We discuss the localization behavior of quantum particles in a one-dimensional Anderson model with correlated and uncorrelated random potentials. We are interested in the question if a localization-delocalization transition in these systems can occur and what the conditions are that allow for such a transition between localized and extended states. For the particular case of self-affine potential landscapes we show that a localization-delocalization transition reported recently only occurs, if the variance of the potential fluctuations is kept fixed for all system sizes. If no constraints on the variance are imposed, a new type of `strong' localization occurs in self-affine systems. All states are strongly localized in a way different from the usual Anderson localized states.
|Number of pages||11|
|Journal||Journal of Molecular Liquids|
|State||Published - Jun 2000|
|Event||The Polish-Israeli-German Symposium 'Dynamical Processes in Condensed Molecular Systems' - Cracow, Pol|
Duration: 19 Jun 1999 → 23 Jun 1999
Bibliographical noteFunding Information:
We thank the German Israeli Foundation and the Minerva Foundation for financial support.