Quantum Wire Hybridized with a Single-Level Impurity

Abstract

We have studied low-temperature properties of interacting electrons in a one-dimensional quantum wire (Luttinger liquid) side-hybridized with a single-level impurity. The hybridization induces a back-scattering of electrons in the wire which strongly affects its low energy properties. Using a one-loop renormalization group approach valid for a weak electron-electron interaction, we have calculated a transmission coefficient through the wire, $\mathcal{T}(\epsilon )$, and a local density of states, $\nu (\epsilon )$ at low energies $\epsilon$. In particular, we have found that the antiresonance in $\mathcal{T}(\epsilon )$ has a generalized Breit-Wigner shape with the effective width $\Gamma (\epsilon )$ which diverges at the Fermi level.

4 pages, 1 figure; final version as published

References in corpus (3)

• Correlation effects on resonant tunneling in one-dimensional quantum wires
• Charging of a quantum dot coupled to Luttinger liquid leads
• Measuring Luttinger Liquid Correlations from Charge Fluctuations in a Nanoscale Structure