual lattices

2010-09-29

arxiv.org/abs/1009.6015v2

J. Stat. Mech. P02004 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 6 figures

Scientific paper

10.1088/1742-5468/2011/02/P02004

We study the effects of disorder on the slope of the disorder--temperature phase boundary near the Onsager point (Tc = 2.269...) in spin-glass models. So far, studies have focused on marginal or irrelevant cases of disorder. Using duality arguments, as well as exact Pfaffian techniques we reproduce these analytical estimates. In addition, we obtain different estimates for spin-glass models on hierarchical lattices where the effects of disorder are relevant. We show that the phase-boundary slope near the Onsager point can be used to probe for the relevance of disorder effects.

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