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Electroneutrality and the Friedel sum rule in a Luttinger liquid

Reinhold Egger·Hermann Grabert
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Abstract

Screening in one-dimensional metals is studied for arbitrary electron-electron interactions. It is shown that for finite-range interactions (Luttinger liquid) electroneutrality is violated. This apparent inconsistency can be traced to the presence of external screening gates responsible for the effectively short-ranged Coulomb interactions. We also draw attention to the breakdown of linear screening for wavevectors close to 2 K_f.

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Reinhold Egger, Hermann Grabert. 1997-09-04. Electroneutrality and the Friedel sum rule in a Luttinger liquid. https://doi.org/10.1103/physrevlett.79.3463

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