ON THE LOCALIZATION OF ELECTRONIC STATES IN ONE-DIMENSIONAL QUASILATTICES

For the localization of electronic states of one-dimensional quasilattices, two kinds of methods extensively used (KKT renormalization-group method and numerical simulation methods) have given contradictory, results. In this paper, an approach based on the transfer matrix method is adopted to deal with this problem in general. We confirm that the above two methods describe the ideal infinite quasilattices in different asymptotical ways. so different results are obtained. We also study analytically the localization of the zero-energy electronic states of the one-dimensional quasilattices, and provide some new results different from that of the previous work.