Frustrated Potts: Multiplicity Eliminates Chaos via Reentrance
Statistical Mechanics
2021-06-08 v2 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
The frustrated q-state Potts model is solved exactly on a hierarchical lattice, yielding chaos under rescaling, namely the signature of a spin-glass phase, as previously seen for the Ising (q=2) model. However, the ground-state entropy introduced by the (q>2)-state antiferromagnetic Potts bond induces an escape from chaos as multiplicity q increases. The frustration versus multiplicity phase diagram has a reentrant (as a function of frustration) chaotic phase.
Keywords
Cite
@article{arxiv.2006.01485,
title = {Frustrated Potts: Multiplicity Eliminates Chaos via Reentrance},
author = {Alpar Turkoglu and A. Nihat Berker},
journal= {arXiv preprint arXiv:2006.01485},
year = {2021}
}
Comments
Published version, 4 pages, 6 figures