Discrete energy landscapes and replica symmetry breaking at zero temperature
Laboratoire de Physique Théorique et Modèles Statistiques
Université Paris-Sud, bâtiment 100 - F-91405 Orsay,
Accepted: 8 January 2001
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 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.
PACS: 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 75.10.Nr – Spin-glass and other random models
© EDP Sciences, 2001