Lévy flights in quantum transport in quasi-ballistic wires

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

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Lévy flights in quantum transport in quasi-ballistic wires

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

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Abstract

Conductance fluctuations, localization and statistics of Lyapunov exponents are studied numerically in pure metallic wires with rough boundaries (quasi-ballistic 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 the geometrical flux cancellation and restores the usual Aharonov-Bohm type magneto-conductance fluctuations.

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M. Leadbeater, V. I. Falko, C. J. Lambert. 1999-02-11. Lévy flights in quantum transport in quasi-ballistic wires. https://arxiv.org/abs/cond-mat/9902161

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