Integrable Electron Model with Correlated Hopping and Quantum Supersymmetry

TL;DR

This paper introduces a quantum integrable electron model extending the Hubbard model with correlated hopping, exhibiting quantum supersymmetry and solvable via the quantum inverse scattering method.

Contribution

It presents a new integrable electron model with correlated hopping terms and quantum superalgebra symmetry, expanding the class of solvable models.

Findings

Model is invariant under quantum superalgebra $U_q(gl(2|1))$

Model is integrable in one dimension

Provides a framework for studying correlated electron systems

Abstract

We give the quantum analogue of a recently introduced electron model which generalizes the Hubbard model with additional correlated hopping terms and electron pair hopping. The model contains two independent parameters and is invariant with respect to the quantum superalgebra $U_q(gl(2|1))$. It is integrable in one dimension by means of the quantum inverse scattering method.