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Series summation of fractal fluctuations in electron billiard arrays

Martin, T. P. ; Scannell, B. C. ; Marlow, C. A. ; Taylor, R. P. ; Linke, H. ; Shorubalko, Ivan LU and Samuelson, Lars LU (2006) 16th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-16) 34(1-2). p.600-603
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.
Please use this url to cite or link to this publication:
author
; ; ; ; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
fractal conductance, coupling, quantum billiard arrays
host publication
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
pages
600 - 603
publisher
Elsevier
conference name
16th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-16)
conference location
Albuquerque, NM, United States
conference dates
2005-07-10 - 2005-07-15
external identifiers
  • wos:000239903200152
  • scopus:33746451645
ISSN
1386-9477
DOI
10.1016/j.physe.2006.03.039
language
English
LU publication?
yes
id
50428cdb-06e6-4215-8541-da4c71478f1c (old id 397268)
date added to LUP
2016-04-01 17:05:54
date last changed
2021-02-17 05:54:55
@inproceedings{50428cdb-06e6-4215-8541-da4c71478f1c,
  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.},
  author       = {Martin, T. P. and Scannell, B. C. and Marlow, C. A. and Taylor, R. P. and Linke, H. and Shorubalko, Ivan and Samuelson, Lars},
  booktitle    = {Proceedings of the 16th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-16) (Physica E: Low-dimensional Systems and Nanostructures)},
  issn         = {1386-9477},
  language     = {eng},
  number       = {1-2},
  pages        = {600--603},
  publisher    = {Elsevier},
  title        = {Series summation of fractal fluctuations in electron billiard arrays},
  url          = {http://dx.doi.org/10.1016/j.physe.2006.03.039},
  doi          = {10.1016/j.physe.2006.03.039},
  volume       = {34},
  year         = {2006},
}