Electron backscattering from dynamical impurities in a Luttinger liquid

2004/09/22 by Pablo San-Jose, Pablo San-José, F. Guinea +2 · 2 citations
Physics and Astronomy · #Mechanical and Optical Resonators #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.72.165427

6 pages, 6 figures. Corrected references, did not compile

arxiv created 2004/09/22 · openalex publication_date 2005/10/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Electron backscattering in a Luttinger liquid with an impurity is investigated in the presence of zero point motion of the phonon lattice. The impurity can mean either a mass defect, an elastic defect, or a pinning defect. The phonon spectrum is then affected by the presence of the defect, which enters in the renormalization group (RG) equations for backscattering. The RG equation becomes dependent on the energy cutoff for finite Debye frequency \ensuremathω_D giving rise to finite energy effects. We compute the local density of states and show how the renormalization group flow is affected by a finite \ensuremathω_D.

Citations

• The Interaction of Lattice Vibrations with Electrons in a Metal
• Plastic deformations in mechanically strained single-walled carbon nanotubes

Cited by

• Local impurity in a multichannel Luttinger liquid
• Impurity scattering in a Luttinger liquid with electron-phonon coupling