Abstract

Electronic transmittance in a one-dimensional tight-binding incommensurate potential has been studied numerically for states in the vicinity of the mobility edge by multifractal analysis. Multifractal analysis shows a spectrum of scaling exponents for the normalized transmittance (over the system size) near the transition from extended to localized states. For the critical states the authors have computed dimensionless resistance related through the Landauer formula and shown that it does not have an exponential nature.

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