Scale factor mapping of statistical and exact self-similarity in billiards

A. P. Micolich; R. P. Taylor; J. P. Bird; R. Newbury; T. M. Fromhold; J. Cooper; Y. Aoyagi; T. Sugano

doi:10.1088/0268-1242/13/8A/014

Scale factor mapping of statistical and exact self-similarity in billiards

A. P. Micolich
, R. P. Taylor
, J. P. Bird
, R. Newbury
, T. M. Fromhold
, J. Cooper
, Y. Aoyagi
, T. Sugano

Department of Electrical Engineering

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

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

2 Scopus citations

Abstract

We investigate the fractal magnetotransport properties of mesoscopic billiards. Employing three geometries, we find the self-similarity to be either statistical or exact. We use a correlation analysis to investigate the relationship between these two families of scaling behaviours.

Original language	English
Pages (from-to)	A41-A43
Journal	Semiconductor Science and Technology
Volume	13
Issue number	8 SUPPL. A
DOIs	https://doi.org/10.1088/0268-1242/13/8A/014
State	Published - 1998

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title = "Scale factor mapping of statistical and exact self-similarity in billiards",

abstract = "We investigate the fractal magnetotransport properties of mesoscopic billiards. Employing three geometries, we find the self-similarity to be either statistical or exact. We use a correlation analysis to investigate the relationship between these two families of scaling behaviours.",

author = "Micolich, \{A. P.\} and Taylor, \{R. P.\} and Bird, \{J. P.\} and R. Newbury and Fromhold, \{T. M.\} and J. Cooper and Y. Aoyagi and T. Sugano",

year = "1998",

doi = "10.1088/0268-1242/13/8A/014",

language = "English",

volume = "13",

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T1 - Scale factor mapping of statistical and exact self-similarity in billiards

AU - Micolich, A. P.

AU - Taylor, R. P.

AU - Bird, J. P.

AU - Newbury, R.

AU - Fromhold, T. M.

AU - Cooper, J.

AU - Aoyagi, Y.

AU - Sugano, T.

PY - 1998

Y1 - 1998

N2 - We investigate the fractal magnetotransport properties of mesoscopic billiards. Employing three geometries, we find the self-similarity to be either statistical or exact. We use a correlation analysis to investigate the relationship between these two families of scaling behaviours.

AB - We investigate the fractal magnetotransport properties of mesoscopic billiards. Employing three geometries, we find the self-similarity to be either statistical or exact. We use a correlation analysis to investigate the relationship between these two families of scaling behaviours.

UR - https://www.scopus.com/pages/publications/0007148709

U2 - 10.1088/0268-1242/13/8A/014

DO - 10.1088/0268-1242/13/8A/014

M3 - Article

AN - SCOPUS:0007148709

SN - 0268-1242

VL - 13

SP - A41-A43

JO - Semiconductor Science and Technology

JF - Semiconductor Science and Technology

IS - 8 SUPPL. A

ER -

Scale factor mapping of statistical and exact self-similarity in billiards

Abstract

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