A Kronig-Penky model with a constant elecrric field F for a non-interacting electron is used to study the msmission properties of the Anderson transition in one-dimensional systems with disordered &function potentials. We examine the cues where the potential varies uniformly from 0 to W (barriers) or from -W to 0 (wells) for a given disorder W. We observe jumps in the transmission coefficient at the points E + Fx = n2nz (where E is the electron energy and n an integer). These jumps are related to the small oscillations observed by Soukoulis et nf in the mixed m e (potentials from -WIZ to WIZ). However. an interesting feature is found in the wells in the range between two jumps. It is observed that in the presence of a small field the states become more localized and the localization length decreases up to a minimum for a critical value F, instead of increasing. Finally, we have studied thc effect of the disorder on the Anderson transition by means of the participation nfio and the localization length.
We study the origin of the compensation in disordered mixed systems of the Wannier-Stark ladder effects observed previously as strong jumps of the transmission coefficient in ordered and disordered systems with potential wells and barriers subjected to a bias voltage. The one-dimensional Kronig-Penney model is used to investigate this problem by means of the transmission coefficient. We found that the band spectrum of the systems with barriers is shifted in comparison with the corresponding spectra of those with wells. Therefore the delocalization of each system in an electric field corresponds to the localization of the other. We found also that the disorder conserves the bandwidth of the ordered system if the average potential strength corresponds to the potential strength of this system.
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