| Issue |
Europhys. Lett.
Volume 76, Number 5, December 2006
|
|
|---|---|---|
| Page(s) | 739 - 745 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2006-10360-9 | |
| 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
Received:
2
July
2006
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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