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

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

Abstract

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.
Original languageEnglish
Title of host publicationProceedings of the 16th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-16) (Physica E: Low-dimensional Systems and Nanostructures)
PublisherElsevier
Pages600-603
Volume34
DOIs
Publication statusPublished - 2006
Event16th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-16) - Albuquerque, NM, United States
Duration: 2005 Jul 102005 Jul 15

Publication series

Name
Number1-2
Volume34
ISSN (Print)1386-9477

Conference

Conference16th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-16)
Country/TerritoryUnited States
CityAlbuquerque, NM
Period2005/07/102005/07/15

Subject classification (UKÄ)

  • Condensed Matter Physics

Keywords

  • fractal conductance
  • coupling
  • quantum billiard arrays

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