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Impurity Scattering in Luttinger Liquid with Electron-Phonon Coupling
Igor Yurkevich, the University of Birmingham
17.12.2010 at 10:15
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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