Kubo-Bastin approach for the spin Hall conductivity of decorated graphene

Abstract

Theoretical predictions and recent experimental results suggest one can engineer spin Hall effect in graphene by enhancing the spin-orbit coupling in the vicinity of an impurity. We use a Chebyshev expansion of the Kubo-Bastin formula to compute the spin conductivity tensor for a tight-binding model of graphene with randomly distributed impurities absorbed on top of carbon atoms. We model the impurity-induced spin-orbit coupling with a graphene-only Hamiltonian that takes into account three different contributions~\cite{Gmitra2013} and show how the spin Hall and longitudinal conductivities depend on the strength of each spin-orbit coupling and the concentration of impurities. Additionally, we calculate the real-space projection of the density of states in the vicinity of the Dirac point for single and multiple impurities and correlate these results with the conductivity calculations.

8 pages, 8 figures

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• Orbital Hall Insulating Phase in Transition Metal Dichalcogenide Monolayers
• Spin Hall Effect and Origins of Nonlocal Resistance in Adatom-Decorated Graphene
• Two-dimensional orbital Hall insulators
• Valley-Polarized Quantum Transport Generated by Gauge Fields in Graphene
• Origin of nonlocal resistance in multiterminal graphene on hexagonal-boron-nitride: Fermi surface edge currents rather than Fermi sea topological valley currents
• Direct coupling between charge current and spin polarization by extrinsic mechanisms in graphene
• Absence of a giant spin Hall effect in plasma-hydrogenated graphene
• Quantum Hall Effect in Graphene with Interface-Induced Spin-Orbit Coupling
• Valley Hall Effect and Non-Local Resistance in Locally Gapped Graphene
• Spin and Charge Transport of Multi-Orbital Quantum Spin Hall Insulators
• Bulk and surface spin conductivity in topological insulators with hexagonal warping
• The Haldane model under nonuniform strain
• Charge and Spin Transport Anisotropy in Nanopatterned Graphene
• Breakdown of the Hebel-Slichter effect in superconducting graphene due to the emergence of Yu-Shiba-Rusinov states at magnetic resonant scatterers
• Orbital Hall effect and topology on a two-dimensional triangular lattice: from bulk to edge
• Valley-dependent transport through graphene quantum dots due to proximity-induced, staggered spin-orbit couplings
• Unambiguous Simulation of Diffusive Charge Transport in Disordered Nanoribbons
• Controlling Spin-Polarization in Graphene by Cloaking Magnetic and Spin-Orbit Scatterers