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.

5 pages, 2 figures

References in corpus (5)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Thermally Driven Ratchet Motion of Skyrmion Microcrystal and Topological Magnon Hall Effect
• Skyrmion Lattice in Two-Dimensional Chiral Magnet
• Fluctuation-induced magnetization dynamics and criticality at the interface of a topological insulator with a magnetically ordered layer

Cited by in corpus (11)

• 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
• Spin Orbit Torque in two dimensional Antiferromagnetic Topological Insulators
• 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
• 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
• Fractional chiral second-order topological insulator from a three-dimensional array of coupled wires
• Non-Lifshitz invariants corrections to Dzyaloshinskii-Moriya interaction energy