Impurity Scattering in Luttinger Liquid with Electron-Phonon Coupling

Details Impurity Scattering in Luttinger Liquid with Electron-Phonon Coupling Impurity Scattering in Luttinger Liquid with Electron-Phonon Coupling

2010-08-19

arxiv.org/abs/1008.3270v1

Phys. Rev. B 83, 041106(R) (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures

Scientific paper

10.1103/PhysRevB.83.041106

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.

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