ne-dimensional Anderson model with dichotomic correlation

摘要

A one-dimensional diagonal tight binding electronic system with dichotomic correlated disorder is investigated. The correlation of random potential exponentially decays with distance and also with the dichotomic correlation parameter lambda. Using a appropriate approximation, an analytical transmission coefficient expression is obtained. The obtained analytical expression is then tested against the result of the direct numerical computation of the average transmission coefficient < T > for the Anderson model, by changing the system parameters. In the thermodynamic limit the transmission coefficient relation indicates the absence of localization-delocalization transition, which is entirely consistent with numerical predictions.