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Coherent Ballistic Transport in Micro-Junctions: Quenching, Fluctuations, and Chaos

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Science and Technology of Mesoscopic Structures

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Summary

We compare the quantum and classical transport properties of ballistic microstructures and find two important differences. First, there are large fluctuations of the quantum conductance in experimentally realizable structures caused by coherent scattering from the geometric features. These fluctuations arise from interference between long paths trapped in a junction or cavity. A semiclassical argument shows that the scale of the magnetic field correlation function for the quantum fluctuations is determined by the underlying chaotic classical scattering, a result which is confirmed numerically. Second, we extract the average quantum behavior using an ensemble of very weak impurities and some thermal broadening. While the classical and quantum results are in good qualitative agreement, we find substantial quantitative differences that persist well into the many-channel (classical) limit. The first effect should be observable in low-temperature resistance measurements on high-mobility heterostructure devices; the second is relevant to recent experiments on quenching of the Hall resistance.

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Author information

Author notes

  1. Rodolfo A. Jalabert

    Present address: Service de Physique de l’Etat Condensé, CEA Saclay, 91191, Gif-sur-Yvette Cédex, France

Authors and Affiliations

  1. AT&T Bell Laboratories 1D-230, Murray Hill, NJ, 07974-0636, USA

    Harold U. Baranger

  2. Applied Physics, Yale University, New Haven, CT, 06520, USA

    Rodolfo A. Jalabert & A. Douglas Stone

Authors
  1. Harold U. Baranger
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  2. Rodolfo A. Jalabert
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  3. A. Douglas Stone
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Editor information

Editors and Affiliations

  1. 536 Aba-machi, 851-01, Nagasaki, Japan

    Susumu Namba (Professor Emeritus of Osaka University, Professor of Nagasaki Institute of Applied Science) (Professor Emeritus of Osaka University, Professor of Nagasaki Institute of Applied Science)

  2. Department of Electronic Engineering, Osaka University, Yamadaoka 2-1, Suita City, Osaka, 565, Japan

    Chihiro Hamaguchi (Professor) (Professor)

  3. Institute for Solid State Physics, University of Tokyo, 7-22-1 Roppongi, Minato-ku, Tokyo, 106, Japan

    Tsuneya Ando (Professor) (Professor)

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© 1992 Springer Japan

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Baranger, H.U., Jalabert, R.A., Stone, A.D. (1992). Coherent Ballistic Transport in Micro-Junctions: Quenching, Fluctuations, and Chaos. In: Namba, S., Hamaguchi, C., Ando, T. (eds) Science and Technology of Mesoscopic Structures. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66922-7_4

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  • DOI: https://doi.org/10.1007/978-4-431-66922-7_4

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-66924-1

  • Online ISBN: 978-4-431-66922-7

  • eBook Packages: Springer Book Archive

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