Helicoidal Graphene Nanoribbons: Chiraltronics

Abstract

We present a calculation of the effective geometry-induced quantum potential for the carriers in graphene shaped as a helicoidal nanoribbon. In this geometry the twist of the nanoribbon plays the role of an effective transverse electric field in graphene and this is reminiscent of the Hall effect. However, this effective electric field has a different sign for the two iso-spin states and translates into a mechanism to separate the two chiral species on the opposing rims of the nanoribbon. Iso-spin transitions are expected with the emission or absorption of microwave radiation which could be adjusted to be in the THz region.

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Cited by in corpus (17)

• Quantum mechanics of a constrained particle and the problem of prescribed geometry-induced potential
• Electronic properties of bilayer graphene catenoid bridge
• Electronic properties of a nanotorus
• Electronic structure of helicoidal graphene: massless Dirac particles on a curved surface with a screw symmetry
• Position-dependent mass effects on a bilayer graphene catenoid bridge
• Growth and Properties of Dislocated Two-dimensional Layered Materials
• Dirac electrons on three-dimensional graphitic zeolites --- a scalable mass gap
• Photonic Modes in Twisted Graphene Nanoribbons
• Encoding quantum bits in bound electronic states of a graphene nanotorus
• No existence of the geometric potential for a Dirac fermion on two-dimensional curved surfaces of revolution
• Effects of a uniform magnetic field on twisted graphene nanoribbons
• General covariant geometric momentum, gauge potential and a Dirac fermion on a two-dimensional sphere
• Twist-Induced Effects on Weyl Pairs in Magnetized Graphene Nanoribbons
• Damped photonic modes in helical graphene
• Tunable Dirac points and zero-energy modes in periodic curved graphene superlattices
• Electronic states in quantum wires on a Möbius strip
• Electronic states in a bilayer graphene quantum ripple