Classical and quantum magneto-oscillations of current flow near a p-n junction in graphene

TL;DR

This paper presents a semiclassical theory predicting two types of magneto-oscillations in current flow near a p-n junction in graphene, involving classical cyclotron orbit effects and quantum interference phenomena.

Contribution

It introduces a unified semiclassical framework describing both classical and quantum magneto-oscillations in graphene p-n junctions under strong magnetic fields.

Findings

Oscillations depend on cyclotron orbit bunching and commensurability.

Quantum interference causes magneto-oscillations similar to Shubnikov-de Haas.

The theory explains oscillation patterns in current transmission.

Abstract

The proposed semiclassical theory predicts two types of oscillations in the flow of current injected from a point source near a ballistic p-n junction in graphene in a strong magnetic field. One originates from the classical effect of bunching of cyclotron orbits of electrons passing back and forth across the p-n interface, which displays a pronounced dependence on the commensurability between the cyclotron radii in the n- and p-regions. The other effect is caused by the interference of monochromatic electron waves in p-n junctions with equal carrier densities on the two sides and it consists in magneto-oscillations in the current transmission through the interface with periodicity similar to Shubnikov-de Haas oscillations.