2007/12/31 by Alexander Stotland, Rangga Budoyo, Tal Peer +2
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1088/1751-8113/41/26/262001
published as J. Phys. A 41, 262001 (FTC) (2008) · 11 pages, 3 figures, improved version to be published as JPA/FTC
arxiv created 2008/05/14 · openalex publication_date 2008/06/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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 shows 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 capture the essential ingredients of the problem, and leads to a generalized variable range hopping picture.