Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-12-04
J. Phys. A 41, 262001 (FTC) (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, 3 figures, improved version to be published as JPA/FTC
Scientific paper
10.1088/1751-8113/41/26/262001
The calculation of the conductance of disordered rings requires a theory that goes beyond the Kubo-Drude formulation. Assuming "mesoscopic" circumstances the analysis of the electro-driven transitions show similarities with a percolation problem in energy space. We argue that the texture and the sparsity of the perturbation matrix dictate the value of the conductance, and study its dependence on the disorder strength, ranging from the ballistic to the Anderson localization regime. An improved sparse random matrix model is introduced to captures the essential ingredients of the problem, and leads to a generalized variable range hopping picture.
Budoyo Rangga
Cohen Doron
Kottos Tsampikos
Peer Tal
Stotland Alexander
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