Transport and localization of waves in one-dimensional disordered media: Random phase approximation and beyond

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dc.creatorPradhan, Prabhakar
dc.date1997-03-31
dc.date.accessioned2026-07-07T09:11:38Z
dc.date.available2026-07-07T09:11:38Z
dc.descriptionWe report a systematic and detailed numerical study of statistics of the reflection coefficient $(|R(L)|^2)$ and its associated phase ($θ$) for a plane wave reflected from a one-dimensional (1D) disordered medium beyond the random phase approximation (RPA) for Gaussian white-noise disorder. We solve numerically the full Fokker-Planck (FP) equation for the probability distribution in the ($|R(L)|^2,θ(L)$)-space for different lengths of the sample with different "disorder strengths". The statistical electronic transport properties of 1D disordered conductors are calculated using the Landauer four-probe resistance formula and the FP equation. This constitutes a complete solution for the reflection statistics and many aspects of electron transport in a 1D Gaussian white-noise potential. Our calculation shows the contribution of the phase distribution to the different averages and its effects on the one-parameter scaling theory of localization.
dc.description10 pages, Revtex, 14 .eps figures are available on request at pradhan@physics.iisc.ernet.in
dc.identifierhttps://arxiv.org/abs/cond-mat/9703255
dc.identifierhttp://arxiv.org/abs/cond-mat/9703255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/151750
dc.subjectMesoscale and Nanoscale Physics
dc.titleTransport and localization of waves in one-dimensional disordered media: Random phase approximation and beyond
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