Electron Transport in a Magnetic Field: A Landauer-Formula Approach
The density of states as a function of a magnetic field and the magnetoconductance of two- and three-dimensional quasicrystalline model systems are calculated in a simple tight-binding description. The zero-field 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 that show finite values for the magnetoconductance as a function of the Fermi energy become larger with a growing field. The investigation of the high-field behavior uncovers an interesting structure of the spectra that is quasiperiodic with the field. This quasiperiod can be explained as a simple interference of periods in the incommensurate ratio of the areas perpendicular to the flux contained in the cluster.
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