  We investigate characteristic features of both non-interacting and
interacting electrons in a M\"{o}bius strip, the simplest possible one-sided
topological system, in presence of an Aharonov-Bohm flux $\phi$. Using
Hartree-Fock mean field theory we determine energy eigenvalues for the
interacting model, while for the non-interacting system an analytical
prescription is given. The interplay between longitudinal and vertical motions
of electrons along with on-site Hubbard interaction yield several anomalous
features of persistent current associated with energy-flux characteristics. The
variation of current with system size and its temperature dependences are also
critically examined. Current is highly sensitive to both these two factors, and
we find that for a particular system size it decreases exponentially with
temperature. Our analysis can be helpful in investigating electronic transport
through any non-trivial topological material.
