Lévy Flights in Quantum Transport in Quasiballistic Wires

M. L. Leadbeater, Vladimir I. Fal’ko, Colin J. Lambert

Type: Article

Publication Date: 1998-08-10

Citations: 36

DOI: https://doi.org/10.1103/physrevlett.81.1274

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 L\'evy flights. Application of a magnetic field deflects the L\'evy flights which reduces the localization length. This deflection also breaks geometrical flux cancellation and restores the usual Aharonov-Bohm type magnetoconductance fluctuations.

Locations

Physical Review Letters - View
arXiv (Cornell University) - View - PDF
Lancaster EPrints (Lancaster University) - View - PDF

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