Spin and Orbital Magnetic Response on the Surface of a Topological Insulator

Abstract

Coupling of the spin and orbital degrees of freedom on the surface of a strong three-dimensional insulator, on the one hand, and textured magnetic configuration in an adjacent ferromagnetic film, on the other, is studied using a combination of transport and thermodynamic considerations. Expressing exchange coupling between the localized magnetic moments and Dirac electrons in terms of the electrons' out-of-plane orbital and spin magnetizations, we relate the thermodynamic properties of a general ferromagnetic spin texture to the physics in the zeroth Landau level. Persistent currents carried by Dirac electrons endow the magnetic texture with a Dzyaloshinski-Moriya interaction, which exhibits a universal scaling form as a function of electron temperature, chemical potential, and the time-reversal symmetry breaking gap. In addition, the orbital motion of electrons establishes a direct magnetoelectric coupling between the unscreened electric field and local magnetic order, which furnishes complex long-ranged interactions within the magnetic film.

arXiv comment5 pages, 2 figures

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Cited by in corpus (34)

• Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
• Interface-Induced Phenomena in Magnetism
• Magnetic susceptibility in three-dimensional nodal semimetals
• Dirac Spin-Orbit Torques at the Surface of Topological Insulators
• Stability of skyrmion lattices and symmetries of quasi-two-dimensional chiral magnets
• Spin-Torque Generation in Topological-Insulator-Based Heterostructures
• Universal charge and current on magnetic domain walls in Weyl semimetals
• Integer and Fractional Quantum Anomalous Hall Effect in a Strip of Stripes Model
• Topological Hall Effect in a Topological Insulator Interfaced with a Magnetic Insulator
• Asymmetric and symmetric exchange in a generalized 2D Rashba ferromagnet
• Theory of the Interfacial Dzyaloshinskii-Moriya Interaction in Rashba Antiferromagnets
• Spin Orbit Torque in two dimensional Antiferromagnetic Topological Insulators
• Chiral ferromagnetism beyond Lifshitz invariants
• Dirac electrons and domain walls: a realization in junctions of ferromagnets and topological insulators
• Charge-Induced Spin Torque in Anomalous Hall Ferromagnets
• Skyrmion-induced anomalous Hall conductivity on topological insulator surfaces
• Domain Wall in a Quantum Anomalous Hall Insulator as a Magnetoelectric Piston
• Topological spin-plasma waves
• Crossed responses of spin and orbital magnetism in topological insulators
• Fluctuation-induced Néel and Bloch skyrmions at topological insulator surfaces
• Universal Quantization of Magnetic Susceptibility Jump at Topological Phase Transition
• Spin-orbit crossed susceptibility in topological Dirac semimetals
• Voltage-driven Magnetization Switching via Dirac Magnetic Anisotropy and Spin--orbit Torque in Topological-insulator-based Magnetic Heterostructures
• Magnetic dynamics with Weyl fermions
• Chiral separation effect catalyzed by heavy impurities
• Spin-orbital magnetic response of relativistic fermions with band hybridization
• Topological contribution to magnetism in the Kane-Mele model: An explicit wave function approach
• Voltage-control of damping constant in magnetic-insulator/topological-insulator bilayers
• Finite temperature fluctuation-induced order and responses in magnetic topological insulators
• Selective generation and amplification of RKKY interactions by P-N interface
• Tunable spin-charge conversion through topological phase transitions in zigzag nanoribbons
• Spin-torque resonance due to diffusive dynamics at a surface of topological insulator
• Fractional chiral second-order topological insulator from a three-dimensional array of coupled wires
• Non-Lifshitz invariants corrections to Dzyaloshinskii-Moriya interaction energy