Electron localisation in a random potential: a random walk analogue
- 10 September 1980
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 13 (25), L667-L669
- https://doi.org/10.1088/0022-3719/13/25/001
Abstract
A criterion related to the uncertainty principle is used to determine whether a random walk on a random lattice is localised or extended. Algebraic and exponential localisation lengths are found in one and two dimensions, threshold behaviour in three or more, and mean field behaviour in four or more.Keywords
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