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Titlebook: Crystalline Semiconducting Materials and Devices; Paul N. Butcher,Norman H. March,Mario P. Tosi Book 1986 Springer Science+Business Media

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Dynamics of Localized Phonon Modes,urface of the crystal lattice. Another case is the presence of a foreign atom in the lattice. In both cases, the force constants of the surface atoms or the foreign atom differ from that in the uniform bulk volume of the lattice and the atoms concerned have vibrations out of the perfect crystal. These vibrations are called “localized modes.”
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Impurity Bands,y band are first described. Then, in connection with the analysis of impurity conduction, in particular the metal-insulator transition in doped semiconductors, the historical development of localization theory from the paper by Anderson in 1958 entitled “Absence of Diffusion in Certain Random Lattices” to the scaling theory in 1979 is surveyed.
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