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

We present an exact algebraic solution of a single graphene plane in transverse electric and perpendicular magnetic fields. The method presented gives both the eigenvalues and the eigenfunctions of the graphene plane. It is shown that the eigenstates of the problem can be cast in terms of coherent s...

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Bibliographic Details
Published in:Journal of physics. Condensed matter 2007-10, Vol.19 (40), p.406231-406231 (10)
Main Authors: Peres, N M R, Castro, Eduardo V
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures
Electronic structure of nanoscale materials : clusters, nanoparticles, nanotubes, and nanocrystals
Exact sciences and technology
Physics
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Summary:We present an exact algebraic solution of a single graphene plane in transverse electric and perpendicular magnetic fields. The method presented gives both the eigenvalues and the eigenfunctions of the graphene plane. It is shown that the eigenstates of the problem can be cast in terms of coherent states, which appears in a natural way from the formalism.
ISSN:0953-8984
1361-648X
DOI:10.1088/0953-8984/19/40/406231