# Mesoscopic valley filter in graphene Corbino disk containing a p-n junction

## TL;DR

This paper demonstrates a mesoscopic valley filter in graphene Corbino disks with p-n junctions, where magnetic fields and electric fields control valley-specific current propagation without relying on edge states.

## Contribution

It introduces a valley filtering mechanism in ballistic graphene Corbino geometries using magnetic and electric fields, avoiding atomic-scale edge effects.

## Key findings

- Current propagates unidirectionally at high magnetic fields
- Valley currents can be selectively suppressed or enhanced
- The filtering mechanism is explained by effective Dirac theory

## Abstract

The Corbino geometry allows one to investigate the propagation of electric current along a p-n interface in ballistic graphene in the absence of edge states appearing for the familiar Hall-bar geometry. Using the transfer matrix in the angular-momentum space we find that for sufficiently strong magnetic fields the current propagates only in one direction, determined by the magnetic field direction and the interface orientation, and the two valleys, K and K', are equally occupied. Spatially-anisotropic effective mass may suppress one of the valley currents, selected by the external electric field, transforming the system into a mesoscopic version of the valley filter. The filtering mechanism can be fully understood within the effective Dirac theory, without referring to atomic-scale effects which are significant in proposals operating on localized edge states.