Do correlations create an energy gap in electronic bilayers? Critical analysis of different approaches

TL;DR

This paper critically examines how correlations affect the energy gap in electronic bilayers, showing that proper damping considerations eliminate the previously predicted energy gap.

Contribution

It provides a critical analysis demonstrating that neglecting damping overestimates correlation effects, leading to the conclusion that no energy gap exists when damping is properly included.

Findings

Neglecting damping overestimates correlation effects

Proper damping consideration removes the predicted energy gap

The classical theory of moments effectively models collective modes

Abstract

This paper investigates the effect of correlations in electronic bilayers on the longitudinal collective mode structure. We employ the dielectric permeability constructed by means of the classical theory of moments. It is shown that the neglection of damping processes overestimates the role of correlations. We conclude that the correct account of damping processes leads to an absence of an energy gap.