By. Gu et al., STRUCTURES OF ENERGY-SPECTRUM AND PERSISTENT CURRENTS IN MESOSCOPIC RINGS WITH RADIAL POTENTIAL BARRIER IN MAGNETIC-FIELD, Zeitschrift fur Physik. B, Condensed matter, 104(3), 1997, pp. 509-512
The energy spectrum and the persistent currents are calculated for fin
ite-width mesoscopic annular structures with radial potential barrier
in the presence of a magnetic field. The introduction of the tunneling
barrier leads to the creation of extra edge states around the barrier
and the occurrence of oscillatory structures superimposed on the bulk
Landau level plateaus in the energy spectrum. We found that the Fermi
energy E-F increases with the number of electrons N emerging many kin
ks. The single eigenstate persistent current exhibits complicated stru
ctures with vortex-like texture, ''bifurcation'', and multiple ''furca
tion'' patterns as N is increased. The total currents versus N display
wild fluctuations.