Discrete energy level spectrum dependence of fractal conductance fluctuations in semiconductor billiards

A. P. Micolich; R. P. Taylor; R. Newbury; J. P. Bird; T. M. Fromhold; A. G. Davies; L. D. Macks; A. Ehlert; H. Linke; W. R. Tribe; E. H. Linfield; D. A. Ritchie; J. Cooper; Y. Aoyagi; P. B. Wilkinson

doi:10.1016/S1386-9477(02)00258-8

Discrete energy level spectrum dependence of fractal conductance fluctuations in semiconductor billiards

A. P. Micolich
, R. P. Taylor
, R. Newbury
, J. P. Bird
, T. M. Fromhold
, A. G. Davies
, L. D. Macks
, A. Ehlert
, H. Linke
, W. R. Tribe
, E. H. Linfield
, D. A. Ritchie
, J. Cooper
, Y. Aoyagi
, P. B. Wilkinson

Department of Electrical Engineering

University of Oregon
University of New South Wales
University of Nottingham
University of Cambridge
RIKEN

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We present experimental results demonstrating that fractal conductance fluctuations are remarkably robust to deviations from the semiclassical conduction regime. We find that the fractal dimension depends solely on an empirical parameter that quantifies the resolution of the billiard’s discrete energy level spectrum. Non-fractal fluctuations are obtained only in the extreme classical and quantum-mechanical conduction regimes.

Original language	English
Pages (from-to)	683-686
Number of pages	4
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	13
Issue number	2-4
DOIs	https://doi.org/10.1016/S1386-9477(02)00258-8
State	Published - Mar 2002

Keywords

Billiards
Discrete level spectrum
Fractal fluctuations

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10.1016/S1386-9477(02)00258-8

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Micolich, A. P., Taylor, R. P., Newbury, R., Bird, J. P., Fromhold, T. M., Davies, A. G., Macks, L. D., Ehlert, A., Linke, H., Tribe, W. R., Linfield, E. H., Ritchie, D. A., Cooper, J., Aoyagi, Y., & Wilkinson, P. B. (2002). Discrete energy level spectrum dependence of fractal conductance fluctuations in semiconductor billiards. Physica E: Low-Dimensional Systems and Nanostructures, 13(2-4), 683-686. https://doi.org/10.1016/S1386-9477(02)00258-8

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title = "Discrete energy level spectrum dependence of fractal conductance fluctuations in semiconductor billiards",

abstract = "We present experimental results demonstrating that fractal conductance fluctuations are remarkably robust to deviations from the semiclassical conduction regime. We find that the fractal dimension depends solely on an empirical parameter that quantifies the resolution of the billiard{\textquoteright}s discrete energy level spectrum. Non-fractal fluctuations are obtained only in the extreme classical and quantum-mechanical conduction regimes.",

keywords = "Billiards, Discrete level spectrum, Fractal fluctuations",

author = "Micolich, \{A. P.\} and Taylor, \{R. P.\} and R. Newbury and Bird, \{J. P.\} and Fromhold, \{T. M.\} and Davies, \{A. G.\} and Macks, \{L. D.\} and A. Ehlert and H. Linke and Tribe, \{W. R.\} and Linfield, \{E. H.\} and Ritchie, \{D. A.\} and J. Cooper and Y. Aoyagi and Wilkinson, \{P. B.\}",

year = "2002",

month = mar,

doi = "10.1016/S1386-9477(02)00258-8",

language = "English",

volume = "13",

pages = "683--686",

journal = "Physica E: Low-Dimensional Systems and Nanostructures",

issn = "1386-9477",

publisher = "Elsevier B.V.",

number = "2-4",

}

Micolich, AP, Taylor, RP, Newbury, R, Bird, JP, Fromhold, TM, Davies, AG, Macks, LD, Ehlert, A, Linke, H, Tribe, WR, Linfield, EH, Ritchie, DA, Cooper, J, Aoyagi, Y & Wilkinson, PB 2002, 'Discrete energy level spectrum dependence of fractal conductance fluctuations in semiconductor billiards', Physica E: Low-Dimensional Systems and Nanostructures, vol. 13, no. 2-4, pp. 683-686. https://doi.org/10.1016/S1386-9477(02)00258-8

TY - JOUR

T1 - Discrete energy level spectrum dependence of fractal conductance fluctuations in semiconductor billiards

AU - Micolich, A. P.

AU - Taylor, R. P.

AU - Newbury, R.

AU - Bird, J. P.

AU - Fromhold, T. M.

AU - Davies, A. G.

AU - Macks, L. D.

AU - Ehlert, A.

AU - Linke, H.

AU - Tribe, W. R.

AU - Linfield, E. H.

AU - Ritchie, D. A.

AU - Cooper, J.

AU - Aoyagi, Y.

AU - Wilkinson, P. B.

PY - 2002/3

Y1 - 2002/3

N2 - We present experimental results demonstrating that fractal conductance fluctuations are remarkably robust to deviations from the semiclassical conduction regime. We find that the fractal dimension depends solely on an empirical parameter that quantifies the resolution of the billiard’s discrete energy level spectrum. Non-fractal fluctuations are obtained only in the extreme classical and quantum-mechanical conduction regimes.

AB - We present experimental results demonstrating that fractal conductance fluctuations are remarkably robust to deviations from the semiclassical conduction regime. We find that the fractal dimension depends solely on an empirical parameter that quantifies the resolution of the billiard’s discrete energy level spectrum. Non-fractal fluctuations are obtained only in the extreme classical and quantum-mechanical conduction regimes.

KW - Billiards

KW - Discrete level spectrum

KW - Fractal fluctuations

UR - https://www.scopus.com/pages/publications/0036493231

U2 - 10.1016/S1386-9477(02)00258-8

DO - 10.1016/S1386-9477(02)00258-8

M3 - Article

AN - SCOPUS:0036493231

SN - 1386-9477

VL - 13

SP - 683

EP - 686

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

IS - 2-4

ER -

Discrete energy level spectrum dependence of fractal conductance fluctuations in semiconductor billiards

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Keywords

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