Crossover to the Anomalous Quantum Regime in the Extrinsic Spin Hall Effect of Graphene

Abstract

Recent reports of spin-orbit coupling enhancement in chemically modified graphene have opened doors to studies of the spin Hall effect with massless chiral fermions. Here, we theoretically investigate the interaction and impurity density dependence of the extrinsic spin Hall effect in spin-orbit coupled graphene. We present a nonperturbative quantum diagrammatic calculation of the spin Hall response function in the strong-coupling regime that incorporates skew scattering and anomalous impurity density-independent contributions on equal footing. The spin Hall conductivity dependence on Fermi energy and electron-impurity interaction strength reveals the existence of experimentally accessible regions where anomalous quantum processes dominate. Our findings suggest that spin-orbit-coupled graphene is an ideal model system for probing the competition between semiclassical and bona fide quantum scattering mechanisms underlying the spin Hall effect.

5 pages, 4 figures + Supp. Mat.; to appear in Phys. Rev. B Rapid Communications

References in corpus (21)

• The electronic properties of graphene
• Graphene Spintronics
• Direct electronic measurement of the spin Hall effect
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Electronic transport in graphene: A semi-classical approach including midgap states
• Spin-Orbit Proximity Effect in Graphene
• Tunneling Spin Injection into Single Layer Graphene (Supplementary Information)
• Tunneling Spin Injection into Single Layer Graphene
• Semiclassical theories of the anomalous Hall effect
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Resonant scattering by realistic impurities in graphene
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Adsorbate-limited conductivity of graphene
• Manipulation of Spin Transport in Graphene by Surface Chemical Doping
• Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers
• Colossal negative magnetoresistance in dilute fluorinated graphene
• Spin-orbit coupling in fluorinated graphene
• Rashba Spin Orbit Interaction and Birefringent Electron Optics in Graphene
• Quantum Diagrammatic Theory of the Extrinsic Spin Hall Effect in Graphene
• Symmetry breaking effects on spin and electronic transport in graphene
• Electrical control of intervalley scattering in graphene via the charge state of defects

Cited by in corpus (13)

• Colloquium: Spintronics in graphene and other two-dimensional materials
• Optimal charge-to-spin conversion in graphene on transition metal dichalcogenides
• Anomalous Hall effect in 2D Dirac materials
• Absence of a giant spin Hall effect in plasma-hydrogenated graphene
• Skew-scattering-induced giant antidamping spin-orbit torques: Collinear and out-of-plane Edelstein effects at two-dimensional material/ferromagnet interfaces
• Global Phase Diagram of Disordered Type-II Weyl Semimetals
• Microscopic linear response theory of spin relaxation and relativistic transport phenomena in graphene
• Spin Hall and inverse spin galvanic effects in graphene with strong interfacial spin-orbit coupling: a quasi-classical Green's function approach
• Spin Hall Effect: Symmetry Breaking, Twisting, and Giant Disorder Renormalization
• Spin-charge conversion in disordered two-dimensional electron gases lacking inversion symmetry
• Theory of spin-charge-coupled transport in proximitized graphene: An SO(5) algebraic approach
• Anomalous Hall effect in type-I Weyl metals beyond the noncrossing approximation
• Theory of Spin Injection in Two-dimensional Metals with Proximity-Induced Spin-Orbit Coupling