Magnetic scattering of Dirac fermions in topological insulators and graphene
arXiv:1007.5398 · doi:10.1103/PhysRevB.82.155431
Abstract
We study quantum transport and scattering of massless Dirac fermions by spatially localized static magnetic fields. The employed model describes in a unified manner the effects of orbital magnetic fields, Zeeman and exchange fields in topological insulators, and the pseudo-magnetic fields caused by strain or defects in monolayer graphene. The general scattering theory is formulated, and for radially symmetric fields, the scattering amplitude and the total and transport cross sections are expressed in terms of phase shifts. As applications, we study ring-shaped magnetic fields (including the Aharanov-Bohm geometry) and scattering by magnetic dipoles.
11 pages, 4 figures
References in corpus (27)
- The electronic properties of graphene
- Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
- Suspended Graphene: a bridge to the Dirac point
- Ripple Texturing of Suspended Graphene Atomic Membranes
- Temperature dependent transport in suspended graphene
- Quantum interference and Klein tunneling in graphene heterojunctions
- The quantum spin Hall effect and topological insulators
- All-graphene integrated circuits via strain engineering
- Evidence of Klein tunneling in graphene p-n junctions
- Magnetic confinement of massless Dirac fermions in graphene
- Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
- AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
- Aharonov-Bohm effect and broken valley-degeneracy in graphene rings
- Valley filter in strain engineered graphene
- Multiple magnetic barriers in graphene
- Pseudomagnetic fields and ballistic transport in a suspended graphene sheet
- Peculiar Nature of Snake States in Graphene
- Supercritical Coulomb center and excitonic instability in graphene
- Conductance quantization and snake states in graphene magnetic waveguides
- Berry phase in graphene: a semiclassical perspective
- Quasi-bound states of Schrodinger and Dirac electrons in magnetic quantum dot
- Bound states in inhomogeneous magnetic field in graphene: a semiclassical approach
- Quantum transport of Dirac electrons in graphene in the presence of a spatially modulated magnetic field
- Magnetotransport of Dirac Fermions on the surface of a topological insulator
- Artifical atoms in interacting graphene quantum dots
- Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene
- Induced Current and Aharonov-Bohm Effect in Graphene
Cited by in corpus (10)
- Spin-helical transport in normal and superconducting topological insulators
- Optimal traps in graphene
- Scattering of Dirac electrons by circular mass barriers: valley filter and resonant scattering
- Electric dipole induced universality for Dirac fermions in graphene
- Signatures of Wigner molecule formation in interacting Dirac fermion quantum dots
- Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities
- Interaction-induced conductance from zero modes in a clean magnetic graphene waveguide
- Bound-states and polarized charged zero modes in three-dimensional topological insulators induced by a magnetic vortex
- Theory of multiple magnetic scattering for quasiparticles on a gapless topological insulator surface
- Electron scattering by magnetic impurity in Weyl semimetals