# 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/en/paper/1509.04741v1/

## Key points

- Authors Hao-Ran Chang, Jianhui Zhou, Shi-Xiong Wang, Wen-Yu Shan, and Di Xiao study theoretical analysis of RKKY interaction between magnetic impurities within materials.
- Three-dimensional structure and unique properties of Dirac and Weyl semimetals significantly impact the RKKY interaction.
- The presence of Heisenberg and Ising terms, along with a Dzyaloshinsky-Moriya term in cases without inversion symmetry, influences the interactions.
- Interactions may lead to complex spin textures and even ferromagnetism in Dirac and Weyl semimetals.
- External factors further modulate the RKKY interaction dynamics.
- Research offers insights into engineering topological semimetals and advancements in spintronics technology.

## Summary

In their study, authors Hao-Ran Chang, Jianhui Zhou, Shi-Xiong Wang, Wen-Yu Shan, and Di Xiao delve into the theoretical analysis of the  between magnetic impurities within . By considering the  and the distinctive three-dimensional  present in these materials, they uncover that these factors have a profound impact on the RKKY interaction. This influence manifests in the emergence of both Heisenberg and Ising terms, with an additional Dzyaloshinsky-Moriya term arising in cases where inversion symmetry is lacking. The implications of these interactions are far-reaching, potentially leading to the formation of complex spin textures and even ferromagnetism within Dirac SMs and time reversal symmetry-invariant Weyl SMs. Furthermore, the authors explore how  further modulate the RKKY interaction dynamics. Ultimately, their findings not only offer insights into engineering topological SMs but also shed new light on leveraging Dirac and Weyl SMs for advancements in spintronics technology. Through this research, a deeper understanding of the interplay between magnetic impurities and unique properties of Dirac and Weyl semimetals is achieved, opening up avenues for innovative applications in spin-based electronics.