PERSISTENT CURRENTS IN MESOSCOPIC FIBONACCI RINGS

In the framework of a tight-binding model, we study energy spectra and persistent currents in mesoscopic Fibonacci rings threaded by a magne tic flux. It is found that the flux-dependent electron eigenenergies E (Phi) in mesoscopic Fibonacci rings still form ''bands'' with respect to the flux Phi, but there is a scaling relation between the total ''b andwidth'' and the Fibonacci number. When the strength of the one-dime nsional quasiperiodic potential increases, the persistent current decr eases rapidly. Interestingly, for a generalized mixing model of mesosc opic Fibonacci rings, free-electron-like persistent current may appear if the number of electrons of the system lakes a specific value.