Magnetic field driven instability of charged center in graphene
arXiv:1104.5339 · doi:10.1103/PhysRevB.83.235104
Abstract
It is shown that a magnetic field dramatically affects the problem of supercritical charge in graphene making any charge in gapless theory supercritical. The cases of radially symmetric potential well and Coulomb center in an homogeneous magnetic field are considered. The local density of states and polarization charge density are calculated in the first order of perturbation theory. It is argued that the magnetically induced instability of the supercritical Coulomb center can be considered as a quantum mechanical counterpart of the magnetic catalysis phenomenon in graphene.
10 pages, 4 figures; to be published in PRB
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- Landau level collapse in graphene in the presence of in-plane radial electric and perpendicular magnetic fields
- Bound States and Supercriticality in Graphene-Based Topological Insulators
- Critical behavior for point monopole and dipole electric impurities in uniformily and uniaxially strained graphene
- Magnetic field driven instability in planar NJL model in real-time formalism
- Massive and massless two-dimensional Dirac particles in electric quantum dots
- Tunable circular dipolelike system in graphene: Mixed electron-hole states
- WKB energy levels in gapped graphene under crossed electromagnetic fields