Algebraic solution of a graphene layer in a transverse electric and perpendicular magnetic fields

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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11 pages, 5 figures, accepted for publication in Journal of Physics Condensed Matter

Scientific paper

10.1088/0953-8984/19/40/406231

We present an exact algebraic solution of a single graphene plane in
transverse electric and perpendicular magnetic fields. The method presented
gives both the eigen-values and the eigen-functions of the graphene plane. It
is shown that the eigen-states of the problem can be casted in terms of
coherent states, which appears in a natural way from the formalism.

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