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Series summation of fractal fluctuations in electron billiard arrays

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Author

  • T. P. Martin
  • B. C. Scannell
  • C. A. Marlow
  • R. P. Taylor
  • H. Linke
  • Ivan Shorubalko
  • Lars Samuelson

Summary, in English

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.

Publishing year

2006

Language

English

Pages

600-603

Publication/Series

Proceedings of the 16th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-16) (Physica E: Low-dimensional Systems and Nanostructures)

Volume

34

Issue

1-2

Document type

Conference paper

Publisher

Elsevier

Topic

  • Condensed Matter Physics

Keywords

  • fractal conductance
  • coupling
  • quantum billiard arrays

Conference name

16th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-16)

Conference date

2005-07-10 - 2005-07-15

Conference place

Albuquerque, NM, United States

Status

Published

ISBN/ISSN/Other

  • ISSN: 1386-9477