ENERGY-SPECTRUM AND PERSISTENT CURRENTS IN FINITE-WIDTH MESOSCOPIC RING WITH RADIAL POTENTIAL BARRIER THREADING A MAGNETIC-FLUX THROUGH ITSHOLE

The energy spectrum and the persistent currents are calculated for a f inite-width mesoscopic annulus with radial potential barrier, threadin g a magnetic flux through the hole of the ring. Owing to the presence of tunneling barrier, the coupling effect leads to the splitting of ea ch radial energy subband of individual concentrical rings into two one . Thus, total currents and currents carried by single high-lying eigen state as a function of magnetic flux exhibit complicated patterns. How ever, periodicity and antisymmetry of current curves in the flux still preserve.