Spin-Hall Effect and Diamagnetism of Dirac Electrons

Abstract

Spin-Hall conductivity (SHC) of fully relativistic (4x4 matrix) Dirac electrons is studied based on the Kubo formula aiming at possible application to bismuth and bismuth-antimony alloys. It is found that there are two distinct contributions to SHC, one only from the states near the Fermi energy and the other from all the occupied states. The latter remains even in the insulating state, i.e., when the chemical potential lies in the band-gap, and turns to have the same dependences on the chemical potential as the orbital susceptibility (diamagnetism), a surprising fact. These results are applied to bismuth-antimony alloys and the doping dependence of the SHC is proposed.

4 Pages, 2 figures

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Cited by in corpus (24)

• Transport Properties and Diamagnetism of Dirac Electrons in Bismuth
• The spin Hall effect of Bi-Sb alloys driven by thermally excited Dirac-like electrons
• Orbital Magnetism of Bloch Electrons I. General Formula
• Spin-Hall Effect and Diamagnetism of Anisotropic Dirac Electrons in Solids
• Spin Hall effect driven by the spin magnetic moment current in Dirac materials
• Intrinsic orbital and spin Hall effect in bismuth semimetal
• Intrinsic and Extrinsic Spin Hall Effects of Dirac Electrons
• Spin susceptibility of three-dimensional Dirac semimetals
• Spin Pumping into Anisotropic Dirac Electrons
• Meissner Effect of Dirac Electrons in Superconducting State due to Inter-band Effect
• Anisotropic spin Hall and spin Nernst effects in bismuth semimetal
• Anomalous Spin Transport Properties of Gapped Dirac Electrons with Tilting
• Local Observations of Orbital Diamagnetism and Excitation in Three-Dimensional Dirac Fermion Systems Bi${}_{1-x}$Sb${}_x$
• Seebeck effect of Dirac electrons
• Weak anti-localization in spin-orbit coupled lattice systems
• A field-induced reentrant insulator state of a gap-closed topological insulator (Bi_{1-x}Sb_x) in quantum-limit states
• Microscopic theory of spin Nernst effect
• Intrinsic Spin-Orbit Interaction in Graphene
• Inverse Faraday effect in massive Dirac electrons
• Temperature dependence of charge-to-spin conversion in rhombohedral (110) bismuth thin film
• Anisotropy of the spin Hall effect in a Dirac ferromagnet
• Weak anti-localization in spin-orbit coupled lattice systems: effect of non-adiabatic transitions and estimation of spin relaxation length
• Impact of spin--orbit coupling on orbital diamagnetism in a narrow-gap semiconductor ${\mathrm{Pb}}_{1-x}{\mathrm{Sn}}_x\mathrm{Te}$
• Current induced magneto-optical Kerr effect as a probe of Dirac carriers in Bi${}_{1-x}$Sb${}_x$ alloy