Discrete energy landscapes and replica symmetry breaking at zero temperature
Statistical Mechanics
2009-10-31 v2 Disordered Systems and Neural Networks
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.
Keywords
Cite
@article{arxiv.cond-mat/0010010,
title = {Discrete energy landscapes and replica symmetry breaking at zero temperature},
author = {F. Krzakala and O. C. Martin},
journal= {arXiv preprint arXiv:cond-mat/0010010},
year = {2009}
}
Comments
7 pages; clarifications on valley definitions