| Issue |
Europhys. Lett.
Volume 53, Number 6, March 2001
|
|
|---|---|---|
| Page(s) | 749 - 755 | |
| Section | Condensed matter: structure, mechanical and thermal properties | |
| DOI | https://doi.org/10.1209/epl/i2001-00215-y | |
| Published online | 01 December 2003 | |
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,
France
Corresponding authors: krzakala@ipno.in2p3.fr martino@ipno.in2p3.fr
Received:
6
October
2000
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
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