Thermal Bethe-Ansatz Method for the One-Dimensional Heisenberg Model

Algebraic Bethe ansatz approach for the one - dimensional Hubbard model

We formulate in terms of the quantum inverse scattering method the algebraic Bethe ansatz solution of the one-dimensional Hubbard model. The method developed is based on a new set of commutation relations which encodes a hidden symmetry of 6-vertex type.

Heisenberg Model, Bethe Ansatz, and Random Walks

Completeness of the SO(4) extended Bethe Ansatz for the One-dimensional Hubbard Model

We show how to construct a complete set of eigenstates of the hamiltonian of the one-dimensional Hubbard model on a lattice of even length L. This is done by using the nested Bethe Ansatz and the SO(4) symmetry of the model. We discuss in detail how the counting of independent eigenstates is carried out.

Lineshape Predictions via Bethe Ansatz for the One-dimensional Spin-1/2 Heisenberg Antiferromagnet in a Magnetic Eld

The spin uctuations parallel to the external magnetic eld in the ground state of the one-dimensional (1D) s = 1 2 Heisenberg antiferromagnet are dominated by a two-parameter set of collective excitations. In a cyclic chain of N sites and magnetization 0 < Mz < N=2, the ground state, which contains 2Mz spinons, is reconngured as the physical vacuum for a diierent species of quasi-particles, iden...

Bethe ansatz for the one-dimensional small-polaron model with open boundary conditions

The one-dimensional small-polaron model with open boundary conditions is considered in the framework of the quantum inverse scattering method. The spin model which is equivalent to the small-polaron model is the Heisenberg XXZ spin chain in an external magnetic field. For spin model, the solutions of the reflection equation (RE) and the dual RE are obtained. The eigenvalues and eigenvectors pro...