Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-07-26
Phys. Rev. B 77, 081403(R) (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 5 figures
Scientific paper
10.1103/PhysRevB.77.081403
We study the dynamics of the electrons in a non-uniform magnetic field applied perpendicular to a graphene sheet in the low energy limit when the excitation states can be described by a Dirac type Hamiltonian. We show that as compared to the two-dimensional electron gas (2DEG) snake states in graphene exibit peculiar properties related to the underlying dynamics of the Dirac fermions. The current carried by snake states is locally uncompensated even if the Fermi energy lies between the first non-zero energy Landau levels of the conduction and valence bands. The nature of these states is studied by calculating the current density distribution. It is shown that besides the snake states in finite samples surface states also exist.
Cserti József
Kormanyos Andor
Lambert Jean-Charles
Oroszlany László
Rakyta Peter
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