The O(n) loop model on the 3-12 lattice

Details The O(n) loop model on the 3-12 lattice The O(n) loop model on the 3-12 lattice

1998-06-10

arxiv.org/abs/cond-mat/9806130v1

J. Stat. Phys. 92 (1998) 1203-1208

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 eps figs

Scientific paper

The partition function of the O(n) loop model on the honeycomb lattice is mapped to that of the O(n) loop model on the 3-12 lattice. Both models share the same operator content and thus critical exponents. The critical points are related via a simple transformation of variables. When n=0 this gives the recently found exact value $\mu = 1.711 041...$ for the connective constant of self-avoiding walks on the 3-12 lattice. The exact critical points are recovered for the Ising model on the 3-12 lattice and the dual asanoha lattice at n=1.

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