Relation between persistent current and band structure of finite-width mesoscopic rings

The energy bands of a finite-width mesoscopic multichannel ring are calculated using the transfer-matrix method. Two approaches are developed, the diagonal approximation and the multichannel model. We apply these results to the calculation of the persistent current in mesoscopic rings enclosing the magnetic flux Φ in the ballistic regime. It is shown that the interchannel coupling in a finite-width mesoscopic ring produces a halving of the fundamental period h/e of the persistent current ${\mathit{I}}_{\mathit{A}}^{\left(\mathit{n}\mathrm{̃}\right)}$(Φ).