Impurity scattering in a Luttinger liquid with electron-phonon coupling


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 a 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.

Publication DOI:
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: © 2010 The American Physical Society
Publication ISSN: 1550-235X
Last Modified: 28 Jun 2024 08:30
Date Deposited: 10 Jan 2013 09:33
Full Text Link: http://link.aps ... sRevB.83.041106
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2011-01-26
Authors: Galda, Alexey
Yurkevich, Igor (ORCID Profile 0000-0003-1447-8913)
Lerner, Igor V.



Version: Draft Version

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