Magneto-transport in open quantum dot arrays at the transition from low to high magnetic fields: Regularity and chaos

R. Brunner; R. Meisels; F. Kuchar; R. Akis; D. K. Ferry; J. P. Bird

doi:10.1142/s0217979207042756

Magneto-transport in open quantum dot arrays at the transition from low to high magnetic fields: Regularity and chaos

R. Brunner
, R. Meisels
, F. Kuchar
, R. Akis
, D. K. Ferry
, J. P. Bird

Department of Electrical Engineering

University of Leoben
Arizona State University

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

3 Scopus citations

Abstract

The mixed phase space in an open quantum dot array with a soft confining potential is studied in low and high magnetic fields. Chaos occurs due to the perturbations by the constrictions connecting the dots of the array. Regular orbits and the areas of Kalmogorov-Arnold-Moser islands in phase space become increasingly dominating with increasing magnetic field. The correspondence to the high-field quantum-mechanical picture in a 2D electron system with boundaries is discussed.

Original language	English
Pages (from-to)	1288-1296
Number of pages	9
Journal	International Journal of Modern Physics B
Volume	21
Issue number	8-9
DOIs	https://doi.org/10.1142/s0217979207042756
State	Published - Apr 10 2007

Keywords

Classical-to-quantum-mechanical transition
Open quantum dot array
Phase space analysis

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10.1142/s0217979207042756

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abstract = "The mixed phase space in an open quantum dot array with a soft confining potential is studied in low and high magnetic fields. Chaos occurs due to the perturbations by the constrictions connecting the dots of the array. Regular orbits and the areas of Kalmogorov-Arnold-Moser islands in phase space become increasingly dominating with increasing magnetic field. The correspondence to the high-field quantum-mechanical picture in a 2D electron system with boundaries is discussed.",

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AU - Brunner, R.

AU - Meisels, R.

AU - Kuchar, F.

AU - Akis, R.

AU - Ferry, D. K.

AU - Bird, J. P.

PY - 2007/4/10

Y1 - 2007/4/10

N2 - The mixed phase space in an open quantum dot array with a soft confining potential is studied in low and high magnetic fields. Chaos occurs due to the perturbations by the constrictions connecting the dots of the array. Regular orbits and the areas of Kalmogorov-Arnold-Moser islands in phase space become increasingly dominating with increasing magnetic field. The correspondence to the high-field quantum-mechanical picture in a 2D electron system with boundaries is discussed.

AB - The mixed phase space in an open quantum dot array with a soft confining potential is studied in low and high magnetic fields. Chaos occurs due to the perturbations by the constrictions connecting the dots of the array. Regular orbits and the areas of Kalmogorov-Arnold-Moser islands in phase space become increasingly dominating with increasing magnetic field. The correspondence to the high-field quantum-mechanical picture in a 2D electron system with boundaries is discussed.

KW - Classical-to-quantum-mechanical transition

KW - Open quantum dot array

KW - Phase space analysis

UR - https://www.scopus.com/pages/publications/34248641426

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DO - 10.1142/s0217979207042756

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JF - International Journal of Modern Physics B

IS - 8-9

ER -

Magneto-transport in open quantum dot arrays at the transition from low to high magnetic fields: Regularity and chaos

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Keywords

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