Exactly solvable extended Hubbard model

TL;DR

This paper introduces and analyzes two long-range, integrable versions of the extended Hubbard model on both non-uniform and uniform lattices, providing exact solutions for their ground states and energy spectra.

Contribution

It presents two new exactly solvable long-range extended Hubbard models on different lattice types, expanding the class of integrable many-body systems.

Findings

Both models are proven to be integrable.

Exact ground states and energy spectra are derived.

The models extend the understanding of long-range interactions in Hubbard systems.

Abstract

In this work, we introduce long range version of the extended Hubbard model. The system is defined on a non-uniform lattice. We show that the system is integrable. The ground state, the ground state energies, the energy spectrum are also found for the system. Another long range version of the extended Hubbard model is also introduced on a uniform lattice, and this system is proven to be integrable.