Transmission through a one dimensional quasiperiodic lattice

The transmission characteristics of a one-dimensional quasiperiodic lattice have been investigated. The transfer matrix method has been used to calculate numerically the transmission coefficient Tof a Kronig-Penney 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 the delta-function potential. Study reveals a rich structure for the transmission properties of the system. It has been found that although for almost every k, T-->0 at large lengths, there are special energies where T-->1 for large lengths depending on the value of xi.