# Kramers Weyl Semimetals as Quantum Solenoids and Their Applications in Spin-Orbit Torque Devices

## TL;DR

Kramers Weyl semimetals exhibit a unique longitudinal magnetoelectric effect enabling their use as quantum solenoids and in spin-orbit torque devices with electric control of magnetization.

## Contribution

This work reveals the chiral lattice symmetry-induced longitudinal magnetoelectric effect in Kramers Weyl semimetals and proposes their application in nanoscale spintronic devices.

## Key findings

- Kramers Weyl semimetals act as quantum solenoids with parallel charge current and magnetization.
- They enable electric control of magnetization switching in spintronic devices.
- The materials exhibit a unique longitudinal magnetoelectric effect due to chiral symmetry.

## Abstract

Kramers Weyl semimetals are Weyl semimetals that have Weyl points pinned at the time reversal invariant momenta. Recently it has been discovered that all chiral crystals host Weyl points at time reversal invariant momenta, so metals with chiral lattice symmetry all belong to the category of Kramers Weyl semimetals. In this work, we show that due to the chiral lattice symmetry, Kramers Weyl semimetals have the unique longitudinal magnetoelectric effect in which the charge current induced spin and orbital magnetization is parallel to the direction of the current. This feature allows Kramers Weyl semimetals to act as nanoscale quantum solenoids with both orbital and spin magnetization. As the moving electrons of Kramers Weyl semimetal can generate longitudinal magnetization, Kramers Weyl semimetals can be used for new designs of spin-orbit torque devices with all electric control of magnetization switching for magnets with perpendicular magnetic anisotropy.