RKKY interaction of magnetic impurities in node-line semimetals
arXiv:2011.04161 · doi:10.1016/j.jmmm.2022.169164
Abstract
Motivated by the recent upsurge in research of three-dimensional topological semimetals (SMs), we theoretically study the RKKY interaction between magnetic impurities in node-line SMs with and without the chirality and obtain the analytical expressions. We find that unique toroidal Fermi surface (FS) in nodal-line SMs, distinctly different from the spheroid FS in the SMs with the point nodes, has significant influences on the RKKY interaction, leading to strong anisotropic oscillation and unique decay features. In the direction perpendicular to node-line plane, as usual, there is only one oscillation period related to the Fermi energy. In contrast, in the node-line plane, the RKKY interaction form a beating pattern and oscillates more rapidly with two distinct periods: one is coming from the Fermi energy and the other is from the radius of node-line. More importantly, inside nodal-line SMs bulk, the decay rate of RKKY interaction manifests a typical two-dimensional feature for impurities aligned along the direction perpendicular to nodal-line plane. Furthermore, the magnetic interactions in nodal-line SMs with linear and quadratic dispersions in the nodal-line plane are compared. We also discuss the possible application of the present theory on realistic NLSM ZrSiSe. Our results shed the light for application of magnetically doped node-line SMs in spintronics.
arXiv comment17 pages, 3 figures
References in corpus (29)
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Topological Insulators with Inversion Symmetry
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
- Quantized Anomalous Hall Effect in Magnetic Topological Insulators
- Dirac semimetal in three dimensions
- Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
- Observation of Weyl nodes in TaAs
- Magnetic impurities on the surface of a topological insulator
- Drumhead Surface States and Topological Nodal-Line Fermions in TlTaSe2
- RKKY in half-filled bipartite lattices: graphene as an example
- Diluted Graphene Antiferromagnet
- Single-Dirac-Cone topological surface states in TlBiSe2 class of Topological Insulators
- Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling
- RKKY interaction in graphene
- RKKY Interaction in Graphene Calculated Following Ruderman and Kittel
- A disordered RKKY lattice mean field theory for ferromagnetism in diluted magnetic semiconductors
- RKKY interaction of magnetic impurities in Dirac and Weyl semimetals
- Ruderman-Kittel-Kasuya-Yosida interaction in Weyl semimetals
- Hydrostatic pressure induced Dirac semimetal in black phosphorus
- Temperature-Induced Lifshitz Transition and Possible Excitonic Instability in ZrSiSe
- Excitonic Instability and Pseudogap Formation in Nodal Line Semimetal ZrSiS
- Anisotropic density fluctuations, plasmons, and Friedel oscillations in nodal line semimetal
- Electron transport in nodal-line semimetals
- Quantum Oscillations in Nodal Line Systems
- Light-induced renormalization of the Dirac quasiparticles in the nodal-line semimetal ZrSiSe
- Magnetic susceptibility of topological nodal semimetals
- RKKY interaction of magnetic impurities in multi-Weyl semimetals