Reduction scheme for coupled Dirac systems
arXiv:2104.10582 · doi:10.1088/1751-8121/ac2a06
Abstract
We analyze a class of coupled quantum systems whose dynamics can be understood via two uncoupled, lower-dimensional quantum settings with auxiliary interactions. The general reduction scheme, based on algebraic properties of the potential term, is discussed in detail for two-dimensional Dirac Hamiltonian. We discuss its possible application in description of Dirac fermions in graphene or bilayer graphene in presence of distortion scattering or spin-orbit interaction. We illustrate the general results on the explicit examples where the involved interactions are non-uniform in space and time.
arXiv commentto appear in J. Phys. A
References in corpus (22)
- The electronic properties of graphene
- Quantum Spin Hall Effect in Graphene
- The electronic properties of bilayer graphene
- Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
- Weak localisation magnetoresistance and valley symmetry in graphene
- Colloquium: Spintronics in graphene and other two-dimensional materials
- Strong interface-induced spin-orbit coupling in graphene on WS2
- Existence and topological stability of Fermi points in multilayered graphene
- Low energy theory of disordered graphene
- Klein tunneling in carbon nanostructures: a free particle dynamics in disguise
- Super-Klein tunneling of Dirac fermions through electrostatic gratings in graphene
- Magnetic field barriers in graphene: an analytically solvable model
- Spectrally isomorphic Dirac systems: graphene in electromagnetic field
- Thermoelectric effects in graphene with local spin-orbit interaction
- Darboux transformation for a general Dirac equation in two dimensions
- Electron in bilayer graphene with magnetic fields leading to shape invariant potentials
- Graphene p-n junctions with nonuniform Rashba spin-orbit coupling
- Bilayer graphene in magnetic fields generated by supersymmetry
- Graphene pn-junction in a quantizing magnetic field: Conductance at intermediate disorder strength
- Quantum Transport of Dirac fermions in graphene with a spatially varying Rashba spin-orbit coupling
- Two-dimensional Dirac fermion in presence of an asymmetric vector potential
- The influence of anisotropic Rashba spin-orbit coupling on current-induced spin polarization in graphene