Lévy flights in quantum transport in quasiballistic wires

M. Leadbeater, V. I. Falko, C. J. Lambert

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Conductance fluctuations, localization, and statistics of Lyapunov exponents are studied numerically in pure metallic wires with rough boundaries (quasiballistic wires). We find that the correlation energy of conductance fluctuations scales anomalously with the sample dimensions, indicating the role of Lévy flights. Application of a magnetic field deflects the Lévy flights which reduces the localization length. This deflection also breaks geometrical flux cancellation and restores the usual Aharonov-Bohm type magnetoconductance fluctuations.

    Original languageEnglish
    Pages (from-to)1274-1277
    Number of pages4
    JournalPhysical Review Letters
    Volume81
    Issue number6
    Publication statusPublished - 1998

    Research Beacons, Institutes and Platforms

    • National Graphene Institute

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