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Partition Function Zeros of a Restricted Potts Model on Self-Dual Strips of the Square Lattice

Chang, Shu-Chiuan ; Shrock, Robert

Int. J. Mod. Phys. B21, 1755-1773 (2007) [Periódico revisado por pares]

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• Título:
Partition Function Zeros of a Restricted Potts Model on Self-Dual Strips of the Square Lattice
• Autor: Chang, Shu-Chiuan ; Shrock, Robert
• Assuntos: Condensed Matter - Statistical Mechanics
• É parte de: Int. J. Mod. Phys. B21, 1755-1773 (2007)
• Descrição: We calculate the partition function $Z(G,Q,v)$ of the $Q$-state Potts model exactly for self-dual cyclic square-lattice strips of various widths $L_y$ and arbitrarily great lengths $L_x$, with $Q$ and $v$ restricted to satisfy the relation $Q=v^2$. From these calculations, in the limit $L_x \to \infty$, we determine the continuous accumulation locus ${\cal B}$ of the partition function zeros in the $v$ and $Q$ planes. A number of interesting features of this locus are discussed and a conjecture is given for properties applicable for arbitrarily great width. Relations with the loci ${\cal B}$ for general $Q$ and $v$ are analyzed. Comment: 10 pages, 6 figures