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arXiv · 1207.7014

The correspondence between long-range and short-range spin glasses

R. A. Baños·L. A. Fernandez·V. Martin-Mayor·A. P. Young
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Abstract

We compare the critical behavior of the short-range Ising spin glass with a spin glass with long-range interactions which fall off as a power sigma of the distance. We show that there is a value of sigma of the long-range model for which the critical behavior is very similar to that of the short-range model in four dimensions. We also study a value of sigma for which we find the critical behavior to be compatible with that of the three dimensional model, though we have much less precision than in the four-dimensional case.

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BibTeXRIS

R. A. Baños, L. A. Fernandez, V. Martin-Mayor, A. P. Young. 2012-07-30. The correspondence between long-range and short-range spin glasses. https://doi.org/10.1103/physrevb.86.134416

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