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Can fractal-like spectra be experimentally observed in aperiodic superlattices?

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1996-07
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Iop Publishing Ltd
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We numerically investigate the effects of inhomogeneities in the energy spectrum of aperiodic semiconductor superlattices, focusing our attention on Thue-Morse and Fibonacci sequences. In the absence of disorder, the corresponding electronic spectra are self-similar. The presence of a certain degree of randomness, due to imperfections occurring during the growth processes, gives rise to a progressive loss of quantum coherence, smearing out the finer details of the energy spectra predicted for perfect aperiodic superlattices and spurring the onset of electron localization. However, depending on the degree of disorder introduced, a critical size for the system exists, below which peculiar transport properties, related to the pre-fractal nature of the energy spectrum, may be measured.
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© Copyright IOP Publishing. Thanks are warmly due to Angel Sánchez for helpful discussions and critical reading of the manuscript. This work is supported by CICYT through project MAT95-0325.
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