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Lévy Flights in Quantum Transport in Quasiballistic Wires

Lévy Flights in Quantum Transport in Quasiballistic Wires

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 …