Lévy flights in quantum transport in quasi-ballistic wires

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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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Mesoscale and Nanoscale Physics, Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/29049

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9902161
 http://arxiv.org/abs/cond-mat/9902161
 Phys. Rev. Letts. Volume 81, Issue 6, (1998) pp. 1274-1277

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