Complete Solution of a Supersymmetric Extended Hubbard Model

TL;DR

This paper presents a complete exact solution for the $SU(2|2)$ extended Hubbard model on a 1D lattice, providing all eigenstates and advancing understanding of supersymmetric strongly correlated systems.

Contribution

It offers the first complete set of eigenstates for the supersymmetric extended Hubbard model, enabling detailed analysis of its quantum properties.

Findings

All $4^L$ eigenstates explicitly constructed.

The solution confirms the model's integrability and supersymmetry.

Provides a foundation for studying physical phenomena in supersymmetric lattice models.

Abstract

We show that the recently constructed exact solution of the $SU(2|2)$ extended Hubbard model on a one-dimensional lattice provides a complete set of $4^L$ eigenstates of the hamiltonian, where $L$ is the length of the lattice.