Impurity Scattering in Luttinger Liquid with Electron-Phonon Coupling
arXiv:1008.3270 · doi:10.1103/PhysRevB.83.041106
Abstract
We study the influence of electron-phonon coupling on electron transport through a Luttinger liquid with an embedded weak scatterer or weak link. We derive the renormalization group (RG) equations which indicate that the directions of RG flows can change upon varying either the relative strength of the electron-electron and electron-phonon coupling or the ratio of Fermi to sound velocities. This results in the rich phase diagram with up to three fixed points: an unstable one with a finite value of conductance and two stable ones, corresponding to an ideal metal or insulator.
4 pages, 2 figures
References in corpus (22)
- Luttinger Liquid Behavior in Carbon Nanotubes
- Landauer Conductance of Luttinger Liquids with Leads
- Bosonization for Beginners --- Refermionization for Experts
- Keldysh technique and non-linear sigma-model: basic principles and applications
- Tunneling in One-Dimensional non-Luttinger Electron Liquid
- Instabilities in binary mixtures of one-dimensional quantum degenerate gases
- Luttinger liquid of polarons in one-dimensional boson-fermion mixtures
- Real Space Imaging of One-Dimensional Standing Waves: Direct Evidence for a Luttinger Liquid
- Bosonization of one dimensional fermions out of equilibrium
- Resonant tunneling of interacting electrons in a one-dimensional wire
- Transport of interacting electrons through a double barrier in quantum wires
- Acoustic phonon exchange, attractive interactions, and the Wentzel-Bardeen singularity in single-wall nanotubes
- 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
- Scanning Tunneling Microscopy of a Luttinger Liquid
- Non-equilibrium Luttinger liquid: Zero-bias anomaly and dephasing
- Luttinger liquid behavior in weakly disordered quantum wires
- Functional Integral Bosonization for Impurity in Luttinger Liquid
- Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium
- 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 (7)
- Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons
- Duality in multi-channel Luttinger Liquid with local scatterer
- Local impurity in multichannel Luttinger liquid
- Universal Duality in Luttinger Liquid Coupled to Generic Environment
- Finite frequency noise in chiral Luttinger liquid coupled to phonons
- From Luttinger liquids to Luttinger droplets via higher-order bosonization identities
- Tunneling into a Luttinger-liquid coupled to acoustic phonons out of equilibrium