Partition Function Zeros of a Restricted Potts Model on SelfDual Strips of the Square Lattice
Abstract
We calculate the partition function Z(G, Q, v) of the Qstate Potts model exactly for selfdual cyclic squarelattice strips of various widths L_{y} and arbitrarily large lengths L_{x}, with Q and v restricted to satisfy the relation Q=v^{2}. From these calculations, in the limit L_{x}→∞, we determine the continuous accumulation locus 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 to arbitrarily large width. Relations with the loci B for general Q and v are analyzed.
 Publication:

International Journal of Modern Physics B
 Pub Date:
 2007
 DOI:
 10.1142/S021797920703703X
 arXiv:
 arXiv:condmat/0602178
 Bibcode:
 2007IJMPB..21.1755C
 Keywords:

 Potts model;
 partition function zeros;
 Condensed Matter  Statistical Mechanics
 EPrint:
 10 pages, 6 figures