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Active and Passive Electronic Components
Volume 20, Issue 1, Pages 45-52

Geometry Induced Localization of Electrons in Quantum Pillars

1Physics Department, University of Athens, Panepistimiopolis, Zografou, Athens 157 84, Greece
2Electrical and Computer Engineering Department, National Technical University of Athens, Polytechnioupolis, Zografou, Athens 157 73, Greece

Received 10 May 1996; Accepted 17 June 1996

Copyright © 1997 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We investigate the energies and wavefunctions of a structure consisting of one small cubic box centered on top of another larger with a uniform potential inside. This model is a representation of a quantum pillar on a substrate, a nanostructure with potential device applications. We find that the eigenstates are localized in one or the other of the boxes. Those in the large box are very well localized while those in the small are moderately so. Their energy and localization are studied with respect to the ratio of sides of the two boxes and compared with the results obtained with the small box closed by all sides.