The mesoscopic conductance of closed rings (2006-2008)
Consider a multichannel closed ring with disorder (W). In the
semiclassical
treatment its conductance (G) is given by the Drude formula. Our
theory
challenges this result both in the limit of strong disorder
(eigenstates are not quantum-ergodic in real space) and in the
limit of
weak disorder (eigenstates are not quantum-ergodic in momentum
space).
The analysis of the conductance is based on our "semi linear
response
theory".
-
Our theory implies that the correct quantum result for the
conductance of a ballistic ring is neither Landauer-like nor
Drude.
-
In the strong disorder limit our theory provides a firm unified
framework from which the "hopping" phenomenology of Mott can be
derived.
[1] S. Bandopadhyay, Y. Etzioni and D. Cohen, EPL (2006). [arXiv]
[pdf]
[2] D. Cohen, Phys. Rev. B 75, 125316 (2007).
[arXiv]
[pdf]
[3] T. Peer, R. Budoyo, A. Stotland, T. Kottos and D. Cohen,
JPA (FTC, 2008). [arXiv]
[pdf],
Editor's choice of 2007-2008