STRUCTURE OF MOBILITY EDGES IN A ONE-DIMENSIONAL INCOMMENSURATE MODEL

The localization of the Soukoulis-Economou model in one-dimensional incommensurate systems is studied by the use pf multifractal analysis. In the case of epsilon(n) = 1.9[cos(2 pi omega n)+ 1/3cos(4 pi omega n)] and omega = lim(l) (-->) (infinity) F-l-1/F-l where F-l is the generalized Fibonacci number satisfying the recursion relation F-l = 8F(l-1)+ F-l-1 with F-0 = F-1 = 1, we have numerically found a hierarchical and selfsimilar structure of mobility edges. The results suggest the existence of an infinite number of mobility edges.