Angular momentum anisotropy of Dirac carriers: A new twist in graphene

Abstract

Dirac carriers in graphene are commonly characterized by a pseudospin degree of freedom, arising from the degeneracy of the two inequivalent sublattices. The inherent chirality of the quasiparticles leads to a topologically non-trivial band structure, where the in-plane component of sublattice spin and momentum are intertwined. Equivalently, sublattice imbalance is intimately connected with angular momentum, inducing a torque of opposite sign at each Dirac point. In this work we develop an intuitive picture that associates sublattice spin and winding number with angular momentum. We develop a microscopic perturbative model to obtain the finite angular momentum contributions along the main crystallographic directions. Our results can be employed to determine the angular dependence of the g-factor and of light absorption in honeycomb bipartite structures.

arXiv comment9 Pages, 3 figures

References in corpus (30)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Topological Insulators
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Chiral tunneling and the Klein paradox in graphene
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Low-energy effective Hamiltonian involving spin-orbit coupling in Silicene and Two-Dimensional Germanium and Tin
• 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
• Graphene: new bridge between condensed matter physics and quantum electrodynamics
• Disorder, pseudospins, and backscattering in carbon nanotubes
• Graphene with Structure-Induced Spin-Orbit Coupling: Spin-Polarized States, Spin Zero Modes, and Quantum Hall Effect
• Adsorbate-limited conductivity of graphene
• Spin-orbit coupling in hydrogenated graphene
• Model spin-orbit coupling Hamiltonians for graphene systems
• Unveiling pseudospin and angular momentum in photonic graphene
• Intrinsic spin-orbit coupling gap and the evidence of a topological state in graphene
• Spin and the Honeycomb Lattice: Lessons from Graphene
• Band topology and quantum spin Hall effect in bilayer graphene
• Observation of the spin-orbit gap in bilayer graphene by one-dimensional ballistic transport
• Interaction Induced Quantum Valley Hall Effect in Graphene
• Universal momentum-to-real-space mapping of topological singularities
• Lattice quantum electrodynamics for graphene
• Dimensionality-driven photoproduction of massive Dirac pairs near threshold in gapped graphene monolayers
• Pseudo spin torque induced by strain field of Dirac fermions in graphene

Cited by in corpus (5)

• Topological phase transition in chiral graphene nanoribbons: from edge bands to end states
• Spin-valley coupling in single-electron bilayer graphene quantum dots
• Dirac imprints on the $g$-factor anisotropy in graphene
• Electrically Tunable Fine Structure of Negatively Charged Excitons in Gated Bilayer Graphene Quantum Dots
• Particle-hole symmetry broken solutions in graphene nanoribbons: a multi-orbital, mean-field perspective