Physics – Condensed Matter – Materials Science
Scientific paper
2010-02-02
Physics
Condensed Matter
Materials Science
8 pages, 5 figures
Scientific paper
It is shown that for monolayer graphene electrons are confined on a perfect two dimensional surface. The implications for the electronic properties of corrugated graphene are discussed in view of a derivation of the constrained relativistic dynamics for the massless carriers in two dimensions. Surface curvature is related to a series of phenomena with practical applications such as curvature induced p-n junctions, band gap opening and decoherence. We also establish a bending free energy by treating graphene as a soft electronic membrane.
Atanasov Victor
Saxena Avadh
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