Electroneutrality and the Friedel sum rule in a Luttinger liquid
Reinhold Egger, Hermann Grabert
TL;DR
This paper investigates screening in one-dimensional metals with electron-electron interactions, revealing that electroneutrality is violated in Luttinger liquids with finite-range interactions, especially near wavevector 2K_f, due to external screening gates.
Contribution
It demonstrates the violation of electroneutrality in Luttinger liquids with finite-range interactions and links this to external screening gates affecting Coulomb interactions.
Findings
Electroneutrality is violated in Luttinger liquids with finite-range interactions.
Breakdown of linear screening occurs near wavevector 2K_f.
External screening gates influence effective Coulomb interactions.
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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