Superlocalization of Fractons: Direct Observation by Supercomputer

  • K. Yakubo
  • T. Nakayama
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 43)


Evidence is given for the superlocalization of fracton wave-functions excited on two-dimensional percolating networks. It is shown that fractons are superlocalized as exp[−(r/ Λ (ω))d φ], where the exponent d φ takes the value of 2.3±0.1. Our result provides new insight into the underlying properties of fractons.


Percolation Threshold Memory Space Localization Length Dynamical Matrix Strong Localization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    S. Alexander, R. Orbach: J. Phys. (Paris) Lett. 43, L625(1982)Google Scholar
  2. 2.
    S. Alexander, 0. Entin-Wohlman, R. Orbach: J. Phys. (Paris) Lett. 46, L549(1985); Phys. Rev. B32, 6447 (1985)Google Scholar
  3. 3.
    Y. E. Lèvy, B. Souillard: Europhys. Lett. 4, 233 (1987)CrossRefADSGoogle Scholar
  4. 4.
    A. B. Harris, A. Aharony: Europhys. Lett. 4, 1355 (1987)CrossRefADSGoogle Scholar
  5. 5.
    A. Aharony, O. Entin-Wohlman, R. Orbach: Phys. Rev. Lett. 58, 132 (1987)CrossRefADSGoogle Scholar
  6. 6.
    M. L. Williams, H. J. Maris: Phys. Rev. B31, 4508(1985)CrossRefADSGoogle Scholar
  7. 7.
    K. Yakubo, T. Nakayama: Phys. Rev. B36, 8933(1987)CrossRefADSGoogle Scholar
  8. 8.
    K. Yakubo, T. Nakayama: to be publishedGoogle Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

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

Personalised recommendations