Integrable impurities for an open fermion chain
Exactly Solvable and Integrable Systems
2009-10-31 v2
Abstract
Employing the graded versions of the Yang-Baxter equation and the reflection equations, we construct two kinds of integrable impurities for a small-polaron model with general open boundary conditions: (a) we shift the spectral parameter of the local Lax operator at arbitrary sites in the bulk, and (b) we embed the impurity fermion vertex at each boundary of the chain. The Hamiltonians with different types of impurity terms are given explicitly. The Bethe ansatz equations, as well as the eigenvalues of the Hamiltonians, are constructed by means of the quantum inverse scattering method. In addition, we discuss the ground-state properties in the thermodynamic limit.
Cite
@article{arxiv.nlin/0001040,
title = {Integrable impurities for an open fermion chain},
author = {X. -W. Guan and U. Grimm and R. A. Roemer and Michael Schreiber},
journal= {arXiv preprint arXiv:nlin/0001040},
year = {2009}
}
Comments
20 pages, 4 figures