Conductance distribution in 3D Anderson insulators: deviation from log-normal form
arXiv:cond-mat/0410372 · doi:10.1209/epl/i2004-10289-y
Abstract
We show how a recent proposal to obtain the distribution of conductances in three dimensions (3D) from a generalized Fokker-Planck equation for the joint probability distribution of the transmission eigenvalues can be implemented for all strengths of disorder by numerically evaluating certain correlations of transfer matrices. We then use this method to obtain analytically, for the first time, the 3D conductance distribution in the insulating regime and provide a simple understanding of why it differs qualitatively from the log-normal distribution of a quasi one-dimensional wire.
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Cited by in corpus (6)
- Conductance distribution in strongly disordered mesoscopic systems in three dimensions
- The Generalized DMPK equation revisited: A systematic derivation
- Generalized DMPK equation for strongly localized regime - numerical solution
- Character of eigenstates of the 3D disordered Anderson Hamiltonian
- Electron transport in strongly disordered structures
- Nonmonotonic confining potential and eigenvalue density transition for generalized random matrix model