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arXiv:cond-mat/9509100 · Physical Review Letters

Friedel Oscillations for Interacting Fermions in One Dimension

Reinhold Egger, Hermann Grabert

Published Nov 6, 1995• 159 citations
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Abstract

We study Friedel oscillations in one-dimensional electron liquids for arbitrary electron-electron interaction and arbitrary impurity strength. Explicit results for spinless as well as spin- $\frac{1}{2}$ electrons are given. In the case of Luttinger-liquid leads, the Friedel oscillations decay as ${x}^{\ensuremath{-}g}$ far away from the impurity where $g$ is the interaction constant. For a weak scatterer, a slower decay is found at small-to-intermediate distances from the impurity, with a crossover to the asymptotic ${x}^{\ensuremath{-}g}$ decay.

DOI
10.1103/physrevlett.75.3505

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