Two special cases of Anderson localisation
- 10 November 1980
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 13 (31) , 5701-5708
- https://doi.org/10.1088/0022-3719/13/31/011
Abstract
Two special cases of Anderson localisation which are considered relatively simple are the band-centre electron with only random hopping matrix elements, and the band-edge electron with random site energies. A careful investigation of these two cases shows that the band-centre electron is localised in the sense that the wavefunction does not extend over larger and larger spaces as the system becomes large. On the other hand, the band-edge electrons do become more and more extended in large systems because the uncertainty principle limits their curvature.Keywords
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