The hard hexagon partition function for complex fugacity

M Assis, J L Jacobsen, Iwan Jensen, J-M Maillard, B M McCoy

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Article number445202
Number of pages46
JournalJournal of Physics. A. Mathematical and Theoretical
Issue number44
Publication statusPublished - 8 Nov 2013


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