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

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

2006-03-19

arxiv.org/abs/cond-mat/0603484v4

Europhysics Letters 76, 739 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 8 figures, with the correct version of Figs.6-7

Scientific paper

10.1209/epl/i2006-10360-9

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.

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