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

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• Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons
• One-dimensional transport of bosons between weakly linked reservoirs
• Charge and energy fractionalization mechanism in one-dimensional channels
• Duality in multi-channel Luttinger Liquid with local scatterer
• Effect of a Coulombic dot-lead coupling on the dynamics of a quantum dot
• Interacting resonant level coupled to a Luttinger liquid: Population vs. density of states
• Capacitance of a resonant level coupled to Luttinger liquids
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• Quantum Dot in Interacting Environments
• Transport through a quantum dot with two parallel Luttinger liquid leads
• Impurity Scattering in Luttinger Liquid with Electron-Phonon Coupling
• Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads
• Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots
• Transport through a quantum dot with excitonic dot-lead coupling
• Density of states of a dissipative quantum dot coupled to a quantum wire
• Effect of electron-phonon coupling on transmission through Luttinger liquid hybridized with resonant level
• Hong-Ou-Mandel Interference with a Single Atom
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Transparency enhancement in a double-barrier structure by the Fano antiresonance