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Friedel oscillations for interacting fermions in one dimension

Reinhold Egger·Hermann Grabert
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Abstract

We study Friedel oscillations in one-dimensional electron liquid for arbitrary electron-electron interaction and arbitrary impurity strength. For Luttinger liquid leads, the Friedel oscillations decay as x^-g far away from the impurity, where g is the interaction constant. For a weak scatterer, a slower decay is found at intermediate distances from the impurity, with a crossover to the asymptotic x^-g law.

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Reinhold Egger, Hermann Grabert. 1995-09-16. Friedel oscillations for interacting fermions in one dimension. https://doi.org/10.1103/physrevlett.75.3505

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