Distribution of the delay time and the dwell time for wave reflection from a long random potential
Disordered Systems and Neural Networks
2007-05-23 v2 Mesoscale and Nanoscale Physics
Abstract
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.
Cite
@article{arxiv.cond-mat/0106195,
title = {Distribution of the delay time and the dwell time for wave reflection from a long random potential},
author = {S. Anantha Ramakrishna and N. Kumar},
journal= {arXiv preprint arXiv:cond-mat/0106195},
year = {2007}
}
Comments
Final version with minor corrections in text, 4 pages, 2 PS figures