Journals of the American Physical Society - Theory of snake states in graphene

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January 2008, to be published in Physical Review B15

Theory of snake states in graphene
P. Rakyta, L. Oroszl\'{a}ny, A. Korm\'{a}nyos, C. J. Lambert, and J. Cserti

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. Compared to the two-dimensional electron gas (2DEG) systems, we show that 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 leading to a current inhomogeneity in the ground state.

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