Lévy flights in quantum transport in quasi-ballistic wires

Details Lévy flights in quantum transport in quasi-ballistic wires Lévy flights in quantum transport in quasi-ballistic wires

1999-02-11

arxiv.org/abs/cond-mat/9902161v1

Phys. Rev. Letts. Volume 81, Issue 6, (1998) pp. 1274-1277

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Available also at http://roberto.fis.uniroma3.it/leadbeat/pub.html

Scientific paper

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 L\'{e}vy flights. Application of a magnetic field deflects the L\'{e}vy 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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