Magnetic response of non-interacting and interacting electrons in a M'{o}bius strip

摘要

We investigate characteristic features of both non-interacting andinteracting electrons in a M\"{o}bius strip, the simplest possible one-sidedtopological system, in presence of an Aharonov-Bohm flux $\phi$. UsingHartree-Fock mean field theory we determine energy eigenvalues for theinteracting model, while for the non-interacting system an analyticalprescription is given. The interplay between longitudinal and vertical motionsof electrons along with on-site Hubbard interaction yield several anomalousfeatures of persistent current associated with energy-flux characteristics. Thevariation of current with system size and its temperature dependences are alsocritically examined. Current is highly sensitive to both these two factors, andwe find that for a particular system size it decreases exponentially withtemperature. Our analysis can be helpful in investigating electronic transportthrough any non-trivial topological material.