Quantum Wire Hybridized with a Single-Level Impurity

Lerner, Igor V.; Yudson, Vladimir I.; Yurkevich, Igor V.

Quantum Wire Hybridized with a Single-Level Impurity

Authors

Lerner, Igor V.

Yudson, Vladimir I.

Yurkevich, Igor V.

Description

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, $\mathcal{T}(\varepsilon)$, and a local density of states, $ν(\varepsilon)$ at low energies $\varepsilon $. In particular, we have found that the antiresonance in $\mathcal{T}(\varepsilon)$ has a generalized Breit-Wigner shape with the effective width $Γ(\varepsilon)$ which diverges at the Fermi level.
4 pages, 1 figure; final version as published