TY - JOUR

T1 - Zeros of the Potts model partition function in the large-q limit

AU - Chang, Shu Chiuan

AU - Shrock, Robert

N1 - Funding Information:
The research of R.S. was partially supported by the NSF grant PHY-03-54776. The research of S.C.C. was partially supported by the NSC grant NSC-93-2119-M-006-009, NSC-94-2112-M-006-013, and NSC-94-2119-M-002-001.

PY - 2007/3/20

Y1 - 2007/3/20

N2 - We calculate zeros of the q-state Potts model partition function Z(G Λ, q; v) for large q, where v is the temperature variable and GΛ is a section of a lattice Λ with coordination number kΛ and various boundary conditions. Lattice types studied include square, triangular, honeycomb, and kagomé. We show that for large q these zeros take on approximately circular patterns in the complex x Λ plane, where xΛ = v/q 2/kΛ. This generalizes a known result for the square lattice to the other lattices considered.

AB - We calculate zeros of the q-state Potts model partition function Z(G Λ, q; v) for large q, where v is the temperature variable and GΛ is a section of a lattice Λ with coordination number kΛ and various boundary conditions. Lattice types studied include square, triangular, honeycomb, and kagomé. We show that for large q these zeros take on approximately circular patterns in the complex x Λ plane, where xΛ = v/q 2/kΛ. This generalizes a known result for the square lattice to the other lattices considered.

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U2 - 10.1142/S0217979207036849

DO - 10.1142/S0217979207036849

M3 - Article

AN - SCOPUS:34247328999

VL - 21

SP - 979

EP - 994

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

SN - 0217-9792

IS - 7

ER -