Journal of Chemical Sciences

, Volume 102, Issue 5, pp 581–584 | Cite as

Superlocalization of fracton wavefunctions excited on percolating networks

  • K. Yakubo
  • T. Nakayama
Special Issue on Raman Spectroscopy and its Applications


The characteristics of fracton wavefunctions excited on two-dimensional sitepercolating networks are investigated using an array-processing supercomputer. It is found that fracton modes possess a quite unique character; i.e., the core of fracton excitations falls off sharply at their edges. The exponent dϕ, which indicates the strength of the localization of the fracton core, is much larger than unity. It is suggested that one should be careful when calculating the matrix elements relevant to the inelastic light scattering.


Fracton wavefunctions site-percolating networks array-processing supercomputer fracton excitations inelastic light-scattering 


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  1. Alexander S 1986Physica A140 397Google Scholar
  2. Alexander S, Entin-Wohlman O and Orbach R 1986Phys. Rev. B34 2726Google Scholar
  3. Alexander S and Orbach R 1982J. Phys. (Paris) Lett. 43 L625Google Scholar
  4. Harris A B and Aharony A 1987Europhys. Lett. 4 1355CrossRefGoogle Scholar
  5. Levy Y-E and Souillard B 1987Ewophys. Lett. 4 133Google Scholar
  6. Orbach R 1986Science 231 814CrossRefGoogle Scholar
  7. Rammal R and Toulouse G 1983J. Phys. (Paris) Lett. 44 L13Google Scholar
  8. Tsujimi Y, Courtens E, Pelous J and Vacher R 1988Phys. Rev. Lett. 60 2757CrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 1990

Authors and Affiliations

  • K. Yakubo
    • 1
  • T. Nakayama
    • 1
  1. 1.Department of Applied PhysicsHokkaido UniversitySapporoJapan

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