Geometry Induced Localization of Electrons in Quantum Pillars
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 ei...
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| Format: | Article |
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Hindawi Limited
1997-01-01
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| Series: | Active and Passive Electronic Components |
| Online Access: | http://dx.doi.org/10.1155/1997/23861 |
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doaj-d8f69dff15294209a03b22d18df113552020-11-25T00:07:23ZengHindawi LimitedActive and Passive Electronic Components0882-75161563-50311997-01-01201455210.1155/1997/23861Geometry Induced Localization of Electrons in Quantum PillarsIoannis G. Tigelis0John P. Xanthakis1Physics Department, University of Athens, Panepistimiopolis, Zografou, Athens 157 84, GreeceElectrical and Computer Engineering Department, National Technical University of Athens, Polytechnioupolis, Zografou, Athens 157 73, GreeceWe 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.http://dx.doi.org/10.1155/1997/23861 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ioannis G. Tigelis John P. Xanthakis |
| spellingShingle |
Ioannis G. Tigelis John P. Xanthakis Geometry Induced Localization of Electrons in Quantum Pillars Active and Passive Electronic Components |
| author_facet |
Ioannis G. Tigelis John P. Xanthakis |
| author_sort |
Ioannis G. Tigelis |
| title |
Geometry Induced Localization of Electrons in Quantum Pillars |
| title_short |
Geometry Induced Localization of Electrons in Quantum Pillars |
| title_full |
Geometry Induced Localization of Electrons in Quantum Pillars |
| title_fullStr |
Geometry Induced Localization of Electrons in Quantum Pillars |
| title_full_unstemmed |
Geometry Induced Localization of Electrons in Quantum Pillars |
| title_sort |
geometry induced localization of electrons in quantum pillars |
| publisher |
Hindawi Limited |
| series |
Active and Passive Electronic Components |
| issn |
0882-7516 1563-5031 |
| publishDate |
1997-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/1997/23861 |
| work_keys_str_mv |
AT ioannisgtigelis geometryinducedlocalizationofelectronsinquantumpillars AT johnpxanthakis geometryinducedlocalizationofelectronsinquantumpillars |
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1725418629755830272 |