L\'{e}vy flights in quantum transport in quasi-ballistic wires
Mesoscale and Nanoscale Physics
2007-05-23 v1 Disordered Systems and Neural Networks
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 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.
Cite
@article{arxiv.cond-mat/9902161,
title = {L\'{e}vy flights in quantum transport in quasi-ballistic wires},
author = {M. Leadbeater and V. I. Falko and C. J. Lambert},
journal= {arXiv preprint arXiv:cond-mat/9902161},
year = {2007}
}
Comments
Available also at http://roberto.fis.uniroma3.it/leadbeat/pub.html