Quasi-classical descendants of disordered vertex models with boundaries
Abstract
We study descendants of inhomogeneous vertex models with boundary reflections when the spin-spin scattering is assumed to be quasi--classical. This corresponds to consider certain power expansion of the boundary-Yang-Baxter equation (or reflection equation). As final product, integrable -spin chains interacting with a long range with anisotropy are obtained. The spin-spin couplings are non uniform, and a non uniform tunable external magnetic field is applied; the latter can be obtained when the boundary conditions are assumed to be quasi-classical as well. The exact spectrum is achieved by algebraic Bethe ansatz. Having realized the operators in terms of fermions, the class of models we found turns out to describe confined fermions with pairing force interactions. The class of models presented in this paper is a one-parameter extension of certain Hamiltonians constructed previously. Extensions to -spin open chains are discussed.
Cite
@article{arxiv.cond-mat/0206521,
title = {Quasi-classical descendants of disordered vertex models with boundaries},
author = {Antonio Di Lorenzo and Luigi Amico and Kazuhiro Hikami and Andreas Osterloh and Gaetano Giaquinta},
journal= {arXiv preprint arXiv:cond-mat/0206521},
year = {2007}
}
Comments
27 pages; 2 eps figures; elsart. Revised version, appendix C added