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Discrete energy landscapes and replica symmetry breaking at zero temperature

F. Krzakala·O. C. Martin
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Abstract

The order parameter P(q) for disordered systems with degenerate ground-states is reconsidered. We propose that entropy fluctuations lead to a trivial P(q) at zero temperature as in the non-degenerate case, even if there are zero-energy large-scale excitations (complex energy landscape). Such a situation should arise in the 3-dimensional +-J Ising spin glass and in MAX-SAT. Also, we argue that if the energy landscape is complex with a finite number of ground-state families, then replica symmetry breaking reappears at positive temperature.

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F. Krzakala, O. C. Martin. 2001-01-25. Discrete energy landscapes and replica symmetry breaking at zero temperature. https://doi.org/10.1209/epl%2Fi2001-00215-y

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