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arXiv:cond-mat/9905354 · The European Physical Journal B

The link overlap and finite size effects for the 3D Ising spin glass

Barbara Drossel, Hemant Bokil, M A Moore, Alan J. Bray

Published Jan 1, 2000• 33 citations
arXivHTMLPDF
DOI
10.1007/s100510050043

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We compare the probability distributions and Binder cumulants of the overlap in the 3D Ising spin glass with those of the magnetization in the ferromagnetic 2D XY model. We analyse similarities and differences. Evidence for the existence of a phase transition in the spin glass model is obtained thanks to the crossing of the Binder cumulant. We show that the behaviour of the XY model is fully compatible with the Kosterlitz - Thouless scenario. Finite-size effects have to be dealt with carefully in order to differentiate between two very different physical pictures that can look very similar.