Transport of one-dimensional interacting Fermions through a barrier

TL;DR

This paper investigates how electron interactions and spin influence the transport properties of one-dimensional Fermion systems, revealing that spin and interaction type significantly affect conductance through a barrier.

Contribution

It provides a numerical comparison of transport in 1D Hubbard and spinless Fermion models, highlighting the role of spin and interaction sign on conductance.

Findings

Attractive interactions suppress DC conductance in the Hubbard model.

Small repulsive interactions enhance DC conductance.

Spin degrees of freedom significantly influence transport properties.

Abstract

We study the transport properties of one-dimensional (1D) interacting Fermions through a barrier by numerically calculating the Kohn charge stiffness constant and the relative Drude weight. We find that the transport properties of the 1D Hubbard model are quite different from those of the 1D spinless Fermion model. For example, the presence of the attractive interaction between electrons in the 1D Hubbard model actually {\em suppresses} the DC conductance, while a small repulsive interaction {\em enhances} the DC conductance. These results show that the spin degree of freedom plays an important role in the transport properties of the 1D interacting Fermion systems.