Description of the Energy Eigenstates of the 1D Hubbard Model in Terms of Rotated-Electron Site Distribution Configurations

TL;DR

This paper characterizes the energy eigenstates of the 1D Hubbard model using rotated-electron configurations, introducing pseudoparticles, holons, and spinons, and demonstrating their application in spectral function calculations.

Contribution

It introduces a new local pseudoparticle framework for the 1D Hubbard model based on rotated electrons, linking exotic quasiparticles to original electrons.

Findings

Provides a detailed description of energy eigenstates in terms of rotated-electron configurations.

Introduces local pseudoparticle and effective pseudoparticle lattices.

Demonstrates application in finite-energy spectral function calculations.

Abstract

In this paper we describe the pseudoparticles, holons, and spinons whose occupancy configurations describe the energy eigenstates of the one-dimensional (1D) Hubbard model in terms of rotated electrons. Rotated electrons are related to electrons by a mere unitary transformation such that rotated electron double occupation is a good quantum number. Moreover, we introduce the concepts of local pseudoparticle and effective pseudoparticle lattice. Our findings provide useful information about the relation of the exotic pseudoparticles, holons, and spinons that diagonalize the non-perturbative many-electron problem to the original electrons. We provide an example showing how the derived local pseudoparticle representation can be used in the evaluation of finite-energy few-electron spectral function expressions.