Semi-realistic tight-binding model for Dzyaloshinskii-Moriya interaction
arXiv:2002.05546 · doi:10.1103/PhysRevB.102.224427
Abstract
In this work, we discuss the nature of Dzyaloshinskii-Moriya interaction (DMI) in transition metal heterostructures. We first derive the expression of DMI in the small spatial gradient limit using Keldysh formalism. This derivation provides us with a Green's function formula that is well adapted to tight-binding Hamiltonians. With this tool, we first uncover the role of orbital mixing: using both a toy model and a realistic multi-orbital Hamiltonian representing transition metal heterostructures, we show that symmetry breaking enables the onset of interfacial orbital momentum that is at the origin of the DMI. We then investigate the contribution of the different layers to the DMI and reveal that it can expand over several nonmagnetic metal layers depending on the Fermi energy, thereby revealing the complex orbital texture of the band structure. Finally, we examine the thickness dependence of DMI on both ferromagnetic and nonmagnetic metal thicknesses and we find that whereas the former remains very weak, the latter can be substantial.
arXiv comment11 pages, 11 figures
References in corpus (38)
- Skyrmion Lattice in a Chiral Magnet
- Observation of room temperature magnetic skyrmions and their current-driven dynamics in ultrathin Co films
- Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
- Blowing Magnetic Skyrmion Bubbles
- Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmion at room temperature
- Skyrmions at room temperature : From magnetic thin films to magnetic multilayers
- Room temperature chiral magnetic skyrmion in ultrathin magnetic nanostructures
- Anatomy of Dzyaloshinskii-Moriya Interaction at Co/Pt Interfaces
- Magnetic skyrmion artificial synapse for neuromorphic computing
- Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
- Predicting the Spin-Lattice Order of Frustrated Systems from First-Principles
- Spectroscopic confirmation of linear relation between Heisenberg- and interfacial Dzyaloshinskii-Moriya-exchange in polycrystalline metal films
- Thermal skyrmion diffusion applied in probabilistic computing
- A magnetic skyrmion as a non-linear resistive element - a potential building block for reservoir computing
- The nature of domain walls in ultrathin ferromagnets revealed by scanning nanomagnetometry
- Spin-orbit torques in Co/Pt(111) and Mn/W(001) magnetic bilayers from first principles
- Interfacial Dzyaloshinskii-Moriya interaction in Pt/CoFeB films: effect of the heavy-metal thickness
- Hund's rule-driven Dzyaloshinskii-Moriya interaction at 3d-5d interfaces
- Magnetic bimerons as skyrmion analogues in in-plane magnets
- Information transfer by vector spin chirality in finite magnetic chains
- Scaling of Dzyaloshinskii Moriya interaction at heavy metal and ferromagnetic metal interfaces
- Strong Dzyaloshinskii-Moriya Interaction and Origin of Ferroelectricity in Cu2OSeO3
- Orbital Edelstein effect as a condensed-matter analog of solenoid
- Engineering skyrmions in transition-metal multilayers for spintronics
- Berry phase theory of Dzyaloshinskii-Moriya interaction and spin-orbit torques
- Doppler shift picture of the Dzyaloshinskii--Moriya interaction
- Phase-Space Berry Phases in Chiral Magnets: Dzyaloshinskii-Moriya Interaction and the Charge of Skyrmions
- Dzyaloshinskii-Moriya interaction and chiral magnetism in 3-5 zig-zag chains: Tight-binding model and ab initio calculations
- Chirality Hall Effect in Weyl Semimetals
- Correlated band theory of spin and orbital contributions to Dzyaloshinskii-Moriya interactions
- Role of Dzyaloshinskii-Moriya interaction for magnetism in transition-metal chains at Pt step-edges
- First-principles analysis of a homo-chiral cycloidal magnetic structure in a monolayer Cr on W(110)
- First-principles calculation of spin-orbit torque in a Co/Pt bilayer
- Dependence of Dzyaloshinskii-Moriya interaction on the oxygen coverage in Pt/Co/MOx trilayers
- The relation of the Dzyaloshinskii-Moriya interaction to spin currents and to the spin-orbit field
- An accurate scheme to calculate the interatomic Dzyaloshinskii-Moriya interaction parameters
- Interfacial contributions to spin-orbit torque and magnetoresistance in ferromagnet/heavy-metal bilayers
- Semi-realistic tight-binding model for spin-orbit torques