Conformal invariance studies of the Baxter-Wu model and a related site-colouring problem

Details Conformal invariance studies of the Baxter-Wu model and a related site-colouring problem Conformal invariance studies of the Baxter-Wu model and a related site-colouring problem

1997-02-17

arxiv.org/abs/cond-mat/9702149v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, latex, to appear in J. Phys. A: Gen. Math

Scientific paper

10.1088/0305-4470/30/8/001

The partition function of the Baxter-Wu model is exactly related to the generating function of a site-colouring problem on a hexagonal lattice. We extend the original Bethe ansatz solution of these models in order to obtain the eigenspectra of their transfer matrices in finite geometries and general toroidal boundary conditions. The operator content of these models are studied by solving numerically the Bethe-ansatz equations and by exploring conformal invariance. Since the eigenspectra are calculated for large lattices, the corrections to finite-size scaling are also calculated.

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