Abstract
We study the influence of evanescent modes on the scaling behavior of therenormalized localization length (RLL) in 2D disordered systems, using theδ-function potential strip model and the multichain tight-binding Anderson model. In theweak disorder regime we have evaluated the RLL for large numbers of modesM. It is shown that RLL shrinks with increasingM which indicates that the electron states will remain localized in an infinitely wide systemfor an arbitrarily small disorder, in agreement with existing theories. In the thermodynamiclimit () for the two models, we obtain the localization length in an infinitely large system. Weshow that the presence of evanescent modes enhances the RLL with respect to the valueobtained when evanescent modes are absent. We also derive an exact relationshipbetween the localization length and its corresponding average mean free path for anM-channel system for the case where propagating as well as evanescent channels arepresent.
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