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Journal of Physics A Mathematical and General

Exact solution of an N-sublattice vertex model

R. Z. Bariev, Trong Tuong Truong, Loïc Turban

Published May 7, 1992• 5 citations
Publisher

Abstract

The exact diagonalization of the diagonal-to-diagonal transfer matrix of an N-sublattice vertex model with interactions of the vertex-arrow type between sublattices is carried out using the generalized nested Bethe-ansatz method. An exact expression for the free energy is obtained involving the solution of an integral equation which is studied numerically.

DOI
10.1088/0305-4470/25/9/010

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The exact diagonalization of the diagonal-to-diagonal transfer matrix of an N-sublattice vertex model with interactions of the vertex-arrow type between sublattices is carried out using the generalized nested Bethe-ansatz method. An exact expression for the free energy is obtained involving the solution of an integral equation which is studied numerically.
Exact solution of the SUq(n)SU_{q}(n)SUq​(n) invariant quantum spin chains
The Nested Bethe Ansatz is generalized to open boundary conditions. This is used to find the exact eigenvectors and eigenvalues of the An−1A_{n-1}An−1​ vertex model with fixed open boundary conditions and the corresponding SUq(n)SU_{q}(n)SUq​(n) invariant hamiltonian. The Bethe Ansatz equations obtained are solved in the thermodynamic limit giving the vertex model free energy and the hamiltonian ground state energy including the corresponding boundary contributions.