Alexander Stotland et al 2008 J. Phys. A: Math. Theor. 41 262001 doi:10.1088/1751-8113/41/26/262001
The mesoscopic conductance of disordered rings, its random matrix theory and the generalized variable range hopping picture
FREE ARTICLEAlexander Stotland1, Rangga Budoyo2, Tal Peer1, Tsampikos Kottos2 and Doron Cohen1
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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.
- PACS
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72.10.-d Theory of electronic transport; scattering mechanisms
- MSC
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82C80 Numerical methods (Monte Carlo, series resummation, etc.)
82C43 Time-dependent percolation (See also 60K35)
82C44 Dynamics of disordered systems (random Ising systems, etc.)
- Subjects
- Dates
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Issue 26 (11 July 2008)
Received 9 April 2008, in final form 14 May 2008
Published 4 June 2008
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The mesoscopic conductance of disordered rings, its random matrix theory and the generalized variable range hopping picture
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