scholarly journals Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models VI. Square Lattice with Extra-Vertex Boundary Conditions

2011 ◽  
Vol 144 (5) ◽  
pp. 1028-1122 ◽  
Author(s):  
Jesús Salas ◽  
Alan D. Sokal
Keyword(s):  
Partition Function ◽  
Boundary Conditions ◽  
Square Lattice ◽  
Transfer Matrices ◽  
Partition Function Zeros ◽  
Potts Models ◽  
Function Zeros

scholarly journals PARTITION FUNCTION ZEROS OF A RESTRICTED POTTS MODEL ON SELF-DUAL STRIPS OF THE SQUARE LATTICE

2007 ◽  
Vol 21 (10) ◽  
pp. 1755-1773 ◽  
Author(s):  
SHU-CHIUAN CHANG ◽  
ROBERT SHROCK
Keyword(s):  
Partition Function ◽  
Potts Model ◽  
Square Lattice ◽  
Partition Function Zeros ◽  
Large Width ◽  
Function Zeros ◽  
Continuous Accumulation

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 Ly and arbitrarily large lengths Lx, with Q and v restricted to satisfy the relation Q=v2. From these calculations, in the limit Lx→∞, we determine the continuous accumulation locus [Formula: see text] 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 [Formula: see text] for general Q and v are analyzed.

Partition Function Zeros of the Square Lattice Potts Model

1996 ◽  
Vol 76 (2) ◽  
pp. 169-172 ◽  
Author(s):  
Chi-Ning Chen ◽  
Chin-Kun Hu ◽  
F. Y. Wu
Keyword(s):  
Partition Function ◽  
Potts Model ◽  
Square Lattice ◽  
Partition Function Zeros ◽  
Function Zeros
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