Diluted magnetic Dirac-Weyl materials: Susceptibility and ferromagnetism in three-dimensional chiral gapless semimetals

Abstract

We theoretically investigate the temperature-dependent static susceptibility and long-range magnetic coupling of three-dimensional (3D) chiral gapless electron-hole systems (semimetals) with arbitrary band dispersion [i.e., $\epsilon (k)\sim k^N$, where $k$ is the wave vector and $N$ is a positive integer]. We study the magnetic properties of these systems in the presence of dilute random magnetic impurities. Assuming carrier-mediated Ruderman-Kittel-Kasuya-Yosida indirect exchange interaction, we find that the magnetic ordering of intrinsic 3D chiral semimetals in the presence of dilute magnetic impurities is ferromagnetic for all values of $N$. Using finite-temperature self-consistent field approximation, we calculate the ferromagnetic transition temperature ($T_{\mathrm{c}}$). We find that $T_{\mathrm{c}}$ increases with increasing $N$ due to the enhanced density of states, and the calculated $T_{\mathrm{c}}$ is experimentally accessible assuming reasonable coupling between the magnetic impurities and itinerant carriers.

6 pages, 4 figures

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• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Chiral anomaly and transport in Weyl metals
• Chiral Decomposition in the Electronic Structure of Graphene Multilayers
• Dynamic current-current susceptibility in 3D Dirac and Weyl semimetals
• Dynamical correlation functions and the related physical effects in three-dimensional Weyl/Dirac semimetals
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• Selective generation and amplification of RKKY interactions by P-N interface
• Electronic properties of the parabolic Dirac system