Europhys. Lett.
Volume 62, Number 5, June 2003
Page(s) 719 - 725
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 01 May 2003
DOI: 10.1209/epl/i2003-00432-x
Europhys. Lett., 62 (5) , pp. 719-725 (2003)

Fingerprints of classical diffusion in open 2D mesoscopic systems in the metallic regime

A. Ossipov, T. Kottos and T. Geisel

Max-Planck-Institut für Strömungsforschung und Fakultät Physik der Universität Göttingen Bunsenstraße 10, D-37073 Göttingen, Germany

(Received 29 January 2003; accepted in final form 28 March 2003)

We investigate the distribution of the resonance widths $\mathcal{P}(\Gamma)$ and Wigner delay times $\mathcal{P}(\tau_{\ab{W}})$ for scattering from two-dimensional systems in the diffusive regime. We obtain the forms of these distributions (log-normal for large $\tau_{\ab{W}}$ and small $\Gamma$, and power law in the opposite case) for different symmetry classes and show that they are determined by the underlying diffusive classical dynamics. Our theoretical arguments are supported by extensive numerical calculations.

73.23.-b - Electronic transport in mesoscopic systems.
03.65.Nk - Scattering theory.
05.45.Mt - Quantum chaos; semiclassical methods.

© EDP Sciences 2003