Electromagnetic spin polarization on the surface of topological insulator

Abstract

We study the spin polarization of the electrons on the surface of topological insulators under a dc electric field or a circularly polarized light by using Keldysh Green's function formalism. When a dc electric field $E_x\sim 10^{3}V/m$ is applied, a spin polarization $<{\sigma }_y>\simeq 5.2\times 10^{-8}{\mathring{\mathrm{A}}}^{-2}$ is induced. Furthermore, we also find that a light illumination induces the out-of-plane component of the spin polarization as a result of the inverse Faraday effect. The magnitude of the spin polarization is proportional to the square of the lifetime $\tau$ and $<{\sigma }_z>\simeq 2\times 10^{-10}{\mathring{\mathrm{A}}}^{-2}$ for typical parameters. Finally, we investigate the spin polarization in the presence of the warping term. By the symmetry consideration of the system, we find that the out-of-plane spin polarization is cubic of the current and that the magnitude of the induced spin polarization depends on the direction of the applied current.

arXiv comment10 pages, 6 figures

References in corpus (29)

• Topological Insulators
• Topological Insulators in Three Dimensions
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological invariants of time-reversal-invariant band structures
• Universal Intrinsic Spin-Hall Effect
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• The quantum spin Hall effect and topological insulators
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Magnetic impurities on the surface of a topological insulator
• Giant Magneto-optical Kerr Effect and Universal Faraday Effect in Thin-film Topological Insulators
• Inverse Spin-Galvanic Effect in a Topological-Insulator/Ferromagnet Interface
• Optical characterization of topological insulator surface states: Berry curvature-dependent response
• Topological quantization in units of the fine structure constant
• Diffuse transport and spin accumulation in a Rashba two-dimensional electron gas
• Direct Evidence for the Dirac-Cone Topological Surface States in Ternary Chalcogenide TlBiSe2
• Spin and Charge Transport on the Surface of a Topological Insulator
• Collective modes of a helical liquid
• Direct mapping of the spin-filtered surface bands of a three-dimensional quantum spin Hall insulator
• Dynamics of magnetization on the topological surface
• Selective probing of photo-induced charge and spin dynamics in the bulk and surface of a topological insulator
• Nonlinear optical probe of tunable surface electrons on a topological insulator
• Quasiparticle Interference on the Surface of the Topological Insulator Bi${}_2$Te${}_3$
• Magneto-optical and Magneto-electric Effects of Topological Insulators in Quantizing Magnetic Fields
• Magnetoelectric Response of the Time-Reversal Invariant Helical Metal
• Magnetotransport of Dirac Fermions on the surface of a topological insulator
• Spin orientation by electric current in (110) quantum wells

Cited by in corpus (22)

• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Photovoltaic Chiral Magnetic Effect
• Laser-induced torques in metallic ferromagnets
• Resonant photovoltaic effect in doped magnetic semiconductors
• Spintronics and spincaloritronics in topological insulators
• Nonequilibrium spin texture within a thin layer below the surface of current-carrying topological insulator Bi${}_2$Se${}_3$: A first-principles quantum transport study
• Anisotropic effect of warping on the lifetime broadening of topological surface states in angle-resolved photoemission from Bi${}_2$Te${}_3$
• Spin-Seebeck effect on the surface of topological insulator due to nonequilibrium spin-polarization parallel to the direction of thermally driven electronic transport
• Photogalvanic effect in HgTe/CdTe topological insulator due to edge-bulk optical transitions
• Coherent control of optical injection of spin and currents in topological insulators
• Theory of light-induced effective magnetic field in Rashba ferromagnets
• Resonant manifestations of chiral excitons in magnetooptical Faraday and Kerr effects in topological insulator film
• Dynamics of domain-wall Dirac fermions on a topological insulator: a chiral fermion beam splitter
• Optically tunable spin transport on the surface of a topological insulator
• Spin and charge transport induced by a twisted light beam on a surface of a topological insulator
• Spin-charge transport driven by magnetization dynamics on disordered surface of doped topological insulators
• Intrinsic Contribution to Non-linear Thermoelectric Effect
• Spin-dependent phenomena in semiconductors in strong electric fields
• Surface Step Defect in 3D Topological Insulators: Electric Manipulation of Spin and Quantum Spin Hall Effect
• Inverse Faraday effect in massive Dirac electrons
• Spin dynamics and fluctuations in the streaming regime
• Formulation of the orbital magnetic moment in multiorbital tight-binding models: Application to the inverse Faraday effect