Algebraic Bethe ansatz for a class of coupled asymmetric six-vertex free-fermion model

Abstract

We present an algebraic Bethe ansatz for certain submanifolds of the bilayer vertex models proposed by Shiroishi and Wadati as coupled asymmetric six-vertex free-fermion models. A peculiar feature of our formulation is the presence of a diagonal monodromy matrix element that does not generate unwanted terms. The model contains two free-parameters entering into the Bethe ansatz equations as a pure phase factor.

Latex, 11 pages

References in corpus (3)

• Algebraic Bethe Ansatz for gl(2,1) Invariant 36-Vertex Models
• One parameter family of an integrable $spl(2|1)$ vertex model : Algebraic Bethe ansatz approach and ground state structure
• Algebraic Bethe ansatz approach for the one-dimensional Hubbard model