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

Alexander Stotland, Rangga Budoyo, Tal Peer, Tsampikos Kottos, Doron Cohen

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

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.

Original languageEnglish
Article number262001
JournalJournal of Physics A: Mathematical and Theoretical
Volume41
Issue number26
DOIs
StatePublished - 4 Jul 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy

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