On the upper critical dimension in Anderson localisation
- 1 December 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (17) , L1099-L1103
- https://doi.org/10.1088/0305-4470/19/17/009
Abstract
The authors show that the anomalous scaling behaviour of the moments of the wavefunction at the threshold of Anderson localisation implies a log-normal distribution for the probability mod psi mod 2 at first order in epsilon =d-2. They discuss this result and its implications critically and are led to conclude that the upper critical dimension of Anderson localisation is infinity.Keywords
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