Charge and spin Hall conductivity in metallic graphene

Abstract

Graphene has an unusual low-energy band structure with four chiral bands and half-quantized and quantized Hall effects that have recently attracted theoretical and experimental attention. We study the Fermi energy and disorder dependence of its spin Hall conductivity. In the metallic regime we find that vertex corrections enhance the intrinsic spin Hall conductivity and that skew scattering can lead to its values that exceed the quantized ones expected when the chemical potential is inside the spin-orbit induced energy gap. We predict that large spin Hall conductivities will be observable in graphene even when the spin-orbit gap does not survive disorder.

4 pages, 2 figures

References in corpus (26)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
• Unconventional Integer Quantum Hall effect in graphene
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Anomalous Hall effect in ferromagnetic semiconductors
• Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
• Electric Field Modulation of Galvanomagnetic Properties of Mesoscopic Graphite
• Suppression of the Persistent Spin Hall Current by Defect Scattering
• Topological Nature of Anomalous Hall Effect in Ferromagnet
• Coulomb Interactions and Ferromagnetism in Pure and Doped Graphene
• Unconventional quasiparticle lifetime in graphite
• Nondissipative Spin Hall Effect via Quantized Edge Transport
• Anisotropic transport in the two-dimensional electron gas in the presence of spin-orbit coupling
• Anomalous Hall effect in paramagnetic two dimensional systems
• Coordinate shift in the semiclassical Boltzmann equation and the anomalous Hall effect
• Disorder effects in the AHE induced by Berry curvature
• Anomalous Hall effect in a two-dimensional electron gas with spin-orbit interaction
• Gauge (non-)invariant Green functions of Dirac fermions coupled to gauge fields
• Ballistic electron motion in a random magnetic field

Cited by in corpus (92)

• Electronic transport in two dimensional graphene
• Properties of Graphene: A Theoretical Perspective
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Ab Initio Theory of Gate Induced Gaps in Graphene Bilayers
• Giant Magneto-optical Kerr Effect and Universal Faraday Effect in Thin-film Topological Insulators
• Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
• Semiclassical theories of the anomalous Hall effect
• Novel electric field effects on Landau levels in Graphene
• Room temperature spin Hall effect in graphene/MoS${}_2$ van der Waals heterostructures
• Valley polarized quantum Hall effect and topological insulator phase transitions in silicene
• The Fractional Quantum Hall States of Dirac Electrons in Graphene
• In-plane Magnetization Induced Quantum Anomalous Hall Effect
• Quantum spin/valley Hall effect and topological insulator phase transitions in silicene
• Large Anomalous Hall Effect in Topological Insulators with Proximitized Ferromagnetic Insulators
• Linear Scaling Quantum Transport Methodologies
• The Theory of Spin Noise Spectroscopy: A Review
• Collective excitations of Dirac electrons in a graphene layer with spin-orbit interaction
• Anomalous Hall effect with massive Dirac fermions
• Dirac Spin-Orbit Torques at the Surface of Topological Insulators
• Quantum Anomalous Hall Effect in Magnetically Doped InAs/GaSb Quantum Wells
• Spin Hall Effect and Origins of Nonlocal Resistance in Adatom-Decorated Graphene
• Band topology and quantum spin Hall effect in bilayer graphene
• Intrinsic anomalous Hall effect in ferromagnetic metals studied by the multi d-orbital tight-binding model
• Photoinduced quantum spin and valley Hall effects and orbital magnetization in monolayer MoS2
• Magnetic-proximity-induced magnetoresistance on topological insulators
• Electron energy spectrum and the Berry phase in graphite bilayer
• Spontaneous persistent currents in magnetically ordered graphene ribbons
• Neutral-current Hall effects in disordered graphene
• Pseudospin in optical and transport properties of graphene
• Controllable spin-dependent transport in armchair graphene nanoribbon structures
• A new decomposition of the Kubo-Bastin formula
• Berry phase mediated topological thermoelectric transport in gapped single and bilayer graphene
• Semiclassical equations of motion for disordered conductors: extrinsic interband velocity, corrected collision integral and spin-orbit torques
• Dynamical current-current susceptibility of gapped graphene
• Spin Hall effect in a system of Dirac fermions in the honeycomb lattice with intrinsic and Rashba spin-orbit interaction
• Current-induced spin polarization and spin-orbit torque in graphene
• Sensitivity of anomalous Hall effect to disorder correlations
• Semiclassical theory of spin-orbit torques in disordered multiband electron systems
• Surface charge conductivity of topological insulator in a magnetic field: effect of hexagonal warping
• Optical conductivity of semi-Dirac and pseudospin-1 models: Zitterbewegung approach
• Anomalous thermospin effect in the low-buckled Dirac materials
• The Modulation of de Haas-van Alphen Effect in Graphene by Electric Field
• Spin currents and magnetoresistance of graphene-based magnetic junctions
• Dynamics of the (spin-) Hall effect in topological insulators and graphene
• Bulk and surface spin conductivity in topological insulators with hexagonal warping
• Intrinsic Spin Hall Effect in s-wave Superconducting State: Analysis of Rashba Model
• Light and microwave driven spin pumping across FeGaB-BiSb interface
• Spin-Hall effect in triplet chiral superconductors and graphene
• Valley-dependent spin-orbit torques in two dimensional hexagonal crystals
• Current-induced Spin Polarization in Two-Dimensional Hole Gas
• Sign change in the anomalous Hall effect and strong transport effects in a 2D massive Dirac metal due to spin-charge correlated disorder
• Optical responses and optical activity of ultrathin films of topological insulator
• Electric conductivity in graphene: Kubo model versus a nonlocal quantum field theory model
• Topological spin Hall and spin Nernst effects in a bilayer graphene
• Collective Excitations of Dirac Electrons in Graphene
• Highly Tunable Spin-Orbit Torque and Anisotropic Magnetoresistance in a Topological Insulator Thin Film Attached to Ferromagnetic Layer
• Thermoelectric and thermospin transport in a ballistic junction of graphene
• Spin-polarized transport through domain wall in magnetized graphene
• Unconventional superconductivity and Surface pairing symmetry in Half-Heusler Compounds
• Anomalous Hall Effect on the surface of topological Kondo insulators
• Quantum Spin Hall Effect in Graphene Nanoribbons: Effect of Edge Geometry
• Fractional Spin Hall Effect in Atomic Bose Gases
• Topological and disorder corrections to the transverse Wiedemann-Franz law and Mott relation in kagome magnets
• Semi-realistic tight-binding model for spin-orbit torques
• Spin-Hall conductivity of a spin-polarized two-dimensional electron gas with Rashba spin-orbit interaction and magnetic impurities
• Optical Hall conductivity of systems with gapped spectral nodes
• Modeling the Oblique Spin Precession in Lateral Spin Valves for Accurate Determination of Spin Lifetime Anisotropy: Effect of Finite Contact Resistance and Channel Length
• The role of band-index-dependent transport relaxation times in anomalous Hall effect
• Intrinsic spin Hall effect in graphene: Numerical calculations in a multi-orbital mode
• Rashba torque beyond the Boltzmann regime
• Charge and spin Hall effect in spin chiral ferromagnetic graphene
• Magneto-transport in impurity-doped few-layer graphene spin valve
• Theory of Cross-correlated Electron-Magnon Transport Phenomena: Case of Magnetic Topological Insulator
• Charge and spin Hall effect in graphene with magnetic impurities
• Disorder Induced Anomalous Hall Effect in Type-I Weyl Metals: Connection between the Kubo-Streda Formula in the Spin and Chiral basis
• Controllable intrinsic DC spin/valley Hall conductivity in ferromagnetic silicene: Exploring a fully spin/valley polarized transport
• Anomalous Hall effect in type-I Weyl metals beyond the noncrossing approximation
• Large magnetoresistance dips and perfect spin-valley filter induced by topological phase transitions in silicene
• Anomalous Nernst effect on a magnetically-doped topological insulator surface: A Green's function approach
• Theory of AC Anomalous Hall Conductivity in d-electron systems
• Quantum Internal Structure of Plasmons
• Magnetic oscillations of the anomalous Hall conductivity
• Thermodynamic properties of the 2+1-dimensional Dirac fermions with broken time-reversal symmetry
• Efficient algorithm to compute the Berry conductivity
• Gauge Potential Formulations of the Spin Hall Effect in Graphene
• Casimir-Lifshitz force with graphene: theory versus experiment, role of spatial non-locality and of losses
• The influence of anisotropic Rashba spin-orbit coupling on current-induced spin polarization in graphene
• Enhanced and stable spin Hall conductivity in a disordered time-reversal and inversion symmetry broken topological insulator thin film
• First-order effect of electron-electron interactions on the anomalous Hall conductivity of massive Dirac fermions
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Promoted current-induced spin polarization in inversion symmetry broken topological insulator thin films