Classical and quantum mechanical transport simulations in open quantum dots

Roland Brunner; Ronald Meisels; Friedemar Kuchar; Richard Akis; David K. Ferry; Jonathan P. Bird

doi:10.1007/s10825-006-0068-8

Classical and quantum mechanical transport simulations in open quantum dots

Roland Brunner, Ronald Meisels, Friedemar Kuchar, Richard Akis, David K. Ferry, Jonathan P. Bird

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

8 Scopus citations

Abstract

Simulations of open dot arrays are performed where the electron motion is considered in a harmonic potential and in a static magnetic field. Results concern electron trajectories and Poincaré sections from the classical calculation. The analysis of the Poincaré sections reveals a strong influence of the length of the constriction on the chaotic regions in phase space. Density probabilities from the quantum mechanical calculation show a significant correspondence to classically calculated trajectories.

Original language	English (US)
Pages (from-to)	93-96
Number of pages	4
Journal	Journal of Computational Electronics
Volume	6
Issue number	1-3
DOIs	https://doi.org/10.1007/s10825-006-0068-8
State	Published - Sep 2007

Keywords

Open quantum dots
Phase space analysis
Transport simulation

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Modeling and Simulation
Electrical and Electronic Engineering

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10.1007/s10825-006-0068-8

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title = "Classical and quantum mechanical transport simulations in open quantum dots",

abstract = "Simulations of open dot arrays are performed where the electron motion is considered in a harmonic potential and in a static magnetic field. Results concern electron trajectories and Poincar{\'e} sections from the classical calculation. The analysis of the Poincar{\'e} sections reveals a strong influence of the length of the constriction on the chaotic regions in phase space. Density probabilities from the quantum mechanical calculation show a significant correspondence to classically calculated trajectories.",

keywords = "Open quantum dots, Phase space analysis, Transport simulation",

author = "Roland Brunner and Ronald Meisels and Friedemar Kuchar and Richard Akis and Ferry, {David K.} and Bird, {Jonathan P.}",

note = "Funding Information: Acknowledgment This work is supported by the Austrian Science Fund, project no. 15513.",

year = "2007",

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doi = "10.1007/s10825-006-0068-8",

language = "English (US)",

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T1 - Classical and quantum mechanical transport simulations in open quantum dots

AU - Brunner, Roland

AU - Meisels, Ronald

AU - Kuchar, Friedemar

AU - Akis, Richard

AU - Ferry, David K.

AU - Bird, Jonathan P.

N1 - Funding Information: Acknowledgment This work is supported by the Austrian Science Fund, project no. 15513.

PY - 2007/9

Y1 - 2007/9

N2 - Simulations of open dot arrays are performed where the electron motion is considered in a harmonic potential and in a static magnetic field. Results concern electron trajectories and Poincaré sections from the classical calculation. The analysis of the Poincaré sections reveals a strong influence of the length of the constriction on the chaotic regions in phase space. Density probabilities from the quantum mechanical calculation show a significant correspondence to classically calculated trajectories.

AB - Simulations of open dot arrays are performed where the electron motion is considered in a harmonic potential and in a static magnetic field. Results concern electron trajectories and Poincaré sections from the classical calculation. The analysis of the Poincaré sections reveals a strong influence of the length of the constriction on the chaotic regions in phase space. Density probabilities from the quantum mechanical calculation show a significant correspondence to classically calculated trajectories.

KW - Open quantum dots

KW - Phase space analysis

KW - Transport simulation

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EP - 96

JO - Journal of Computational Electronics

JF - Journal of Computational Electronics

IS - 1-3

ER -

Classical and quantum mechanical transport simulations in open quantum dots

Abstract

Keywords

ASJC Scopus subject areas

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