Trigonal warping and anisotropic band splitting in monolayer graphene due to Rashba spin-orbit coupling

Abstract

We study the electronic band structure of monolayer graphene when Rashba spin-orbit coupling is present. We show that if the Rashba spin-orbit coupling is stronger than the intrinsic spin-orbit coupling, the low energy bands undergo trigonal-warping deformation and that for energies smaller than the Lifshitz energy, the Fermi circle breaks up into separate parts. The effect is very similar to what happens in bilayer graphene at low energies. We discuss the possible experimental implications, such as threefold increase of the minimal conductivity for low electron densities, the wavenumber dependence of the band splitting and the spin polarization structure. Our theoretical predictions are in agreement with recent experimental results.

arXiv commentminor changes in the manuscript, a relevant experimental reference is added

References in corpus (18)

• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Spin-orbit gap of graphene: First-principles calculations
• Band-structure topologies of graphene: spin-orbit coupling effects from first principles
• Impurity induced spin-orbit coupling in graphene
• Rashba effect in the graphene/Ni(111) system
• Probing the Electronic Structure of Bilayer Graphene by Raman Scattering
• Spin-Orbit-Mediated Spin Relaxation in Graphene
• Graphene with Structure-Induced Spin-Orbit Coupling: Spin-Polarized States, Spin Zero Modes, and Quantum Hall Effect
• Electron spin relaxation in graphene: the role of the substrate
• Role of the trigonal warping on the minimal conductivity of bilayer graphene
• Giant spin rotation under quasiparticle-photoelectron conversion: Joint effect of sublattice interference and spin-orbit coupling
• Features due to spin-orbit coupling in the optical conductivity of single-layer graphene
• Topological winding properties of spin edge states in Kane-Mele graphene model
• Anisotropic minimal conductivity of graphene bilayers

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• Spin Dynamics and Relaxation in Graphene Dictated by Electron-hole Puddles
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• Floquet Engineering of Nonequilibrium Valley-Polarized Quantum Anomalous Hall Effect with Tunable Chern Number
• Chirality-induced spin texture switching in twisted bilayer graphene
• Rashba spin-orbit interaction in graphene armchair nanoribbons
• Spin-orbit coupling in a hexagonal ring of pendula
• Sublattice asymmetry and spin-orbit interaction induced out-of-plane spin polarization of photoelectrons
• Band bending and zero-conductance resonances controlled by edge electric fields in zigzag silicene nanoribbons
• Quantum Transport of Dirac fermions in graphene with a spatially varying Rashba spin-orbit coupling
• Anisotropic quantum transport in monolayer graphene in the presence of Rashba spin-orbit coupling
• Topological phase transition from trigonal warping in van der Waals multilayers
• Explicit derivation of the chiral and (generic) helical edge states for the Kane-Mele model: Closed expressions for the wave function, dispersion relation, and spin rotation
• Trigonal warping induced terraced spin texture and nearly perfect spin polarization in graphene with Rashba effect
• Bound States and Supercriticality in Graphene-Based Topological Insulators
• Anisotropic optical conductivity and electron-hole asymmetry in doped monolayer graphene in the presence of the Rashba coupling
• Rashba coupling induced spin susceptibility and magnetic phase transition of conduction electrons in monolayer graphene
• Intrinsic Spin-Orbit Interaction in Graphene
• Collision-dominated conductance in clean 2D metals
• Finite-size effects on the minimal conductivity in graphene with Rashba spin-orbit coupling
• Aharonov-Casher effect and quantum transport in graphene based nano rings: A self-consistent Born approximation
• Majorana edge states in s-wave kagome superconductors with Rashba interaction