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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

Abstract

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.

Keywords

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

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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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