Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Is it the boundaries or disorder that dominates electron transport in semiconductor `billiards'?

Micolich, A. P. ; See, A. M. ; Scannell, B. C. ; Marlow, C. A. ; Martin, T. P. ; Pilgrim, I. ; Hamilton, A. R. ; Linke, Heiner LU orcid and Taylor, R. P. (2013) In Fortschritte der Physik 61(2-3). p.332-347
Abstract
Semiconductor billiards are often considered as ideal systems for studying dynamical chaos in the quantum mechanical limit. In the traditional picture, once the electron's mean free path, as determined by the mobility, becomes larger than the device, disorder is negligible and electron trajectories are shaped by specular reflection from the billiard walls alone. Experimental insight into the electron dynamics is normally obtained by magnetoconductance measurements. A number of recent experimental studies have shown these measurements to be largely independent of the billiard's exact shape, and highly dependent on sample-to-sample variations in disorder. In this paper, we discuss these more recent findings within the full historical context... (More)
Semiconductor billiards are often considered as ideal systems for studying dynamical chaos in the quantum mechanical limit. In the traditional picture, once the electron's mean free path, as determined by the mobility, becomes larger than the device, disorder is negligible and electron trajectories are shaped by specular reflection from the billiard walls alone. Experimental insight into the electron dynamics is normally obtained by magnetoconductance measurements. A number of recent experimental studies have shown these measurements to be largely independent of the billiard's exact shape, and highly dependent on sample-to-sample variations in disorder. In this paper, we discuss these more recent findings within the full historical context of work on semiconductor billiards, and offer strong evidence that small-angle scattering at the sub-100 nm length-scale dominates transport in these devices. This has important implications for the role these devices can play for experimental tests of ideas in quantum chaos. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim (Less)
Please use this url to cite or link to this publication:
author
; ; ; ; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Quantum chaos, semiconductor billiards, quantum dots, ballistic, transport
in
Fortschritte der Physik
volume
61
issue
2-3
pages
332 - 347
publisher
Wiley-Blackwell
external identifiers
  • wos:000314472400019
  • scopus:84873257289
ISSN
0015-8208
DOI
10.1002/prop.201200081
language
English
LU publication?
yes
id
464def16-2720-4d66-9f02-692ac1625ab0 (old id 3590219)
date added to LUP
2016-04-01 13:59:08
date last changed
2023-11-13 00:48:07
@article{464def16-2720-4d66-9f02-692ac1625ab0,
  abstract     = {{Semiconductor billiards are often considered as ideal systems for studying dynamical chaos in the quantum mechanical limit. In the traditional picture, once the electron's mean free path, as determined by the mobility, becomes larger than the device, disorder is negligible and electron trajectories are shaped by specular reflection from the billiard walls alone. Experimental insight into the electron dynamics is normally obtained by magnetoconductance measurements. A number of recent experimental studies have shown these measurements to be largely independent of the billiard's exact shape, and highly dependent on sample-to-sample variations in disorder. In this paper, we discuss these more recent findings within the full historical context of work on semiconductor billiards, and offer strong evidence that small-angle scattering at the sub-100 nm length-scale dominates transport in these devices. This has important implications for the role these devices can play for experimental tests of ideas in quantum chaos. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim}},
  author       = {{Micolich, A. P. and See, A. M. and Scannell, B. C. and Marlow, C. A. and Martin, T. P. and Pilgrim, I. and Hamilton, A. R. and Linke, Heiner and Taylor, R. P.}},
  issn         = {{0015-8208}},
  keywords     = {{Quantum chaos; semiconductor billiards; quantum dots; ballistic; transport}},
  language     = {{eng}},
  number       = {{2-3}},
  pages        = {{332--347}},
  publisher    = {{Wiley-Blackwell}},
  series       = {{Fortschritte der Physik}},
  title        = {{Is it the boundaries or disorder that dominates electron transport in semiconductor `billiards'?}},
  url          = {{http://dx.doi.org/10.1002/prop.201200081}},
  doi          = {{10.1002/prop.201200081}},
  volume       = {{61}},
  year         = {{2013}},
}