On the solution of a supersymmetric model of correlated electrons

TL;DR

This paper presents an exact solution to a correlated electron model using superalgebra $Osp(2|2)$, deriving Bethe ansatz equations, ground state energy, and transfer matrix eigenvalues.

Contribution

It introduces an exact solution framework for a supersymmetric correlated electron model based on superalgebra $Osp(2|2)$, including Bethe ansatz equations and eigenvalues.

Findings

Derived Bethe ansatz equations with interesting form

Obtained an explicit expression for ground state energy at half filling

Calculated eigenvalues of the transfer matrix

Abstract

We consider the exact solution of a model of correlated electrons based on the superalgebra $Osp(2|2)$. The corresponding Bethe ansatz equations have an interesting form. We derive an expression for the ground state energy at half filling. We also present the eigenvalue of the transfer matrix commuting with the Hamiltonian.