Statistics of reflection eigenvalues in chaotic cavities with non-ideal leads
Mesoscale and Nanoscale Physics
2012-05-17 v3 Mathematical Physics
math.MP
Chaotic Dynamics
Exactly Solvable and Integrable Systems
Abstract
The scattering matrix approach is employed to determine a joint probability density function of reflection eigenvalues for chaotic cavities coupled to the outside world through both ballistic and tunnel point contacts. Derived under assumption of broken time-reversal symmetry, this result is further utilised to (i) calculate the density and correlation functions of reflection eigenvalues, and (ii) analyse fluctuations properties of the Landauer conductance for the illustrative example of asymmetric chaotic cavity. Further extensions of the theory are pinpointed.
Cite
@article{arxiv.1111.5557,
title = {Statistics of reflection eigenvalues in chaotic cavities with non-ideal leads},
author = {Pedro Vidal and Eugene Kanzieper},
journal= {arXiv preprint arXiv:1111.5557},
year = {2012}
}
Comments
4.5 pages, 2 figures, final version accepted by Phys. Rev. Lett. (note added in proof + new reference)