Graphene n-p junction in a strong magnetic field: a semiclassical study

TL;DR

This paper offers a semiclassical analysis of electron transport in graphene n-p junctions under strong magnetic fields, elucidating conductance behavior through snake-like trajectories and connecting theory with recent experimental observations.

Contribution

It introduces a semiclassical framework for analyzing conductance in graphene n-p junctions, emphasizing snake-like trajectories and simplifying the understanding of experimental results.

Findings

Conductance can be described by snake-like trajectories at the interface.

A simple scattering approach recovers the general results for symmetric junctions.

The study provides insights relevant to recent experimental observations.

Abstract

We provide a semiclassical description of the electronic transport through graphene n-p junctions in the quantum Hall regime. A semiclassical approximation for the conductance is derived in terms of the various snake-like trajectories at the interface of the junction. For a symmetric (ambipolar) configuration, the general result can be recovered by means of a simple scattering approach, providing a very transparent qualitative description of the problem under study. Consequences of our findings for the understanding of recent experiments are discussed.