Exact solution for the Bariev model with boundary fields

Abstract

The Bariev model with open boundary conditions is introduced and analysed in detail in the framework of the Quantum Inverse Scattering Method. Two classes of independent boundary reflecting $K$-matrices leading to four different types of boundary fields are obtained by solving the reflection equations. The models are exactly solved by means of the algebraic nested Bethe ansatz method and the four sets of Bethe ansatz equations as well as their corresponding energy expressions are derived.

28 pages,no figure

References in corpus (10)

• Reflection K-Matrices for 19-Vertex Models
• Algebraic Bethe ansatz for the one-dimensional Hubbard model with open boundaries
• Integrability of the $D_n^2$ vertex models with open boundary
• Exact diagonalization of the generalized supersymmetric t-J model with boundaries
• Integrable supersymmetric correlated electron chain with open boundaries
• Nonstandard coproducts and the Izergin-Korepin open spin chain
• Tunneling singularities in the open Hubbard chain
• Bethe ansatz solution of the closed anisotropic supersymmetric U model with quantum supersymmetry
• Finite XXZ critical chain with double boundaries
• Integrable open supersymmetric U model with boundary impurity

Cited by in corpus (6)

• Bethe ansatz for the XXX-S chain with non-diagonal open boundaries
• A supersymmetric U_{q}[osp(2|2)]-extended Hubbard model with boundary fields
• The algebraic Bethe ansatz for open vertex models
• Thermodynamic properties of an integrable quantum spin ladder with boundary impurities
• The algebraic Bethe ansatz for open A_{2n}^{(2)} vertex model
• Integrable open boundary conditions for the Bariev model of three coupled XY spin chains