Ju n 19 98 The O ( n ) loop model on the 3 - 12 lattice
نویسنده
چکیده
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 μ = 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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تاریخ انتشار 1998