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Numerical Results for Ground States of Mean-Field Spin Glasses at low Connectivities

S. Boettcher
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Abstract

An extensive list of results for the ground state properties of spin glasses on random graphs is presented. These results provide a timely benchmark for currently developing theoretical techniques based on replica symmetry breaking that are being tested on mean-field models at low connectivity. Comparison with existing replica results for such models verifies the strength of those techniques. Yet, we find that spin glasses on fixed-connectivity graphs (Bethe lattices) exhibit a richer phenomenology than has been anticipated by theory. Our data prove to be sufficiently accurate to speculate about some exact results.

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S. Boettcher. 2002-08-23. Numerical Results for Ground States of Mean-Field Spin Glasses at low Connectivities. https://doi.org/10.1103/physrevb.67.060403

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