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Ground State Entropy of the Potts Antiferromagnet on Cyclic Strip Graphs | | Robert Shrock
; Shan-Ho Tsai
; | | Date: |
15 Mar 1999 | | Journal: | J. Phys. A (Lett.) 32, L195 (1999) | | Subject: | Statistical Mechanics; Combinatorics | cond-mat.stat-mech hep-lat math.CO | | Abstract: | We present exact calculations of the zero-temperature partition function (chromatic polynomial) and the (exponent of the) ground-state entropy $S_0$ for the $q$-state Potts antiferromagnet on families of cyclic and twisted cyclic (Möbius) strip graphs composed of $p$-sided polygons. Our results suggest a general rule concerning the maximal region in the complex $q$ plane to which one can analytically continue from the physical interval where $S_0 > 0$. The chromatic zeros and their accumulation set ${cal B}$ exhibit the rather unusual property of including support for $Re(q) < 0$ and provide further evidence for a relevant conjecture. | | Source: | arXiv, cond-mat/9903233 | | Services: | Forum | Review | PDF | Favorites | |
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