The conductance of a multi-mode ballistic ring: Beyond Landauer and Kubo

@article{Bandopadhyay2006TheCO,
title={The conductance of a multi-mode ballistic ring: Beyond Landauer and Kubo},
author={S. Bandopadhyay and Yoav Etzioni and Doron Cohen},
journal={EPL},
year={2006},
volume={76},
pages={739-745}
}

The Landauer conductance of a two-terminal device equals to the number of open modes in the weak scattering limit. What is the corresponding result if we close the system into a ring? Is it still bounded by the number of open modes? Or is it unbounded as in the semi-classical (Drude) analysis? It turns out that the calculation of the mesoscopic conductance is similar to solving a percolation problem. The "percolation" is in energy space rather than in real space. The non-universal structures… CONTINUE READING