Functionalized Graphene in Quantizing Magnetic Field: The case of bunched impurities
arXiv:1407.5334 · doi:10.1103/PhysRevB.90.235130
Abstract
Resonant scattering at the atomic absorbates in graphene was investigated recently in relation with the transport and gap opening problems. Attaching an impurity atom to graphene is believed to lead to the creation of unusual zero energy localized electron states. This paper aims to describe the behavior of the localized impurity-induced levels in graphene in a quantizing magnetic field. It is shown that in the magnetic field the impurity level effectively hybridizes with one of the n=0 Landau level states and splits into two opposite-energy states. The new hybridized state is doubly occupied, forming a spin-singlet and reducing the polarization of a Quantum Hall ferromagnet in undoped graphene. Taking into account the electron-electron interaction changes radically the spectrum of the electrons surrounding the impurity, which should be seen experimentally. While existing publications investigate graphene uniformly covered by adatoms, here we address a possibly even more experimentally relevant case of the clusterized impurity distribution. The limit of a dense bunch of the impurity atoms is considered, and it is shown, how such a bunch changes the spectrum and spin polarization of a large dense electron droplet surrounding it. The droplet is encircled by an edge state carrying a persistent current.
14 pages, 5 figures
References in corpus (18)
- The electronic properties of graphene
- Control of graphene's properties by reversible hydrogenation
- Unconventional Integer Quantum Hall effect in graphene
- Realization of a High Mobility Dual-gated Graphene Field Effect Transistor with Al2O3 Dielectric
- Disorder Induced Localized States in Graphene
- Spin Filtered Edge States and Quantum Hall Effect in Graphene
- Magnetism in Disordered Graphene and Irradiated Graphite
- Tuning the effective fine structure constant in graphene: opposing effects of dielectric screening on short- and long-range potential scattering
- Resonant scattering by realistic impurities in graphene
- Monovalent impurities on graphene: midgap states and migration barriers
- Long-Range Interaction Between Adatoms in Graphene
- Diffusion and criticality in undoped graphene with resonant scatterers
- Resonant low-energy electron scattering on short-range impurities in graphene
- Peierls-type Instability and Tunable Band Gap in Functionalized Graphene
- Sublattice ordering in a dilute ensemble of defects in graphene
- Color-dependent conductance of graphene with adatoms
- Transport anomaly at the ordering transition for adatoms on graphene
- Resonant finite-size impurities in graphene, unitary limit and Friedel oscillations