The effect of the electron-electron interaction on the Lifshitz transition density in bilayer graphene

TL;DR

This paper investigates how electron-electron interactions influence the effective mass, trigonal warping, and the critical density of the Lifshitz transition in bilayer graphene, revealing a slight reduction in transition density.

Contribution

It provides a theoretical analysis of the renormalization effects of electron-electron interactions on the Lifshitz transition in bilayer graphene.

Findings

Electron-electron interactions cause a small reduction in the Lifshitz transition density.

Renormalization affects the effective mass and trigonal warping in bilayer graphene.

The study enhances understanding of electronic properties in bilayer graphene.

Abstract

We study the renormalization of the effective mass and trigonal warping of bilayer graphene by the electron-electron interaction. One consequence of such a renormalization in the low-energy bands of a bilayer crystal consists of a small reduction of the critical density of the Lifshitz transition (the crossover between the single-pocket and four-pocket topology of the Fermi surface).