Electrostatic and Magnetic Fields in Bilayer Graphene

TL;DR

This paper analyzes how magnetic and electric fields affect electron transmission in bilayer graphene, considering full band contributions and various potential barriers, revealing resonance phenomena and mode-dependent transport behaviors.

Contribution

It provides a comprehensive calculation of transmission probabilities in bilayer graphene under combined fields, including full four-band effects and barrier geometry influences.

Findings

Transmission resonances occur at energies below barrier height.

Two propagation modes exist for energies above interlayer coupling.

Barrier geometry significantly influences transmission probabilities.

Abstract

We compute the transmission probability through rectangular potential barriers and p-n junctions in the presence of a magnetic and electric fields in bilayer graphene taking into account contributions from the full four bands of the energy spectrum. For energy $E$ higher than the interlayer coupling $\gamma_1$ ($E > \gamma_1$) two propagation modes are available for transport giving rise to four possible ways for transmission and reflection coefficients. However, when the energy is less than the height of the barrier the Dirac fermions exhibit transmission resonances and only one mode of propagation is available for transport. We study the effect of the interlayer electrostatic potential denoted by $\delta$ and variations of different barrier geometry parameters on the transmission probability.