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Series summation of fractal fluctuations in electron billiard arrays

  • T. P. Martin
  • B. C. Scannell
  • C. A. Marlow
  • R. P. Taylor
  • H. Linke
  • Ivan Shorubalko
  • Lars Samuelson
Publiceringsår: 2006
Språk: Engelska
Sidor: 600-603
Publikation/Tidskrift/Serie: Proceedings of the 16th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-16) (Physica E: Low-dimensional Systems and Nanostructures)
Volym: 34
Nummer: 1-2
Dokumenttyp: Konferensbidrag
Förlag: Elsevier Science B.V.


We fabricate a single billiard, a double billiard array, and a triple billiard array by etching a GaInAs/InP heterostructure, and perform a fractal analysis of the low-temperature magneto-conductance fluctuations measured in the billiards to facilitate an empirical study of how fractals combine in a physical system. We compare our results to simulated fractal traces, and find for both experiment and simulation that fluctuations of similar fractal dimension combine to form fluctuations of the same fractal dimension. (c) 2006 Elsevier B.V. All rights reserved.



  • Physics and Astronomy
  • fractal conductance
  • coupling
  • quantum billiard arrays


16th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-16)
10-15 July 2005
Albuquerque, NM, USA
  • ISSN: 1386-9477

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