Quantum Hall Effect in Graphene with Interface-Induced Spin-Orbit Coupling

Abstract

We consider an effective model for graphene with interface-induced spin-orbit coupling and calculate the quantum Hall effect in the low-energy limit. We perform a systematic analysis of the contribution of the different terms of the effective Hamiltonian to the quantum Hall effect (QHE). By analysing the spin-splitting of the quantum Hall states as a function of magnetic field and gate-voltage, we obtain different scaling laws that can be used to characterise the spin-orbit coupling in experiments. Furthermore, we employ a real-space quantum transport approach to calculate the quantum Hall conductivity and investigate the robustness of the QHE to disorder introduced by hydrogen impurities. For that purpose, we combine first-principles calculations and a genetic algorithm strategy to obtain a graphene-only Hamiltonian that models the impurity.

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Cited by in corpus (18)

• Colloquium: Spintronics in graphene and other two-dimensional materials
• Large spin relaxation anisotropy and valley-Zeeman spin-orbit coupling in WSe2/Gr/hBN heterostructures
• Orbital Hall Insulating Phase in Transition Metal Dichalcogenide Monolayers
• Orbital Hall effect in bilayer transition metal dichalcogenides: From the intra-atomic approximation to the Bloch states orbital magnetic moment approach
• Magneto-optical effects in the Landau level manifold of 2D lattices with spin-orbit interaction
• Magnetoelectric control of topological phases in graphene
• Experimental observation of spin-split energy dispersion in high-mobility single-layer graphene/WSe2 heterostructures
• Stacking-configuration-enriched essential properties in bilayer silicenes
• Spin-valley dependent double Andreev reflections in the proximitized graphene/superconductor junction
• Effect of proximity-induced spin-orbit coupling in graphene mesoscopic billiards
• Lévy flight for electrons in graphene in the presence of regions with enhanced spin-orbit coupling
• Landau levels in spin-orbit coupling proximitized graphene: bulk states
• Edge states in proximitized graphene ribbons and flakes in a perpendicular magnetic field: emergence of lone pseudohelical pairs and pure spin-current states
• Valley-dependent transport through graphene quantum dots due to proximity-induced, staggered spin-orbit couplings
• Topological characterization of modified Kane-Mele-Rashba models via local spin Chern marker
• Landau-level spectrum and the effect of spin-orbit coupling in monolayer graphene on transition metal dichalcogenides
• Dirac-Rashba fermions and quantum valley Hall insulators in graphene-based 2D heterostructures
• Chern junctions in Moiré-Patterned Graphene/PbI2