Abstract
Numerical and analytical calculations of the electronic properties of a one-dimensional quasiperiodic lattice are presented. The lattice consists of two types of bonds A and B whose distribution follows the recursion formula Sl+1=Sml-1Snl where m, n=1, 2, 3, . . . and Sl is a building block sequence for l>or=2. An exact evaluation of the wavefunctions yields the scaling for several pairs of values of m and n. Numerical calculations of the wavefunction and the resistance reveal a rich self-similar structure as well as localisation for one of the quasiperiodic sequences studied.
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