Bilayer graphene Origami: curvature-induced p-n junctions

Details Bilayer graphene Origami: curvature-induced p-n junctions Bilayer graphene Origami: curvature-induced p-n junctions

2009-09-12

arxiv.org/abs/0909.2383v1

Phys. Rev. B 80, 153405 (2009)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 1 figure

Scientific paper

10.1103/PhysRevB.80.153405

A massive quantum particle on a two-dimensional curved surface experiences a surface-geometry induced attractive potential that is characterized by the radii of curvature at a given point. With bilayer graphene sheets and carbon nano-ribbons in mind, we obtain the geometric potential V_G for several surface shapes. Under appropriate conditions that we discuss in detail, this potential suppresses the local Fermi energy. Therefore, we argue that in zero band-gap materials with a quadratic band structure, it will create p- and n-type regions. We discuss the consequences of this result, and suggest that surface curvature can provide a novel avenue to create p-n junctions and, in general, to control local electronic properties in bilayer graphene sheets.

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