Pseudoparticle Description of the 1D Hubbard Model Electronic Transport Properties

TL;DR

This paper extends the pseudoparticle transport framework of the 1D Hubbard model to all energy scales, providing new insights into electric current and optical conductivity, with numerical validation at specific interaction strengths.

Contribution

It introduces a comprehensive pseudoparticle transport description applicable at all energy scales and computes key transport properties with numerical results.

Findings

Good agreement between pseudoparticle predictions and numerical optical conductivity data.

Transport masses of charge carriers are characterized across energy scales.

Finite-energy transitions involve new pseudoparticle energy bands.

Abstract

We extend the pseudoparticle transport description of the Hubbard chain to all energy scales. In particular we compute the mean value of the electric current transported by any Bethe-ansatz state and the transport masses of the charge carriers. We present numerical results for the optical conductivity of the model at half-filling for values of U/t=3 and 4. We show that these are in good agreement with the pseudoparticle description of the finite-energy transitions involving new pseudoparticle energy bands.