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