Tuning electronic properties of corrugated graphene: confinement, curvature and band gap opening

Physics – Condensed Matter – Materials Science

Scientific paper

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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.

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