Impurity scattering in Luttinger liquid with electron-phonon coupling

Alexey Galda, Igor Yurkevich, Igor V. Lerner

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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.
Original languageEnglish
Article number12049
Number of pages7
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 4 Apr 2011
EventCondensed Matter and Materials Physics Conference (CMMP10) - Warwick, United Kingdom
Duration: 14 Dec 201016 Dec 2010

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