TY - JOUR
T1 - Partition function zeros of a restricted Potts model on self-dual strips of the square lattice
AU - Chang, Shu Chiuan
AU - Shrock, Robert
N1 - Funding Information:
This research was partially supported by the NSF grant PHY-03-54776 (R.S.) and the Taiwan NSC grant NSC-94-2112-M-006-013 (S.-C.C.).
PY - 2007/4/20
Y1 - 2007/4/20
N2 - 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 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 Β 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 Β for general Q and v are analyzed.
AB - 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 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 Β 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 Β for general Q and v are analyzed.
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U2 - 10.1142/S021797920703703X
DO - 10.1142/S021797920703703X
M3 - Article
AN - SCOPUS:34248553579
VL - 21
SP - 1755
EP - 1773
JO - International Journal of Modern Physics B
JF - International Journal of Modern Physics B
SN - 0217-9792
IS - 10
ER -