The conductance of a multi-mode ballistic ring: Beyond Landauer and Kubo
Abstract
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.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- December 2006
- DOI:
- 10.1209/epl/i2006-10360-9
- arXiv:
- arXiv:cond-mat/0603484
- Bibcode:
- 2006EL.....76..739B
- Keywords:
-
- 03.65.-w;
- 05.45.Mt;
- 73.23.-b;
- Quantum mechanics;
- Quantum chaos;
- semiclassical methods;
- Electronic transport in mesoscopic systems;
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect
- E-Print:
- 7 pages, 8 figures, with the correct version of Figs.6-7