  Radial superlattices are nanostructured materials obtained by rolling-up thin
solid films into spiral-like tubular structures. The formation of these
"high-order" superlattices from two-dimensional crystals or ultrathin films is
expected to result in a transition of transport characteristics from
two-dimensional to one-dimensional. Here, we show that a transport hallmark of
radial superlattices is the appearance of magnetoconductance modulations in the
presence of externally applied axial magnetic fields. This phenomenon
critically relies on electronic interlayer tunneling processes that activates
an unconventional Aharonov-Bohm-like effect. Using a combination of density
functional theory calculations and low-energy continuum models, we determine
the electronic states of a paradigmatic single-material radial superlattice --
a two-winding carbon nanoscroll -- and indeed show momentum-dependent
oscillations of the magnetic states in axial configuration, which we
demonstrate to be entirely due to hopping between the two windings of the
spiral-shaped scroll.

Materials Science;Quantum Physics