Helicoidal graphene nanoribbons: Chiraltronics

Here, 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. But, this effective electric field has a different sign for the two isospin states and translates into a mechanism to separate the two chiral species on the opposing rims of the nanoribbon. Finally, isospin transitions are expected with the emission or absorption of microwave radiation which could be adjusted to be in the THz region.