Volume 76, Number 5, December 2006
|Page(s)||739 - 745|
|Published online||03 November 2006|
The conductance of a multi-mode ballistic ring: Beyond Landauer and Kubo
Department of Physics, Ben-Gurion University - Beer-Sheva 84105, Israel
Accepted: 11 October 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.
PACS: 03.65.-w – Quantum mechanics / 05.45.Mt – Quantum chaos; semiclassical methods / 73.23.-b – Electronic transport in mesoscopic systems
© EDP Sciences, 2006
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