# Magnetic Impurities in Dirac and Weyl Semimetals

**Authors:** Hao-Ran Chang, Jianhui Zhou, Shi-Xiong Wang, Wen-Yu Shan, Di Xiao  
**arXiv:** [1509.04741](https://arxiv.org/abs/1509.04741)  
**Date:** 2015-09-15  
**Summary page:** https://www.summarizepaper.com/fr/paper/1509.04741v1/

## Abstract

We theoretically study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities in both Dirac and Weyl Semimetals (SMs). We find that the internode process, as well as the unique three dimensional spin-momentum locking, has significant influences on the RKKY interaction, resulting in both a Heisenberg and an Ising term, and an additional Dzyaloshinsky-Moriya term if the inversion symmetry is absent. These interactions can lead to rich spin textures and possibly ferromagnetism in Dirac and time reversal symmetry-invariant Weyl SMs. The effect of anisotropic Dirac and Weyl nodes on the RKKY interaction is also discussed. Our results provide a general scheme to engineer topological SMs and shed new light on the application of Dirac and Weyl SMs in spintronics.