ELECTRONIC-PROPERTIES OF 2-DIMENSIONAL AND 3-DIMENSIONAL QUASI-CRYSTALLINE MODEL SYSTEMS IN A MAGNETIC-FIELD

The density of states as a function of the magnetic field and the magn etoconductance of two-and three-dimensional quasicrystalline model sys tems are calculated in a simple tight-binding description. The zero-fi eld spectra are known to show a very complicated spiky structure with many small gaps. A magnetic field leads to a more uniform distribution of the states. Correspondingly, the energy regions showing finite val ues for the magnetoconductance as a function of the Fermi energy becom e larger with a growing field. The investigation of the high-field beh avior uncovers an interesting structure of the spectra quasiperiodic w ith the field. This quasiperiod can be explained as a simple interfere nce of periods in the incommensurable ratio of the areas perpendicular to the flux contained in the cluster.