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Complex-Temperature Phase Diagrams for the q-State Potts Model on Self-Dual Families of Graphs and the Nature of the $q o infty$ Limit | Shu-Chiuan Chang
; Robert Shrock
; | Date: |
1 Jul 2001 | Journal: | Phys. Rev. E 64, 066116 (16 pages) (2001) | Subject: | Statistical Mechanics | cond-mat.stat-mech | Abstract: | We present exact calculations of the Potts model partition function $Z(G,q,v)$ for arbitrary $q$ and temperature-like variable $v$ on self-dual strip graphs $G$ of the square lattice with fixed width $L_y$ and arbitrarily great length $L_x$ with two types of boundary conditions. Letting $L_x o infty$, we compute the resultant free energy and complex-temperature phase diagram, including the locus ${cal B}$ where the free energy is nonanalytic. Results are analyzed for widths $L_y=1,2,3$. We use these results to study the approach to the large-q limit of ${cal B}$. | Source: | arXiv, cond-mat/0107012 | Services: | Forum | Review | PDF | Favorites |
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