Abstract
The electronic properties of a one-dimensional (1D) disordered system are studied with a model describing the linear composition of two binary compounds with random layer thicknesses; the model is studied with Dean's method, the transfer-matrix method, and Landauer's formula. For certain degrees of randomness, the energy spectrum, some wave functions, and the average resistivity are obtained. The appearance of some special peaks in the spectrum is due to a particular arrangement of atoms that occurs randomly. Some wave functions remain delocalized with disorder, contrary to the general theorem on the absence of such states in 1D disordered systems.
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