Abstract
We study the density disturbance of a correlated one-dimensional electron liquid in the presence of a scatterer or a barrier. The 2k F -periodic density profile away from the barrier (Priedel 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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© 1996 Kluwer Academic Publishers
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Egger, R., Grabert, H. (1996). Friedel Oscillations in Luttinger Liquids. In: Kramer, B. (eds) Quantum Transport in Semiconductor Submicron Structures. NATO ASI Series, vol 326. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1760-6_5
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DOI: https://doi.org/10.1007/978-94-009-1760-6_5
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