Dynamics of Localized Phonon Modes

  • M. Balkanski
Part of the Physics of Solids and Liquids book series (PSLI)


Localized states occur in a solid when the translational invariance is lost. The most obvious case of interrupting the translational symmetry is the surface 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.”


Force Constant Localize Mode Perfect Crystal Impurity State Phonon Dispersion 
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Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • M. Balkanski
    • 1
  1. 1.Laboratoire de Physique des Solides associé au C.N.R.S.Université P. et M. CurieParis Cédex 05France

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