Fractal behavior in magnetoconductance in coupled quantum dot systems

Nobuyuki Aoki; Li Hung Lin; Takahiro Morimoto; Takahiko Sasaki; Jun Feng Song; Koji Ishibashi; Jonathan P. Bird; Agung Budiyono; Katsuhiro Nakamura; Takahisa Harayama; Yuichi Ochiai

doi:10.1016/j.physe.2003.12.021

Fractal behavior in magnetoconductance in coupled quantum dot systems

Nobuyuki Aoki^*, Li Hung Lin, Takahiro Morimoto, Takahiko Sasaki, Jun Feng Song, Koji Ishibashi, Jonathan P. Bird, Agung Budiyono, Katsuhiro Nakamura, Takahisa Harayama, Yuichi Ochiai

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

Abstract

Fractal behavior in magnetoconductance fluctuations in coupled quantum dots has been studied by means of exact and statistical self-similarity. The fractal dimensions from the different features are not coincident exactly but show the similar gate voltage dependences, where the values increase with increasing negative gate voltage. Moreover, results of statistical fractal dimensions obtained from two types of dot-array samples show the same dependence on the gate voltage variation. It seems a common feature of coupled-dot systems that the fractal dimension increases by decreasing the inter-dot coupling.

Original language	English
Pages (from-to)	361-364
Number of pages	4
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	22
Issue number	1-3
DOIs	https://doi.org/10.1016/j.physe.2003.12.021
Publication status	Published - 2004 Apr
Externally published	Yes
Event	15th International Conference on ELectronic Propreties - Nara, Japan Duration: 2003 Jul 14 → 2003 Jul 18

Keywords

Conductance fluctuations
Coupled quantum dot
Dot array
Fractal dimension
Self similarity

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics

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10.1016/j.physe.2003.12.021

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@article{6f6a13ad6c66432ea1964a42e6fb4d10,

title = "Fractal behavior in magnetoconductance in coupled quantum dot systems",

abstract = "Fractal behavior in magnetoconductance fluctuations in coupled quantum dots has been studied by means of exact and statistical self-similarity. The fractal dimensions from the different features are not coincident exactly but show the similar gate voltage dependences, where the values increase with increasing negative gate voltage. Moreover, results of statistical fractal dimensions obtained from two types of dot-array samples show the same dependence on the gate voltage variation. It seems a common feature of coupled-dot systems that the fractal dimension increases by decreasing the inter-dot coupling.",

keywords = "Conductance fluctuations, Coupled quantum dot, Dot array, Fractal dimension, Self similarity",

author = "Nobuyuki Aoki and Lin, {Li Hung} and Takahiro Morimoto and Takahiko Sasaki and Song, {Jun Feng} and Koji Ishibashi and Bird, {Jonathan P.} and Agung Budiyono and Katsuhiro Nakamura and Takahisa Harayama and Yuichi Ochiai",

note = "Funding Information: This work was supported by JSPS-NSF (US) cooperative science program. Work at RIKEN is supported by CREST.; 15th International Conference on ELectronic Propreties ; Conference date: 14-07-2003 Through 18-07-2003",

year = "2004",

month = apr,

doi = "10.1016/j.physe.2003.12.021",

language = "English",

volume = "22",

pages = "361--364",

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

issn = "1386-9477",

publisher = "Elsevier",

number = "1-3",

}

TY - JOUR

T1 - Fractal behavior in magnetoconductance in coupled quantum dot systems

AU - Aoki, Nobuyuki

AU - Lin, Li Hung

AU - Morimoto, Takahiro

AU - Sasaki, Takahiko

AU - Song, Jun Feng

AU - Ishibashi, Koji

AU - Bird, Jonathan P.

AU - Budiyono, Agung

AU - Nakamura, Katsuhiro

AU - Harayama, Takahisa

AU - Ochiai, Yuichi

N1 - Funding Information: This work was supported by JSPS-NSF (US) cooperative science program. Work at RIKEN is supported by CREST.

PY - 2004/4

Y1 - 2004/4

N2 - Fractal behavior in magnetoconductance fluctuations in coupled quantum dots has been studied by means of exact and statistical self-similarity. The fractal dimensions from the different features are not coincident exactly but show the similar gate voltage dependences, where the values increase with increasing negative gate voltage. Moreover, results of statistical fractal dimensions obtained from two types of dot-array samples show the same dependence on the gate voltage variation. It seems a common feature of coupled-dot systems that the fractal dimension increases by decreasing the inter-dot coupling.

AB - Fractal behavior in magnetoconductance fluctuations in coupled quantum dots has been studied by means of exact and statistical self-similarity. The fractal dimensions from the different features are not coincident exactly but show the similar gate voltage dependences, where the values increase with increasing negative gate voltage. Moreover, results of statistical fractal dimensions obtained from two types of dot-array samples show the same dependence on the gate voltage variation. It seems a common feature of coupled-dot systems that the fractal dimension increases by decreasing the inter-dot coupling.

KW - Conductance fluctuations

KW - Coupled quantum dot

KW - Dot array

KW - Fractal dimension

KW - Self similarity

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UR - http://www.scopus.com/inward/citedby.url?scp=11144357609&partnerID=8YFLogxK

U2 - 10.1016/j.physe.2003.12.021

DO - 10.1016/j.physe.2003.12.021

M3 - Conference article

AN - SCOPUS:11144357609

SN - 1386-9477

VL - 22

SP - 361

EP - 364

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

IS - 1-3

T2 - 15th International Conference on ELectronic Propreties

Y2 - 14 July 2003 through 18 July 2003

ER -

Fractal behavior in magnetoconductance in coupled quantum dot systems

Abstract

Keywords

ASJC Scopus subject areas

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