Integrable model of interacting XX and Fateev-Zamolodchikov chains

TL;DR

This paper presents an exact solution for a correlated particle model combining XX and Fateev-Zamolodchikov chains, generalizing the multiband anisotropic t-J model, using Bethe-ansatz techniques.

Contribution

It introduces an integrable model of interacting chains and provides its exact eigenvalues and eigenvectors, extending previous models in condensed matter physics.

Findings

Exact eigenvalues and eigenvectors derived

Model generalizes multiband anisotropic t-J model

Solution confirms integrability of the combined chains

Abstract

We consider the exact solution of a model of correlated particles, which is presented as a system of interacting XX and Fateev-Zamolodchikov chains. This model can also be considered as a generalization of the multiband anisotropic $t-J$ model in the case we restrict the site occupations to at most two electrons. The exact solution is obtained for the eigenvalues and eigenvectors using the Bethe-ansatz method.