Realistic indirect spin-interactions between magnetic impurities on a metallic Pb(110) surface
arXiv:1908.11268 · doi:10.1103/PhysRevB.100.235412
Abstract
Motivated by recent experiments, here we study the indirect interactions between magnetic impurities deposited on top of a clean Pb(110) surface induced by the underlying conduction electrons. Our approach makes use of \textit{ab initio} calculations to characterize the clean Pb(110) surface and avoids self-consistency, a feature that greatly reduces the computational cost. In combination with 2 order perturbation theory in the microscopic \textit{s-d} exchange parameter between a magnetic adatom and the conduction electrons, we are able to systematically derive the Ruderman-Kittel-Kasuya-Yosida (RKKY), the Dzyaloshinskii-Moriya (DM) and the anisotropic tensor interactions emerging at the Pb(110) surface between magnetic impurities. The only adjustable parameter is , which is fitted to reproduce the experiments. Our results show important anisotropy effects arising both from the rectangular geometry of the (110) unit cell, and from the strong Rashba spin-orbit interaction due to the broken inversion symmetry at the Pb(110) surface. In addition to Pb(110), the characterization of the indirect spin interactions described here could be extended to other realistic metallic surfaces for weakly-coupled impurities, and would enable to fabricate atomic-size nanostructures with engineered interactions and on-demand magnetic properties, anticipating useful applications in nanotechnology.
arXiv comment10 pages, 5 figures
References in corpus (27)
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Fermi-liquid instabilities at magnetic quantum phase transitions
- Superconducting Spintronics
- Assessing the Performance of Recent Density Functionals for Bulk Solids
- Majorana fermions in chains of magnetic atoms on a superconductor
- Topological Superconductivity and Majorana Fermions in RKKY Systems
- Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
- All-electric all-semiconductor spin field effect transistors
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
- Electrically controllable surface magnetism on the surface of topological insulator
- High-resolution studies of the Majorana atomic chain platform
- Rashba Effect at Magnetic Metal Surfaces
- Exchange interaction between single magnetic adatoms
- Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling
- Temperature and magnetic field dependence of a Kondo system in the weak coupling regime
- Tuning the magnetic anisotropy of single molecules
- Doppler shift picture of the Dzyaloshinskii--Moriya interaction
- An alternate spintronic analog of the electro-optic modulator
- Kondo versus indirect exchange: the role of the lattice and the actual range of RKKY interactions in real materials
- Superconducting Spintronics with Magnetic Domain Walls
- Kondo Effect and Surface-State Electrons
- Multiple magnetic impurities on surfaces: Scattering and quasiparticle interference
- Chiral magnetism of magnetic adatoms generated by Rashba electrons
- Screening mechanisms in magnetic nanostructures
- Non-perturbative effects and indirect exchange interaction between quantum impurities on metallic (111) surfaces
- Orbital Dzyaloshinskii-Moriya Exchange Interaction