Carbon nanoscrolls are material structures that have been shown to exhibit excellent performances in electric capacity and carrier mobility. They also represent a prime realization of radial superlattices whose geometric shape is expected to modulate the electronic and magnetic properties. Here, we show that these nanostructures display the Aharonov-Bohm effect even if they do not possess the closed cylindrical geometry of carbon nanotubes. Using a combination of density functional theory calculations and low-energy continuum models, we determine the electronic states in a simple two-winding carbon nanoscroll, and indeed show oscillations of the energy levels in the presence of an axial magnetic field. We prove that these oscillations, and hence the occurrence of the Aharonov-Bohm effect, are entirely due to electronic tunneling between the two windings of the spiral-shaped scroll. We also show that the open geometry of the scroll leads to the occurrence of one-dimensional conducting channels. Our study establishes the occurrence of the Aharonov-Bohm effect as a generic property of radial superlattices, including the recently synthesized high-order van der Waals superlattices.
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