Edge States and Quantum Hall Effect in Graphene under a Modulated Magnetic Field
arXiv:0912.2494 · doi:10.1103/PhysRevB.82.155421
Abstract
Graphene properties can be manipulated by a periodic potential. Based on the tight-binding model, we study graphene under a one-dimensional (1D) modulated magnetic field which contains both a uniform and a staggered component. New chiral current-carrying edge states are generated at the interfaces where the staggered component changes direction. These edge states lead to an unusual integer quantum Hall effect (QHE) in graphene, which can be observed experimentally by a standard four-terminal Hall measurement. When Zeeman spin splitting is considered, a novel state is predicted where the electron edge currents with opposite polarization propagate in the opposite directions at one sample boundary, whereas propagate in the same directions at the other sample boundary.
5 pages, 4 figures
References in corpus (18)
- The electronic properties of graphene
- Half-Metallic Graphene Nanoribbons
- Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
- Valley filter and valley valve in graphene
- Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
- Periodically rippled graphene: growth and spatially resolved electronic structure
- Dirac Cones and Minigaps for Graphene on Ir(111)
- First direct observation of Dirac fermions in graphite
- Spin Filtered Edge States and Quantum Hall Effect in Graphene
- New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
- Unit cell of graphene on Ru(0001): a 25 x 25 supercell with 1250 carbon atoms
- Multiple magnetic barriers in graphene
- Landau Levels and Quantum Hall Effect in Graphene Superlattices
- Peculiar Nature of Snake States in Graphene
- Conductance quantization and snake states in graphene magnetic waveguides
- Wavevector-dependent spin filtering and spin transport through magnetic barriers in graphene
- Magnetic edge states in graphene in nonuniform magnetic fields
- Induced chiral Dirac fermions in graphene by a periodically modulated magnetic field