Friedel oscillations in a Luttinger liquid with long-range interactions

Abstract

We introduce a path-integral approach that allows to compute charge density oscillations in a Luttinger liquid with impurities. We obtain an explicit expression for the envelope of Friedel oscillations in the presence of arbitrary electron-electron potentials. As examples, in order to illustrate the procedure, we show how to use our formula for contact and Coulomb potentials.

11 pages, no figures, latex. Revised version to appear in PRB

References in corpus (4)

• Unscreened Coulomb repulsion in the one dimensional electron gas
• Exact electronic Green functions in a Luttinger liquid with long-range interactions
• Non-local Thirring model at finite-temperature
• Bosonic description of a Tomonaga-Luttinger model with impurities

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• Functional Integral Bosonization for Impurity in Luttinger Liquid
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• Real-space dynamical mean-field theory of Friedel oscillations in strongly correlated electron systems
• The Quantum Steeplechase
• Effect of nonadiabatic switching of dynamic perturbations in 1d Fermi systems
• Friedel oscillations and dynamical density of states of an inhomogeneous Luttinger liquid
• Weak localization and magnetoresistance in a two-leg ladder model