Integrable Kondo impurities in one-dimensional extended Hubbard models

TL;DR

This paper investigates integrable Kondo impurities within one-dimensional extended Hubbard models using advanced algebraic methods, providing explicit solutions and Bethe ansatz equations for these complex quantum systems.

Contribution

It introduces new integrable Kondo impurity models in extended Hubbard systems and derives their exact solutions via the boundary graded quantum inverse scattering method.

Findings

Explicit boundary K matrices depending on impurity moments

Derivation of Bethe ansatz equations for the models

Demonstration of integrability in these impurity models

Abstract

Three kinds of integrable Kondo problems in one-dimensional extended Hubbard models are studied by means of the boundary graded quantum inverse scattering method. The boundary K matrices depending on the local moments of the impurities are presented as a nontrivial realization of the graded reflection equation algebras acting in a $(2 s_\alpha+1)$-dimensional impurity Hilbert space. Further, these models are solved using the algebraic Bethe ansatz method and the Bethe ansatz equations are obtained.