Eight state supersymmetric $U$ model of strongly correlated fermions

TL;DR

This paper introduces an exactly solvable eight-state supersymmetric fermion model with complex correlated hoppings, characterized by $gl(3|1)$ symmetry, and derives its Bethe ansatz equations.

Contribution

It presents a new integrable supersymmetric fermion model with correlated hoppings and provides its exact solution and Bethe ansatz equations.

Findings

Model exhibits $gl(3|1)$ supersymmetry.

Contains a free parameter preserving symmetry.

Exact Bethe ansatz equations derived.

Abstract

An integrable eight state supersymmtric $U$ model is proposed, which is a fermion model with correlated single-particle and pair hoppings as well as uncorrelated triple-particle hopping. It has an $gl(3|1)$ supersymmetry and contains one symmetry-preserving free parameter. The model is solved and the Bethe ansatz equations are obtained.