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.

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

Cited by in corpus (2)

• The mesoscopic conductance of disordered rings, its random matrix theory, and the generalized variable range hopping picture
• From the Kubo formula to variable range hopping