Hard hexagon partition function for complex fugacity
Mathematical Physics
2013-11-19 v2 math.MP
Abstract
We study the analyticity of the partition function of the hard hexagon model in the complex fugacity plane by computing zeros and transfer matrix eigenvalues for large finite size systems. We find that the partition function per site computed by Baxter in the thermodynamic limit for positive real values of the fugacity is not sufficient to describe the analyticity in the full complex fugacity plane. We also obtain a new algebraic equation for the low density partition function per site.
Cite
@article{arxiv.1306.6389,
title = {Hard hexagon partition function for complex fugacity},
author = {M. Assis and J. L. Jacobsen and I. Jensen and J-M. Maillard and B. M. McCoy},
journal= {arXiv preprint arXiv:1306.6389},
year = {2013}
}
Comments
49 pages, IoP styles files, lots of figures (png mostly) so using PDFLaTeX. Some minor changes added to version 2 in response to referee reports