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Localization of Electrons and Acoustical Phonons in Irregular or Fractal Crystallites

Published online by Cambridge University Press:  10 February 2011

B. Sapoval  and
S. Russ
B. Sapoval
Affiliation:
Laboratoire de Physique de la Matière Condensée, C.N.R.S. Ecole Polytechnique* 91128, Palaiseau Cédex, France
S. Russ
Affiliation:
Laboratoire de Physique de la Matière Condensée, C.N.R.S. Ecole Polytechnique* 91128, Palaiseau Cédex, France
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Abstract

The behavior of electron and phonon excitations in systems with irregular boundaries is discussed on the specific example of prefractal shapes. We show that both electron states and acoustical phonons exhibit localization properties. This effect is stronger when the fractality of the shape is increased. In consequence the electron-phonon interaction in small crystallites should be strongly dependent on their shape or roughness. This localization could play a role in the thermal properties of glasses where internal partial crytallization has no reason to build pseudo-crytalline entities which should be smooth.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 407: Symposium M – Disordered Materials and Interfaces-Fractals, structure and Dynamics , 1995 , 253
Copyright
Copyright © Materials Research Society 1996

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References

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