Distribution of Wigner delay time from single channel disordered systems

Details Distribution of Wigner delay time from single channel disordered systems Distribution of Wigner delay time from single channel disordered systems

1997-12-19

arxiv.org/abs/cond-mat/9712249v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages RevTeX, no figures

Scientific paper

10.1016/S0038-1098(98)00050-7

We consider the scattering of an electron from a semi-infinite one-dimensional random medium. The random medium is characterized by force, $-\d V/\d L$ being the basic random variable. We obtain an analytical expression for the stationary delay time ($\tau$) distribution $P_s(\tau)$ within a random phase approximation. Our result agrees with earlier analytical expressions, where the random potential is taken to be of different kind, indicating universality of the delay time distribution, i.e., delay time distribution is independent of the nature of disorder.

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