Landau levels, edge states, and strained magnetic waveguides in graphene monolayers with enhanced spin-orbit interaction

Abstract

The electronic properties of a graphene monolayer in a magnetic and a strain-induced pseudo-magnetic field are studied in the presence of spin-orbit interactions (SOI) that are artificially enhanced, e.g., by suitable adatom deposition. For the homogeneous case, we provide analytical results for the Landau level eigenstates for arbitrary intrinsic and Rashba SOI, including also the Zeeman field. The edge states in a semi-infinite geometry are studied in the absence of the Rashba term. For a critical value of the magnetic field, we find a quantum phase transition separating two phases with spin-filtered helical edge states at the Dirac point. These phases have opposite spin current direction. We also discuss strained magnetic waveguides with inhomogeneous field profiles that allow for chiral snake orbits. Such waveguides are practically immune to disorder-induced backscattering, and the SOI provides non-trivial spin texture to these modes.

12 pages, 7 figures; v2: minor modifications, published version

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• Symmetry breaking effects on spin and electronic transport in graphene
• Energy spectrum and Landau levels in bilayer graphene with spin-orbit interaction
• Evolution of Landau levels in graphene-based topological insulators in the presence of wedge disclinations
• Landau levels and magnetic oscillations in gapped Dirac materials with intrinsic Rashba interaction
• Phase diagrams and edge-state transitions in graphene with spin-orbit coupling and magnetic and pseudomagnetic fields
• Impurity and edge roughness scattering in armchair graphene nanoribbons: Boltzmann approach
• Wave packet dynamics in monolayer MoS${}_2$ with and without a magnetic field
• Graphene-based topological insulator in the presence of a disclination submitted to a uniform magnetic field
• Interaction-induced conductance from zero modes in a clean magnetic graphene waveguide
• Bound States and Supercriticality in Graphene-Based Topological Insulators
• Landau levels in spin-orbit coupling proximitized graphene: bulk states
• Spectrum of edge states in the $\nu =0$ quantum Hall phases in graphene
• Edge states in proximitized graphene ribbons and flakes in a perpendicular magnetic field: emergence of lone pseudohelical pairs and pure spin-current states
• Spin-orbit interaction and snake states in graphene $p$-$n$ junctions
• Chiral spin channels in curved graphene $pn$ junctions
• Landau-level spectrum and the effect of spin-orbit coupling in monolayer graphene on transition metal dichalcogenides
• Helical liquid of snake states
• Harmonic generation in bent graphene with artificially-enhanced spin-orbit coupling
• Competing topological phases in few-layer graphene