Discrete energy landscapes and replica symmetry breaking at zero temperature

Details Discrete energy landscapes and replica symmetry breaking at zero temperature Discrete energy landscapes and replica symmetry breaking at zero temperature

2000-10-02

arxiv.org/abs/cond-mat/0010010v2

Europhysics Letters 53 (6) (2001) 749-755

Physics

Condensed Matter

Statistical Mechanics

7 pages; clarifications on valley definitions

Scientific paper

10.1209/epl/i2001-00215-y

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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