Effect of surface curvature on magnetic moment and persistent currents in two-dimensional quantum rings and dots

The effect of the surface curvature on the magnetic moment and persistent currents in two-dimensional quantum rings and dots is investigated. It is shown that the surface curvature decreases the spacing between neighboring maxima of de Haas–van Alphen type oscillations of the magnetic moment of a ring and decreases the amplitude and period of Aharonov-Bohm type oscillations. In the case of a quantum dot, the surface curvature reduces the level degeneracy at zero magnetic fields. This leads to a suppression of the magnetic moment at low magnetic fields. The relation between the persistent current and the magnetic moment is studied. We show that the surface curvature decreases the amplitude and the period of persistent current oscillations.