Bilayer graphene Origami: curvature-induced p-n junctions

Abstract

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.

4 pages, 1 figure

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• Nonrelativistic quantum dynamics on a cone with and without a constraining potential
• Electronic properties of corrugated graphene, the Heisenberg principle and wormhole geometry in solid state
• Analogies in electronic properties of graphene wormhole and perturbed nanocylinder
• Landau levels, self-adjoint extensions and Hall conductivity on a cone
• Position-dependent mass effects in the electronic transport of two-dimensional quantum systems
• Geometric effects on the electronic structure of curved nanotubes and curved graphene: the case of the helix, catenary, helicoid, and catenoid
• Gate tunable non-linear currents in bilayer graphene diodes
• Induced magnetic moment for a spinless charged particle in the thin-layer approach
• Geometric Potential Resulting from Dirac Quantization
• Position-dependent mass effects on a bilayer graphene catenoid bridge
• Curvature effects on collective excitations in dumbbell-shaped hollow nanotubes
• Electronic states in a quantum Beltrami surface
• General covariant geometric momentum, gauge potential and a Dirac fermion on a two-dimensional sphere
• Quantum heat machines enabled by twisted geometry
• Electronic states in a bilayer graphene quantum ripple