Friedel oscillations in Luttinger liquids

Details Friedel oscillations in Luttinger liquids Friedel oscillations in Luttinger liquids

1996-04-04

arxiv.org/abs/cond-mat/9604026v1

Physics

Condensed Matter

26 pages, includes special style file and 7 eps-files, to appear in: "Quantum Transport in Semiconductor Submicron Structures"

Scientific paper

We study the density disturbance of a correlated 1D electron liquid in the presence of a scatterer or a barrier. The 2k_F-periodic density profile away from the barrier (Friedel oscillation) is computed for arbitrary electron--electron interaction and arbitrary impurity strength. We find that in presence of correlations, the Friedel oscillation decays slower than predicted by Fermi liquid theory. In the case of a spinless Luttinger liquid characterized by an interaction constant g<1, the asymptotic decay of the Friedel oscillation is x^-g. For a weak scatterer, the decay is even slower at small-to-intermediate distances from the impurity, with a crossover to the asymptotic x^-g law.

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