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Percolation and Localization in Disordered Solid Solutions

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Spectroscopy of Systems with Spatially Confined Structures

Part of the book series: NATO Science Series ((NAII,volume 90))

Abstract

We present an approach to quantitative description of the states split off from the electronic bands due to disorder which exists in crystalline solid solutions. The concentration of the solution component creating the localizing potential is supposed to be below the critical one for percolation over the lattice sites. In this concentration range the clusters composed by the atoms of minor solution component, which produce the localized states for carriers and/or excitons, are isolated in space. The calculation of the number of cluster states is one of well known problems of the percolation theory over the crystal sites. We describe how the results of this theory can be used for calculation of the density of localized states, which, in turn, is used for the modelling of the spectral density (or absorption coefficient) of exciton states. Then, the continuum classical percolation theory over the overlapping spheres is used for the description of the luminescence spectrum of localized excitons. The models used describe quite well the steady-state optical spectra of diluted GaS1-cIncN solid solution and also that of ZnSe1-cTec and CdS1-cSec solid solutions in all the composition range. These models can also account for the nontrivial peculiarities of the luminescence intensity decay at long delay times after the pulse excitation.

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Authors and Affiliations

  1. A.F.Ioffe Physical-Technical Institute, St.Petersburg, Russia

    A. Reznitsky & S. Permogorov

  2. Petersburg Nuclear Physics Institute, St.Petersburg, Russia

    A. Klochikhin

  3. Universität Karlsruhe, Institut für Angewandte Physik, Karlsruhe, Germany

    A. Reznitsky & A. Klochikhin

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  1. A. Reznitsky
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  2. A. Klochikhin
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  3. S. Permogorov
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  1. Boston College, Chestnut Hill, Massachusetts, USA

    Baldassare Di Bartolo

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Reznitsky, A., Klochikhin, A., Permogorov, S. (2003). Percolation and Localization in Disordered Solid Solutions. In: Di Bartolo, B. (eds) Spectroscopy of Systems with Spatially Confined Structures. NATO Science Series, vol 90. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0287-5_11

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  • DOI: https://doi.org/10.1007/978-94-010-0287-5_11

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