Weiss oscillations in the magnetoconductivity of modulated graphene bilayer

TL;DR

This paper provides a theoretical analysis of Weiss oscillations in the magnetoconductivity of bilayer graphene, revealing unique phase differences and temperature robustness compared to monolayer graphene and traditional 2DEG systems.

Contribution

It introduces a detailed theoretical model for Weiss oscillations in bilayer graphene and compares their behavior with monolayer graphene and 2DEG systems.

Findings

Weiss oscillations are enhanced and more temperature-robust in bilayer graphene.

Phase differences of π and 2π are observed in oscillations due to quasiparticle chirality.

Compared to monolayer graphene, bilayer graphene shows less robustness to temperature effects.

Abstract

We present a theoretical study of Weiss oscillations in magnetoconductivity of bilayer graphene. Bilayer graphene in the presence of a perpendicular magnetic field and a unidirectional weak electric modulation is considered.We determine the $\sigma_{yy}$ component of the magnetoconductivity tensor for this system which is shown to exhibit Weiss oscillations. We show that Weiss oscillations in the magnetoconductivity of bilayer graphene are enhanced and more robust with temperature compared to those in conventional two-dimensional electron gas systems whereas they are less robust with temperature compared to monolayer graphene. In addition, we also find phase differences of $\pi$ and $2\pi$ in the magnetoconductivity oscillations compared to monolayer graphene and conventional 2DEG system which arises due to the chiral nature of quasiparticles in graphene.