Ground state and excitations of the extended Hubbard model

TL;DR

This paper investigates the ground state and excitations of a one-dimensional extended Hubbard model with long-range interactions, proposing an exact solution based on a Jastrow product and asymptotic Bethe-ansatz.

Contribution

It introduces an explicit form of ground state wavefunctions and low-lying excitations, and provides evidence for an exact Bethe-ansatz solution for the model.

Findings

Explicit ground state wavefunctions and excitations derived

Asymptotic Bethe-ansatz proposed and supported as exact

Solution spans the complete spectrum of the model

Abstract

We examine the ground state and excitations of the one dimensional extended Hubbard model with long range interaction. The ground state wavefunctions and low lying excitations are given explicitly in the form of a Jastrow product of two body terms. This results motivates an asymptotic Bethe-ansatz for the model. We present evidence that this solution is in fact exact and spans the complete spectrum of states.