The mesoscopic conductance of disordered rings, its random matrix theory, and the generalized variable range hopping picture

dc.creatorStotland, Alexander
dc.creatorBudoyo, Rangga
dc.creatorPeer, Tal
dc.creatorKottos, Tsampikos
dc.creatorCohen, Doron
dc.date2007-12-04
dc.date2008-05-14
dc.date.accessioned2026-07-07T09:42:30Z
dc.date.available2026-07-07T09:42:30Z
dc.descriptionThe 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.
dc.description11 pages, 3 figures, improved version to be published as JPA/FTC
dc.identifierhttps://arxiv.org/abs/0712.0439
dc.identifierhttp://arxiv.org/abs/0712.0439
dc.identifierJ. Phys. A 41, 262001 (FTC) (2008)
dc.identifierdoi:10.1088/1751-8113/41/26/262001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162204
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.titleThe mesoscopic conductance of disordered rings, its random matrix theory, and the generalized variable range hopping picture
dc.typetext

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