Acoustic plasmons and isotropic short-range interaction in two-component electron liquids

TL;DR

This paper investigates the behavior of acoustic plasmons and Landau parameters in two-component electron liquids, revealing how intercomponent screening influences mode propagation and quasiparticle interactions across different dimensions and compositions.

Contribution

It provides a detailed calculation of acoustic plasmons and Landau parameters in two- and three-dimensional two-component electron liquids, highlighting the effects of concentration, mass ratios, and short-range interactions.

Findings

Acoustic plasmons arise at large concentration differences between components.

Intercomponent screening determines mode propagation and interaction strength.

Plasmon-mediated superconductivity is unlikely due to weak effective interactions.

Abstract

Dispersion of acoustic plasmons and isotropic Landau parameters are calculated in three- and two-dimensional two-component electron-electron and electron-hole liquids at various concentration and mass ratios using Landau-Silin kinetic equation and the random phase approximation for the self-energy. It is shown that the mode propagation and the strength of quasiparticle interaction are determined by the intercomponent screening and are asymmetric with respect to charge composition of two-component liquid. The well-defined acoustic plasmon-zero sound mode arises at strong difference in concentrations between components and its renormalization by the short-range exchange-correlation interaction is negligible. The acoustic plasmon mediated interparticle effective interaction in the fast component is weak in both the three- and two-dimensional electron liquids with parabolic dispersion, so the associated plasmonic superconductivity and the formation of acoustic plasmarons are unfavorable.