Graphene with wedge disclination in the presence of intrinsic and Rashba spin orbit couplings

Abstract

In this article, the modified Kane-Mele Hamiltonian is derived for graphene with wedge disclination and spin orbit couplings (intrinsic and Rashba). The wedge disclination changes the flat lattice into the conical lattice and hence modifies the spin orbit couplings. The Hamiltonian is exactly solved for the intrinsic spin orbit interaction and perturbatively for the Rashba spin orbit interaction. It is shown that there exists the Kramer's degenerate midgap localized spin separated fluxon states around the defect. These zero energy spin separated states occur at the external magnetic flux value $\Phi \pm \Delta \Phi$. The external magnetic flux $\Phi$ is introduced to make the wave-function periodic when the electron circulates around the defect. It is found that this separation occurs due to the effect of the conical curvature on the spin orbit coupling. Further, we find these results are robust to the addition of the Rashba spin orbit interaction which is important for the application to spintronics and nanoelectronics.

arXiv comment6 pages ,3 figures ,Change in title

References in corpus (21)

• Topological Insulators
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Topological Insulators with Inversion Symmetry
• Topological Insulator Materials
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Gauge fields in graphene
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Antiferromagnetic topological insulators
• Impurity induced spin-orbit coupling in graphene
• Helical Metal Inside a Topological Band Insulator
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes
• Large spin-orbit coupling in carbon nanotubes
• Topological Phases in Graphitic Cones
• Spin-charge Separated Solitons in a Topological Band Insulator
• Proximity-induced giant spin-orbit interaction in epitaxial graphene on topological insulator
• Bound States of Conical Singularities in Graphene-Based Topological Insulators
• Topological Signatures in the Electronic Structure of Graphene Spirals
• Topological Invariant and Quantum Spin Models from Magnetic π Fluxes in Correlated Topological Insulators
• Scattering of charge carriers in graphene induced by topological defects
• Scattering of charge carriers in graphene induced by topological defects

Cited by in corpus (4)

• Nonlinear quantum optical properties of graphene: the role of chirality and symmetry
• Evolution of Landau levels in graphene-based topological insulators in the presence of wedge disclinations
• Graphene-based topological insulator in the presence of a disclination submitted to a uniform magnetic field
• Boundary conditions and Green function approach of the spin-orbit interaction in the graphitic nanocone