科研之友
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摘要
It is shown that universal transport statistics in the ensembles of scattering matrices with the symmetry index beta is an element of {1,2,4} can be found from a simple microscopic model. A stochastic Riccati equation for the reflection matrix in this model is mapped exactly to the Dorokhov-Mello-Pereyra-Kumar equation for all beta s. The map is used to obtain transport statistics in a quasi-one-dimensional disordered conductor in a wide range of its parameters from ballistic to localizations regime. The conductance statistics, shot noise suppression, and transmission channel density are calculated and compared with available analytical results. Deviation from the universal statistics is also discussed.
- 出版日期2013-10-7
