Distribution of the delay time and the dwell time for wave reflection from a long random potential

Details Distribution of the delay time and the dwell time for wave reflection from a long random potential Distribution of the delay time and the dwell time for wave reflection from a long random potential

2001-06-11

arxiv.org/abs/cond-mat/0106195v2

Euro. Phys. J. B 23, 509-513 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Final version with minor corrections in text, 4 pages, 2 PS figures

Scientific paper

We re-examine and correct an earlier derivation of the distribution of the Wigner phase delay time for wave reflection from a long one-dimensional disordered conductor treated in the continuum limit. We then numerically compare the distributions of the Wigner phase delay time and the dwell time, the latter being obtained by the use of an infinitesimal imaginary potential as a clock, and investigate the effects of strong disorder and a periodic (discrete) lattice background. We find that the two distributions coincide even for strong disorder, but only for energies well away from the band-edges.

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