TRANSMISSION THROUGH A ONE-DIMENSIONAL QUASI-PERIODIC LATTICE

The transmission characteristics of a one-dimensional quasiperiodic la ttice have been investigated. The transfer matrix method has been used to calculate numerically the transmission coefficient Tof a Kronig-Pe nney model on a quasiperiodic lattice with lattice intervals arranged according to the Fibonacci sequence. T has been studied as a function of the wave number k, length L of the sample and the strength xi of th e delta-function potential. Study reveals a rich structure for the tra nsmission properties of the system. It has been found that although fo r almost every k, T-->0 at large lengths, there are special energies w here T-->1 for large lengths depending on the value of xi.