https://doi.org/10.1007/s100510170043
Distribution of the delay time and the dwell time for wave reflection from a long random potential
Raman Research Institute, C.V. Raman Avenue, Bangalore 560 080, India
Corresponding author: a s.a.ramakrishna@ic.ac.uk
Received:
11
June
2001
Revised:
30
July
2001
Published online: 15 October 2001
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.
PACS: 72.10.-d – Theory of electronic transport; scattering mechanisms / 72.70.+m – Noise processes and phenomena / 73.23.-b – Electronic transport in mesoscopic systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
