arXiv:cond-mat/9801305·v1·Statistical Mechanics

Study of the Potts Model on the Honeycomb and Triangular Lattices: Low-Temperature Series and Partition Function Zeros

H. Feldmann (1) · A. J. Guttmann (2) · I · Jensen (2) · R. Shrock (1) · S.-H. Tsai (1) ((1) Inst. for Theor. Physics, State Univ. of New York, Stony Brook (2) Dept. of Mathematics and Statistics, University of Melbourne)

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Abstract

We present and analyze low-temperature series and complex-temperature partition function zeros for the $q$ -state Potts model with $q = 4$ on the honeycomb lattice and $q = 3, 4$ on the triangular lattice. A discussion is given as to how the locations of the singularities obtained from the series analysis correlate with the complex-temperature phase boundary. Extending our earlier work, we include a similar discussion for the Potts model with $q = 3$ on the honeycomb lattice and with $q = 3, 4$ on the kagomé lattice.

Comments: 33 pages, Latex, 9 encapsulated postscript figures, J. Phys. A, in press