CHARACTERIZATION OF THE TRANSMISSION RESONANCES IN DIFFERENT ENERGY REGIMES BY THE MULTIFRACTAL SCALING ANALYSIS OF THE ELECTRONIC TRANSMITTANCE IN A ONE-DIMENSIONAL RANDOM-DIMER POTENTIAL

A detailed numerical study of electronic transmittance has been carrie d out to analyse the nature of the metallic behaviour around the dimer site energy. The transmittance versus energy curve exhibits resonance features, i.e. it becomes nearly flat at and around the dimer on-site energy apart from showing other transmission resonances. The spatial variation of the transmittance for energies in the vicinity of the dim er on-site energy shows Bloch-like extended character. For electron en ergies slightly away from this region, the transmittance shows some os cillation with energy, and the transmission resonances show spatial va riation, having fragmented character which may be attributed to the de viation from the typical Bloch-like extended character of the states i n the vicinity of the dimer on-site energy. Our multifractal scaling a nalysis for the normalized transmittance distinguishes the resonances in the two different regimes.