By. Gu et al., ENERGY-SPECTRUM AND PERSISTENT CURRENTS IN FINITE-WIDTH MESOSCOPIC RING WITH RADIAL POTENTIAL BARRIER THREADING A MAGNETIC-FLUX THROUGH ITSHOLE, International journal of modern physics b, 12(6), 1998, pp. 663-672
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.