Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2008-01-03
Phys. Rev. B 78, 035102 (2008)
Physics
Condensed Matter
Disordered Systems and Neural Networks
RevTex4, 6 pages, 6 .eps figures: published version
Scientific paper
10.1103/PhysRevB.78.035102
The diffusion of electronic wave packets in one-dimensional systems with on-site, binary disorder is numerically investigated within the framework of a single-band tight-binding model. Fractal properties are incorporated by assuming that the distribution of distances $\ell$ between consecutive impurities obeys a power law, $P(\ell) \sim \ell^{-\alpha}$. For suitable ranges of $\alpha$, one finds system-wide anomalous diffusion. Asymmetric diffusion effects are introduced through the application of an external electric field, leading to results similar to those observed in the case of photogenerated electron-hole plasmas in tilted InP/InGaAs/InP quantum wells.
Castro d'Albuquerque J. e.
de Queiroz L. A. S.
Wells P. R. Jr.
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