Complex-Field Zeros of the random-energy model
Disordered Systems and Neural Networks
2009-10-30 v1 Statistical Mechanics
Abstract
The complex-field zeros of the Random Energy Model are analytically determined. For T<T_c they are distributed in the whole complex plane with a density that decays very fast with the real component of H. For T>T_c a region is found which is free of zeros and is associated to the paramagnetic phase of the system. This region is separated from the former by a line of zeros. The real axis is found to be enclosed in a cloud of zeros in the whole frozen phase of the system.
Keywords
Cite
@article{arxiv.cond-mat/9711012,
title = {Complex-Field Zeros of the random-energy model},
author = {Cristian F. Moukarzel and Nestor Parga},
journal= {arXiv preprint arXiv:cond-mat/9711012},
year = {2009}
}
Comments
10 pages plain TeX + 1 gif figure