The dependence of fractal conductance fluctuations on semiconductor billiard parameters

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/S0921-4526(01)01430-2

The dependence of fractal conductance fluctuations on semiconductor billiard parameters

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

Abstract

We present a comprehensive study of the dependence of fractal conductance fluctuations (FCF) on semiconductor billiard parameters. We find that the fractal dimension depends solely on an empirical parameter that quantifies the resolution of the discrete energy level spectrum of the billiard. We have also investigated the effect of profile softness using billiards formed in a double two-dimensional electron gas heterostructure and find that FCF are robust to the changes in profile softness achieved.

Original language	English
Pages (from-to)	477-480
Number of pages	4
Journal	Physica B: Condensed Matter
Volume	314
Issue number	1-4
DOIs	https://doi.org/10.1016/S0921-4526(01)01430-2
State	Published - Mar 2002

Keywords

Billiards
Discrete level spectrum
Fractal fluctuations
Soft-wall potential profile

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10.1016/S0921-4526(01)01430-2

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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). The dependence of fractal conductance fluctuations on semiconductor billiard parameters. Physica B: Condensed Matter, 314(1-4), 477-480. https://doi.org/10.1016/S0921-4526(01)01430-2

@article{fab38d91eb274c3898c82732a128c26b,

title = "The dependence of fractal conductance fluctuations on semiconductor billiard parameters",

abstract = "We present a comprehensive study of the dependence of fractal conductance fluctuations (FCF) on semiconductor billiard parameters. We find that the fractal dimension depends solely on an empirical parameter that quantifies the resolution of the discrete energy level spectrum of the billiard. We have also investigated the effect of profile softness using billiards formed in a double two-dimensional electron gas heterostructure and find that FCF are robust to the changes in profile softness achieved.",

keywords = "Billiards, Discrete level spectrum, Fractal fluctuations, Soft-wall potential profile",

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/S0921-4526(01)01430-2",

language = "English",

volume = "314",

pages = "477--480",

journal = "Physica B: Condensed Matter",

issn = "0921-4526",

publisher = "Elsevier B.V.",

number = "1-4",

}

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, 'The dependence of fractal conductance fluctuations on semiconductor billiard parameters', Physica B: Condensed Matter, vol. 314, no. 1-4, pp. 477-480. https://doi.org/10.1016/S0921-4526(01)01430-2

TY - JOUR

T1 - The dependence of fractal conductance fluctuations on semiconductor billiard parameters

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 a comprehensive study of the dependence of fractal conductance fluctuations (FCF) on semiconductor billiard parameters. We find that the fractal dimension depends solely on an empirical parameter that quantifies the resolution of the discrete energy level spectrum of the billiard. We have also investigated the effect of profile softness using billiards formed in a double two-dimensional electron gas heterostructure and find that FCF are robust to the changes in profile softness achieved.

AB - We present a comprehensive study of the dependence of fractal conductance fluctuations (FCF) on semiconductor billiard parameters. We find that the fractal dimension depends solely on an empirical parameter that quantifies the resolution of the discrete energy level spectrum of the billiard. We have also investigated the effect of profile softness using billiards formed in a double two-dimensional electron gas heterostructure and find that FCF are robust to the changes in profile softness achieved.

KW - Billiards

KW - Discrete level spectrum

KW - Fractal fluctuations

KW - Soft-wall potential profile

UR - https://www.scopus.com/pages/publications/0036504746

U2 - 10.1016/S0921-4526(01)01430-2

DO - 10.1016/S0921-4526(01)01430-2

M3 - Article

AN - SCOPUS:0036504746

SN - 0921-4526

VL - 314

SP - 477

EP - 480

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

IS - 1-4

ER -

The dependence of fractal conductance fluctuations on semiconductor billiard parameters

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Keywords

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