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 -