QUANTUM MAGNETIC CONFINEMENT AND TRANSPORT IN SPHERICAL 2-DIMENSIONALELECTRON GASES

We present results from a theoretical study of a ballistic electron co nfined to move in either a spherical or hemispherical noninteracting t wo-dimensional electron gas in a nonuniform magnetic field, arising as a result of an applied axial held. We calculate the ground-state ener gy as a function of magnetic-field strength and the dispersion relatio n for isolated systems. We then discuss quantum ballistic transport on a contacted sphere, a system which is topologically equivalent to a C orbino disk, as a function of Fermi energy and magnetic-field strength .