Electron Correlations in Bilayer Graphene

TL;DR

This paper investigates electron correlations in bilayer graphene, deriving analytical expressions for key properties and analyzing their dependence on electron density and bias potential, providing foundational insights into correlated electronic systems.

Contribution

It presents an analytical approach to understanding electron correlations in bilayer graphene, including expressions for the radial distribution function and structure factor, with insights into their insensitivity to density and bias.

Findings

Pair-correlation function is nearly insensitive to electron density.

Inter-layer bias potential has negligible effect on correlations.

Provides a basis for studying fully-interacting bilayer graphene.

Abstract

The nature of electron correlations in bilayer graphene has been investigated. An analytic expression for the radial distribution function is derived for an ideal electron gas and the corresponding static structure factor is evaluated. We also estimate the interaction energy of this system. In particular, the functional form of the pair-correlation function was found to be almost insensitive to the electron density in the experimentally accessible range. The inter-layer bias potential also has a negligible effect on the pair-correlation function. Our results offer valuable insights into the general behavior of the correlated systems and serve as an essential starting-point for investigation of the fully-interacting system.