Zeros of the partition function and dynamical singularities in spin-glass systems
Statistical Mechanics
2013-12-18 v1 Disordered Systems and Neural Networks
Abstract
We study spin-glass systems characterized by continuous occurrence of singularities. The theory of Lee-Yang zeros is used to find the singularities. By using the replica method in mean-field systems, we show that two-dimensional distributions of zeros of the partition function in a complex parameter plane are characteristic feature of random systems. The results of several models indicate that the concept of chaos in the spin-glass state is different from that of the replica symmetry breaking. We discuss that a chaotic phase at imaginary temperature is different from the spin-glass phase and is accessible by quantum dynamics in a quenching protocol.
Cite
@article{arxiv.1309.0076,
title = {Zeros of the partition function and dynamical singularities in spin-glass systems},
author = {Kazutaka Takahashi and Tomoyuki Obuchi},
journal= {arXiv preprint arXiv:1309.0076},
year = {2013}
}
Comments
11 pages, 6 figures, proceedings of the ICSG2013