Large-q series expansion for the ground state degeneracy of the q-state Potts antiferromagnet on the (3.12^2) lattice

Abstract

We calculate the large-$q$ series expansion for the ground state degeneracy (= exponent of the ground state entropy) per site of the $q$-state Potts antiferromagnet on the $(3\cdot 12^2)$ lattice, to order $O(y^{19})$, where $y=1/(q-1)$. We note a remarkable agreement, to $O(y^{18})$, between this series and a rigorous lower bound derived recently.

10 pages, Latex, 3 encapsulated postscript figures, to appear in Phys. Rev. E

References in corpus (3)

• Families of Graphs with W_r({G},q) Functions That Are Nonanalytic at 1/q=0
• Upper and Lower Bounds for Ground State Entropy of Antiferromagnetic Potts Models
• Ground State Entropy of Potts Antiferromagnets: Bounds, Series, and Monte Carlo Measurements

Cited by in corpus (5)

• Ground State Entropy of Potts Antiferromagnets: Homeomorphic Classes with Noncompact W Boundaries
• Ground State Entropy of Potts Antiferromagnets: Cases with Noncompact W Boundaries Having Multiple Points at 1/q = 0
• Ground State Entropy of Potts Antiferromagnets and the Approach to the 2D Thermodynamic Limit
• Lower Bounds on the Ground State Entropy of the Potts Antiferromagnet on Slabs of the Simple Cubic Lattice
• Improved Lower Bounds on the Ground-State Entropy of the Antiferromagnetic Potts Model