RKKY interaction on the surface of three-dimensional Dirac semimetals

Abstract

We study the RKKY interaction between two magnetic impurities located on the surface of a three-dimensional Dirac semimetal with two Dirac nodes in the band structure. By taking into account both bulk and surface contributions to the exchange interaction between the localized spins, we demonstrate that the surface contribution in general dominates the bulk one at distances larger than the inverse node separation due to a weaker power-law decay. We find a strong anisotropy of the surface term with respect to the spins being aligned along the node separation axis or perpendicular to it. In the many impurity dilute regime, this implies formation of quasi-one-dimensional magnetic stripes orthogonal to the node axis. We also discuss the effects of a surface spin-mixing term coupling electrons from spin-degenerate Fermi arcs.

7,5 pages, 3 figures (+4 pages of Appendixes)

References in corpus (12)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• RKKY in half-filled bipartite lattices: graphene as an example
• RKKY Interaction in Graphene from Lattice Green's Function
• Ordering of magnetic impurities and tunable electronic properties of topological insulators
• Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene
• Nuclear Magnetism and Electronic Order in 13C Nanotubes
• RKKY interaction in carbon nanotubes and graphene nanoribbons
• RKKY Interaction On Surfaces of Topological Insulators With Superconducting Proximity Effect
• Magnetic description of the Fermi arc in type-I and type-II Weyl semimetals
• RKKY interaction of magnetic impurities in multi-Weyl semimetals
• Fermi arcs formation in Weyl semimetals: the key role of intervalley interaction
• Tuning topological surface magnetism by bulk alloying

Cited by in corpus (18)

• The promise of spintronics for unconventional computing
• Multiple Flat Bands and Topological Hofstadter Butterfly in Twisted Bilayer Graphene Close to the Second Magic Angle
• Fingerprints of tilted Dirac cones on the RKKY exchange interaction in 8-Pmmn Borophene
• RKKY interaction in a doped pseudospin-1 fermion system at finite temperature
• Broadband nonreciprocal linear acoustics through nonlocal active media
• Interfacial Dzyaloshinskii-Moriya interaction in epitaxial W/Co/Pt multilayers
• Magnetism and Ion Diffusion in Honeycomb Layered Oxide K${}_2$Ni${}_2$TeO${}_6$: First Time Study by Muon Spin Rotation & Neutron Scattering
• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
• RKKY coupling in Weyl semimetal thin films
• On the Sign of Fermion-Mediated Interactions
• Three-dimensional chiral Veselago lensing
• Weyl-mediated Ruderman-Kittel-Kasuya-Yosida interaction revisited: imaginary-time formalism and finite temperature effects
• Amplitude Nanofriction Spectroscopy
• Zitterbewegung-mediated RKKY coupling in topological insulator thin films
• Surface ferromagnetism in a chiral topological semimetal CoSi
• RKKY interaction in graphene at finite temperature
• Axionic Instability of Periodic Weyl-Semimetal Superstructures
• Impurities in 3D quadratic band-touching Luttinger semimetals : Friedel and RKKY oscillations