Abstract:
In the one-dimensional Anderson model the eigenstates are localized for arbitrarily small amounts of disorder. In contrast, the Aubry-André model with its quasiperiodic potential shows a transition from extended to localized states. The difference between the two models becomes particularly apparent in phase space where Heisenberg's uncertainty relation imposes a finite resolution. Our analysis points to the relevance of the coupling between momentum eigenstates at weak potential strength for the delocalization of a quantum particle.
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Received 3 May 2002 / Received in final form 2 October 2002 Published online 29 November 2002
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Ingold, GL., Wobst, A., Aulbach, C. et al. Delocalization and Heisenberg's uncertainty relation. Eur. Phys. J. B 30, 175–179 (2002). https://doi.org/10.1140/epjb/e2002-00372-9
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DOI: https://doi.org/10.1140/epjb/e2002-00372-9