Bulk and surface spin conductivity in topological insulators with hexagonal warping

Abstract

We investigate the spin conductivity of topological insulators taking into account both the surface and quasi-two-dimensional bulk states. We apply a low-energy expansion of the Hamiltonian up to the third order in momentum and take into account the vertex corrections arising due to the short range disorder. Hexagonal warping gives rise to the additional anisotropic components in the spin conductivity tensor. Typically, isotropic part of the spin conductivity is larger than anisotropic one. The helical regime for the bulk states, in which the electrons in the Fermi level have the same projection of the spin on the direction of momentum, have been studied in a more detail. In this regime, a substantial increase of the spin conductivity contribution from the bulk states at the Fermi level is observed. We find that the bulk spin conductivity is insensitive to disorder if Rashba spin-orbit coupling is larger than disorder strength, otherwise, it is strongly suppressed. The contribution to the spin conductivity from the surface states is almost independent of the chemical potential, robust to disorder and its value is comparable to the spin conductivity contribution from the bulk states per layer. The obtained results are in agreement with experimental data.

arXiv comment12 pages, 12 figures

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Cited by in corpus (12)

• Electric Ferro-Axial Moment as Nanometric Rotator and Source of Longitudinal Spin Current
• Electron beam splitting at topological insulator surface states and a proposal for electronic Goos-Hanchen shift measurement
• Spin-Hall effect due to the bulk states of topological insulators: Extrinsic contribution to the conserved spin current
• Spin transfer torques due to the bulk states of topological insulators
• Non-linear antidamping spin-orbit torque originating from intra-band transport on the warped surface of a topological insulator
• Nematic superconductivity in topological insulators induced by hexagonal warping
• Thin film of a topological insulator as a spin Hall insulator
• Conduction of surface electrons in a topological insulator with spatially random magnetization
• Quasiparticle interference in doped topological insulators with nematic superconductivity
• Enhanced and stable spin Hall conductivity in a disordered time-reversal and inversion symmetry broken topological insulator thin film
• Doping-controlled surface conduction in topological insulators with warping effects
• Bulk spin conductivity of three-dimensional topological insulator