Unbounded fluctuations in transport through an integrable cavity
Mesoscale and Nanoscale Physics
2007-05-23 v1
Abstract
We derive a semiclassical scheme for the conductance through a rectangular cavity. The transmission amplitudes are expressed as a sum over families of trajectories rather than a sum over isolated trajectories. The contributing families are obtained from the evaluation of a finite number of continued fractions. We find that, contrary to the chaotic case, the conductance fluctuations increase with the incoming energy and the correlation function exhibits a singularity at the origin.
Cite
@article{arxiv.cond-mat/9812046,
title = {Unbounded fluctuations in transport through an integrable cavity},
author = {Paul Pichaureau and Rodolfo A. Jalabert},
journal= {arXiv preprint arXiv:cond-mat/9812046},
year = {2007}
}
Comments
9 pages + 3 figures, accepted for Eur. Phys. J. B