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

2001/06/30 by S. Anantha Ramakrishna, N. Kumar
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf

published as Euro. Phys. J. B 23, 509-513 (2001) · Final version with minor corrections in text, 4 pages, 2 PS figures

arxiv created 2001/11/20 · arxiv updated 2009/11/30

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.

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