Influence of the contacts on the conductance of interacting quantum wires

Abstract

We investigate how the conductance G through a clean interacting quantum wire is affected by the presence of contacts and noninteracting leads. The contacts are defined by a vanishing two-particle interaction to the left and a finite repulsive interaction to the right or vice versa. No additional single-particle scattering terms (impurities) are added. We first use bosonization and the local Luttinger liquid picture and show that within this approach G is determined by the properties of the leads regardless of the details of the spatial variation of the Luttinger liquid parameters. This generalizes earlier results obtained for step-like variations. In particular, no single-particle backscattering is generated at the contacts. We then study a microscopic model applying the functional renormalization group and show that the spatial variation of the interaction produces single-particle backscattering, which in turn leads to a reduced conductance. We investigate how the smoothness of the contacts affects G and show that for decreasing energy scale its deviation from the unitary limit follows a power law with the same exponent as obtained for a system with a weak single-particle impurity placed in the contact region of the interacting wire and the leads.

10 page, 4 figures included, minor changes in the summary, version accepted for publication in PRB

References in corpus (1)

• Impurity and correlation effects on transport in one-dimensional quantum wires

Cited by in corpus (4)

• Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquids
• Spin-polarized currents through interacting quantum wires with nonmagnetic leads
• Temperature dependence of Coulomb drag between finite-length quantum wires
• Nonlinear transport through a dynamic impurity in a strongly interacting one-dimensional electron gas