THE INFLUENCE OF PHASON DISORDER ON THE ELECTRONIC-SPECTRUM AND EIGENSTATES OF FIBONACCI LATTICES

The electronic properties of a Fibonacci lattice with one mistake (pha son flip) is studied. The phason is treated as a perturbation of the p erfect chain, and we show that it is equivalent to the presence of two substitutional impurities. The effects of the phason on the electroni c spectrum are that localized and resonant eigenstates are observed al l over the whole spectrum and the distribution of energy level-spacing is modified by reducing the tendency of lever-clustering. On the cont rary, it is also shown that phasons applied at certain sites of the ch ain left the spectrum unaffected. (C) 1998 Published by Elsevier Scien ce B.V.