Integrability and exact solution of an electronic model with long range interactions

TL;DR

This paper introduces an exactly solvable electronic model with long-range interactions, establishing its integrability via quantum inverse scattering and deriving energy spectra using Bethe ansatz.

Contribution

It presents a new integrable electronic model with long-range interactions and derives its eigenvalues using advanced algebraic methods.

Findings

Model is integrable via quantum inverse scattering

Eigenvalues obtained through Bethe ansatz

Energy spectrum explicitly derived

Abstract

We present an electronic model with long range interactions. Through the quantum inverse scattering method, integrability of the model is established using a one-parameter family of typical irreducible representations of gl(2|1). The eigenvalues of the conserved operators are derived in terms of the Bethe ansatz, from which the energy eigenvalues of the Hamiltonian are obtained.