Exact Solution of a Vertex Model with Unlimited Number of States Per Bond

Details Exact Solution of a Vertex Model with Unlimited Number of States Per Bond Exact Solution of a Vertex Model with Unlimited Number of States Per Bond

1999-04-02

arxiv.org/abs/cond-mat/9904040v1

J.Phys.A: {\bf 32} L25 (1999)

Physics

Condensed Matter

Statistical Mechanics

11pages, 6 figures

Scientific paper

10.1088/0305-4470/32/3/001

The exact solution is obtained for the eigenvalues and eigenvectors of the row-to-row transfer matrix of a two-dimensional vertex model with unlimited number of states per bond. This model is a classical counterpart of a quantum spin chain with an unlimited value of spin. This quantum chain is studied using general predictions of conformal field theory. The long-distance behaviour of some ground-state correlation functions is derived from a finite-size analysis of the gapless excitations.

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