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Anomalous wavefunction statistics on a one-dimensional lattice with power-law disorder .

Titov, M. and Schomerus, H. (2003) Anomalous wavefunction statistics on a one-dimensional lattice with power-law disorder . Physical Review Letters, 91. p. 176601.

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    Abstract

    Within a general framework, we discuss the wave function statistics in the Lloyd model of Anderson localization on a one-dimensional lattice with a Cauchy distribution for random on-site potential. We demonstrate that already in leading order in the disorder strength, there exists a hierarchy of anomalies in the probability distributions of the wave function, the conductance, and the local density of states, for every energy which corresponds to a rational ratio of wavelength to lattice constant. Power-law rather than log-normal tails dominate the short-distance wave-function statistics.

    Item Type: Article
    Journal or Publication Title: Physical Review Letters
    Subjects: UNSPECIFIED
    Departments: Faculty of Science and Technology > Physics
    ID Code: 674
    Deposited By: Dr Henning Schomerus
    Deposited On: 31 Oct 2007
    Refereed?: Yes
    Published?: Published
    Last Modified: 26 Jul 2012 18:18
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/674

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