Transport Properties of One-Dimensional Hubbard Models

TL;DR

This paper investigates the transport properties of one-dimensional Hubbard models at various temperatures and fillings, using Quantum Monte Carlo and Bethe ansatz, revealing insights into Drude weight behavior and challenging existing conjectures.

Contribution

It provides a comprehensive analysis of Drude weight and Meissner fraction in Hubbard models, including finite temperature effects and the role of integrability, using advanced numerical and analytical methods.

Findings

Drude weight is well-defined via imaginary frequency extrapolation at finite temperature.

Temperature, filling, and system size significantly influence transport properties.

Counterexamples to the link between dissipationless transport and integrability are identified.

Abstract

We present results for the zero and finite temperature Drude weight D(T) and for the Meissner fraction of the attractive and the repulsive Hubbard model, as well as for the model with next nearest neighbor repulsion. They are based on Quantum Monte Carlo studies and on the Bethe ansatz. We show that the Drude weight is well defined as an extrapolation on the imaginary frequency axis, even for finite temperature. The temperature, filling, and system size dependence of D is obtained. We find counterexamples to a conjectured connection of dissipationless transport and integrability of lattice models.