Effect of electron-phonon coupling on transmission through Luttinger liquid hybridized with resonant level

Abstract

We show that electron-phonon coupling strongly affects transport properties of the Luttinger liquid hybridized with a resonant level. Namely, this coupling significantly modifies the effective energy-dependent width of the resonant level in two different geometries, corresponding to the resonant or antiresonant transmission in the Fermi gas. This leads to a rich phase diagram for a metal-insulator transition induced by the hybridization with the resonant level.

6 pages, 3 figures

References in corpus (22)

• Luttinger Liquid Behavior in Carbon Nanotubes
• Bosonization for Beginners --- Refermionization for Experts
• Franck-Condon blockade in suspended carbon nanotube quantum dots
• Tunneling in suspended carbon nanotubes assisted by longitudinal phonons
• Tunneling in One-Dimensional non-Luttinger Electron Liquid
• Friedel Oscillations and Charge Density Waves in Chains and Ladders
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• Friedel oscillations for interacting fermions in one dimension
• Luttinger liquid of polarons in one-dimensional boson-fermion mixtures
• One-dimensional conduction in Charge-Density Wave nanowires
• Electron Transport in a Multi-Channel One-Dimensional Conductor: Molybdenum Selenide Nanowires
• Real Space Imaging of One-Dimensional Standing Waves: Direct Evidence for a Luttinger Liquid
• Resonant tunneling of interacting electrons in a one-dimensional wire
• Transport of interacting electrons through a double barrier in quantum wires
• Wentzel-Bardeen singularity and phase diagram for interacting electrons coupled to acoustic phonons in one dimension
• Occupation of a resonant level coupled to a chiral Luttinger liquid
• Luttinger liquid behavior in weakly disordered quantum wires
• Functional Integral Bosonization for Impurity in Luttinger Liquid
• Local Perturbation in a Tomonaga-Luttinger Liquid at g=1/2
• Quantum Wire Hybridized with a Single-Level Impurity
• Duality between different geometries of a resonant level in a Luttinger liquid
• Electron backscattering from dynamical impurities in a Luttinger liquid

Cited by in corpus (6)

• Duality in multi-channel Luttinger Liquid with local scatterer
• Local impurity in multichannel Luttinger liquid
• Driven quantum dot coupled to a fractional quantum Hall edge
• Universal Duality in Luttinger Liquid Coupled to Generic Environment
• Finite frequency noise in chiral Luttinger liquid coupled to phonons
• Transparency enhancement in a double-barrier structure by the Fano antiresonance