Abstract
We explore the phenomenon of flux-driven circular current in a mesoscopic conducting ring where site energies are modulated in the cosine form following the well-known Aubry-André-Harper (AAH) model. Due to unique and diverse characteristic features of AAH potential several atypical features of persistent current are found, associated with the electron filling and AAH phase factor. Finally, a transition from a conducting phase to an insulating one upon the variation of AAH modulation strength is discussed by studying Drude weight. Our analysis might be useful to examine the magnetic response of any other similar class of aperiodic lattices.
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