Model study on disordered one-dimensional microstructures |
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Authors: | A Fuchs G Mahler |
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Institution: | Institut für theoretische Physik I, Universität Stuttgart, D 7000 Stuttgart 80, West Germany |
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Abstract: | Using a finite Kronig-Penney model the localization behavior is studied as a function of disorder and sample size for individual realizations as well as for ensembles. There is a number of effects typical for small disordered systems: e.g. level repulsion is found to be connected with resonant delocalization, and there is a pronounced N-odd/N-even effect in the transmission coefficient. Opposite to the thermodynamic limit the ensemble shows weakest fluctuation in the average transmission coefficient rather than in the average localization length. The 3-dimensional extension of the model which still behaves one-dimensional, demonstrates the importance of spatial correlations in addition to disorder strength. |
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