Localization of electronic wave functions due to local topology
- 15 October 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 34 (8) , 5208-5211
- https://doi.org/10.1103/physrevb.34.5208
Abstract
We present a simple two-dimensional hopping model for independent electrons which has strictly localized states in addition to the extended states. These localized states can exist either in a band gap or within the continuum. The localized states persist if the lattice periodicity is destroyed. Finally, the effect is shown to hold for a much more general class of systems.Keywords
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