Abstract
A simple numerical method for studying the effect of an applied magnetic field on the energy spectrum of non-periodic superlattice structures is presented. The magnetic field could be either parallel or perpendicular to the growth direction. The authors method is based on the transfer matrix technique and on the effective-mass approximation. They discuss the advantages and disadvantages of the proposed approach using several examples. In particular, they study the perturbation to the energy spectrum of a periodic superlattice induced by the introduction of an enlarged well. They found that these perturbations are negligible to B//z but significant for B perpendicular to z. Preliminary results for Fibonacci superlattices in magnetic fields are also presented. In these quasi-periodic structures the energy levels become strongly dispersive in the presence of a perpendicular magnetic field.
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