Complex Electronic Behavior in a 1D Correlated Quantum Liquid

TL;DR

This paper clarifies the relationship between rotated-electron configurations and Bethe ansatz quantum numbers in the 1D Hubbard model, revealing microscopic mechanisms behind complex spectral properties in low-dimensional materials.

Contribution

It introduces local pseudoparticles and effective pseudoparticle lattices to connect microscopic electron configurations with momentum space descriptions in the 1D Hubbard model.

Findings

Clarifies the relation between rotated-electron and Bethe ansatz configurations.

Introduces concepts of local pseudoparticles and effective pseudoparticle lattices.

Provides insights into the microscopic origins of anomalous spectral properties.

Abstract

The relation of the rotated-electron site distribution configurations that describe the energy eigenstates of the one-dimensional Hubbard model to the momentum occupancy configurations of the same states associated with the Bethe ansatz quantum numbers is clarified. Our study involves the introduction of the concepts of a local pseudoparticle and an effective pseudoparticle lattice, needed for the relation of both the local pseudoparticle internal structure and the pseudoparticle occupancy configurations to the rotated-electron site distribution configurations. Our results provide further useful information about the microscopic mechanisms behind the anomalous finite-energy spectral properties of low-dimensional complex materials.