Abstract:
We introduce phase space concepts to describe quantum states in a disordered system. The merits of an inverse participation ratio defined on the basis of the Husimi function are demonstrated by a numerical study of the Anderson model in one, two, and three dimensions. Contrary to the inverse participation ratios in real and momentum space, the corresponding phase space quantity allows for a distinction between the ballistic, diffusive, and localized regimes on a unique footing and provides valuable insight into the structure of the eigenstates.
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Received 5 March 2002
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Wobst, A., Ingold, GL., Hänggi, P. et al. From ballistic motion to localization: a phase space analysis. Eur. Phys. J. B 27, 11–14 (2002). https://doi.org/10.1140/epjb/e20020125
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DOI: https://doi.org/10.1140/epjb/e20020125