RKKY interaction in three-dimensional electron gases with linear spin-orbit coupling

Abstract

We theoretically study the impacts of linear spin-orbit coupling (SOC) on the Ruderman-Kittel-Kasuya-Yosida interaction between magnetic impurities in two kinds of three-dimensional noncentrosymmetric systems. It has been found that linear SOCs lead to the Dzyaloshinskii-Moriya interaction and the Ising interaction, in addition to the conventional Heisenberg interaction. These interactions possess distinct range functions from three dimensional electron gases and Dirac/Weyl semimetals. In the weak SOC limit, the Heisenberg interaction dominates over the other two interactions in a moderately large region of parameters. Sufficiently strong Rashba SOC makes the Dzyaloshinskii-Moriya interaction or the Ising interaction dominate over the Heisenberg interaction in some regions. The change in topology of the Fermi surface leads to some quantitative changes in periods of oscillations of range functions. The anisotropy of Ruderman-Kittel-Kasuya-Yosida interaction in bismuth tellurohalides family BiTe$X$ ($X$ = Br, Cl, and I) originates from both the specific form of Rashba SOC and the anisotropic effective mass. Our work provides some insights into understanding observed spin textures and the application of these materials in spintronics.

arXiv comment11 pages, 4 figures, Final Version in PRB

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• Dielectric and electronic properties of three-dimensional Luttinger semimetals with a quadratic band touching
• Temperature-Dependent and Magnetism-Controlled Fermi Surface Changes in Magnetic Weyl Semimetals
• Interlayer RKKY Coupling in Bulk Rashba Semiconductors under Topological Phase Transition
• Fermi-arc metals
• Thermoelectric and optical probes for a Fermi surface topology change in noncentrosymmetric metals
• Magnetic impurities in an altermagnetic metal
• Stabilization and helicity control of hybrid magnetic skyrmion
• Floquet-driven indirect exchange interaction mediated by topological insulator surface states
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• Modified exchange interaction between magnetic impurities in spin-orbit coupled quantum wires
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• Anisotropic RKKY interactions mediated by $j=3/2$ quasiparticles in half-Heusler topological semimetal
• Weyl-mediated Ruderman-Kittel-Kasuya-Yosida interaction revisited: imaginary-time formalism and finite temperature effects
• Dynamical polarization and plasmons in noncentrosymmetric metals
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• Dzyaloshinskii-Moriya spin density by skew scattering
• Electrically controllable exchange bias via interface magnetoelectric effect
• RKKY interaction in Mn-doped 4 $\times$ 4 Luttinger systems
• Surface ferromagnetism in a chiral topological semimetal CoSi
• Surface spin polarization in the magnetic response of GeTe Rashba ferroelectric
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• Photo-induced Non-collinear Interlayer RKKY Coupling in Bulk Rashba Semiconductors
• Axionic Instability of Periodic Weyl-Semimetal Superstructures
• Correlated helimagnetic configuration in a nonsymmorphic magnetic nodal semimetal