scholarly journals Complex-temperature partition function zeros of the Potts model on the honeycomb and kagomé lattices

1998 ◽  
Vol 57 (2) ◽  
pp. 1335-1346 ◽  
Author(s):  
Heiko Feldmann ◽  
Robert Shrock ◽  
Shan-Ho Tsai
Keyword(s):  
Partition Function ◽  
Potts Model ◽  
Partition Function Zeros ◽  
Complex Temperature ◽  
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.

scholarly journals Partition function zeros of the Q-state Potts model for non-integer Q

2000 ◽  
Vol 281 (1-4) ◽  
pp. 262-267 ◽  
Author(s):  
Seung-Yeon Kim ◽  
Richard J Creswick ◽  
Chi-Ning Chen ◽  
Chin-Kun Hu
Keyword(s):  
Partition Function ◽  
Potts Model ◽  
Partition Function Zeros ◽  
Function Zeros

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

scholarly journals EXACT PARTITION FUNCTION FOR THE POTTS MODEL WITH NEXT-NEAREST NEIGHBOR COUPLINGS ON ARBITRARY-LENGTH LADDERS

2001 ◽  
Vol 15 (05) ◽  
pp. 443-478 ◽  
Author(s):  
SHU-CHIUAN CHANG ◽  
ROBERT SHROCK
Keyword(s):  
Partition Function ◽  
Potts Model ◽  
Nearest Neighbor ◽  
Singular Locus ◽  
Infinite Length ◽  
Partition Function Zeros ◽  
Arbitrary Length ◽  
Arbitrary Complex ◽  
Exact Calculations ◽  
Function Zeros

We present exact calculations of partition function Z of the q-state Potts model with next-nearest-neighbor spin–spin couplings, both for the ferromagnetic and antiferromagnetic case, for arbitrary temperature, on n-vertex ladders with free, cyclic, and Möbius longitudinal boundary conditions. The free energy is calculated exactly for the infinite-length limit of these strip graphs and the thermodynamics is discussed. Considering the full generalization to arbitrary complex q and temperature, we determine the singular locus ℬ in the corresponding [Formula: see text] space, arising as the accumulation set of partition function zeros as n → ∞.

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