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

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

1997-12-20

arxiv.org/abs/cond-mat/9712253v1

Phys. Rev. E57, 2686 (1998)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.57.2686

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.

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