Theory of bi-linear magnetoresistance within the minimal model for surface states in topological insulators

Abstract

A new mechanism of bi-linear magnetoresistance (BMR) is studied theoretically within the minimal model describing surface electronic states in topological insulators (TIs). The BMR appears as a consequence of the second-order response to electric field, and depends linearly on both electric field (current) and magnetic field. The mechanism is based on the interplay of current-induced spin polarization and scattering processes due to peculiar spin-orbit defects. The proposed mechanism is compared to that based on a Fermi surface warping, and is shown to be dominant at lower Fermi energies. We provide a consistent theoretical approach based on the Green function formalism and show that the magnetic field dependent relaxation processes in the presence of non-equilibrium current-induced spin polarization give rise to the BMR.

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• Non-linear Transport in Non-centrosymmetric Systems: From Fundamentals to Applications
• Berry curvature induced nonlinear magnetoresistivity in two dimensional systems
• Quantum kinetic theory of quadratic responses
• Highly Tunable Spin-Orbit Torque and Anisotropic Magnetoresistance in a Topological Insulator Thin Film Attached to Ferromagnetic Layer
• Spin-Hall effect due to the bulk states of topological insulators: Extrinsic contribution to the conserved spin current
• Hexagonal Warping Induced Nonlinear Planar Nernst Effect in Nonmagnetic Topological Insulators
• Bilinear magnetoresistance in HgTe topological insulator: opposite signs at opposite interfaces demonstrated by gate control
• Electrical Magnetochiral current in Tellurium
• Signature of Anomalous Andreev bound states in magnetic Josephson junction of noncentrosymmetric superconductor on a topological insulator
• Proximity-induced nonlinear magnetoresistances on topological insulators
• Unidirectional Seebeck effect from Rashba spin-orbit coupling on the subsurface of Ge(111)
• Bilinear planar Hall effect in topological insulators due to spin-momentum locking inhomogeneity
• Bilinear magnetoresistance in topological insulators: role of magnetic disorder
• Promoted current-induced spin polarization in inversion symmetry broken topological insulator thin films
• Roles of Electron-Magnon Cross Diffusion in Unidirectional Magnetoresistance of Metallic Magnetic Bilayers
• Super-resonant transport of topological surface states subjected to in-plane magnetic fields
• Bilinear magnetoresistance in 2DEG with isotropic cubic Rashba spin-orbit interaction