1996/04/04 by Reinhold Egger, Egger, Reinhold, Hermann Grabert +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9604026
26 pages, includes special style file and 7 eps-files, to appear in: "Quantum Transport in Semiconductor Submicron Structures", edited by B. Kramer, NATO-ASI Series E (Kluwer, Dordrecht, 1996)
arxiv created 1996/04/04 · openalex publication_date 1996/04/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the density disturbance of a correlated 1D electron liquid in the presence of a scatterer or a barrier. The 2kF-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.