RELATION BETWEEN PERSISTENT CURRENT AND BAND-STRUCTURE OF FINITE-WIDTH MESOSCOPIC RINGS

The energy bands of a finite-width mesoscopic multichannel ring are ca lculated using the transfer-matrix method. Two approaches are develope d, the diagonal approximation and the multichannel model. We apply the se results to the calculation of the persistent current in mesoscopic rings enclosing the magnetic flux Phi in the ballistic regime. It is s hown that the interchannel coupling in a finite-width mesoscopic ring produces a halving of the fundamental period h/e of the persistent cur rent I-A((n))Phi.