# Electrically tunable valley polarization in Weyl semimetals with tilted energy dispersion

## TL;DR

This paper demonstrates that in Weyl semimetals with tilted energy dispersion, electrons from different valleys can be electrically polarized through tunneling across a p-n-p junction, enabling potential valleytronic applications.

## Contribution

It introduces a method to achieve electrically controllable valley polarization in Weyl semimetals using tilted energy dispersion and magnetic barriers.

## Key findings

- Opposite valley-dependent refractions at the barrier interface.
- Electrical control and switching of valley polarization.
- Potential for experimental valleytronic device development.

## Abstract

Tunneling transport across the p-n-p junction of Weyl semimetal with tilted energy dispersion is investigated. We report that the electrons around different valleys experience opposite direction refractions at the barrier interface when the energy dispersion is tilted along one of the transverse directions. Chirality dependent refractions at the barrier interface polarize the Weyl fermions in angle-space according to their valley index. A real magnetic barrier configuration is used to select allowed transmission angles, which results in electrically controllable and switchable valley polarization. Our findings may pave the way for experimental investigation of valley polarization, as well as valleytronic and electron optic applications in Weyl semimetals.