Edged topological disordered quantum ring in the presence of magnetic flux

The effects of edged topological disorder on persistent current and magnetic susceptibility are investigated in a two-dimensional quantum ring enclosed within a magnetic flux in tight binding model. In an ordered quantum ring, persistent current shows kink-like variation, while in an edged topological disordered quantum ring, disorder-averaged current gets continuous variation due to appearance of energy gaps in energy spectra. Magnetic susceptibility has delta-like paramagnetic peaks in an ordered quantum ring, while in the edged topological disordered one; the delta-like peaks become wider and begin to overlap. In addition magnetic susceptibility versus magnetic flux shows a sign reversal, which depends on the disordered configuration. In the ordered quantum ring, the temperature-averaged current decreases when the temperature increases, while in the edged topological disordered one, at first temperature-averaged current raises somewhat and then reduces in a general thermal behavior manner. At absolute zero temperature, in strong regime; the disorder-averaged current versus magnetic flux is periodic with the period of Φ0/2Φ0/2; whereas, this period is Φ0Φ0 in weak regime or in an ordered one (Φ0Φ0 is magnetic flux quantum). Within higher temperatures, the period of Φ0Φ0 is achieved only in the ordered ring and Φ0/2Φ0/2 in either weak or strong regime, wide or narrow ring.