Europhys. Lett.
Volume 76, Number 5, December 2006
Page(s) 739 - 745
Section General
Published online 03 November 2006
Europhys. Lett., 76 (5), pp. 739-745 (2006)
DOI: 10.1209/epl/i2006-10360-9

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

S. Bandopadhyay, Y. Etzioni and D. Cohen

Department of Physics, Ben-Gurion University - Beer-Sheva 84105, Israel

received 2 July 2006; accepted in final form 11 October 2006
published online 3 November 2006

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 and the sparsity of the perturbation matrix cannot be ignored.

03.65.-w - Quantum mechanics.
05.45.Mt - Quantum chaos; semiclassical methods.
73.23.-b - Electronic transport in mesoscopic systems.

© EDP Sciences 2006