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Quantum Interference in Ballistic Cavities: Conductance Fluctuations and Weak Localization

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Transport Phenomena in Mesoscopic Systems

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 109))

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Abstract

We summarize recent work showing that transport through ballistic cavities is strongly influenced by quantum interference effects. We find both large conductance fluctuations as a function of either magnetic field or wavevector and a substantial weak-localization correction. Both of these effects result from the interference among the complicated trapped paths in the cavity. Using semiclassical arguments, we demonstrate a connection between the classical dynamics in these systems and the quantum conductance properties: the mean area enclosed by a classical trajectory characterizes both the magnetic-field correlation length and the width in field of the weak-localization magnetoconductance. Further, we note a qualitative difference between regular and chaotic geometries in their weak-localization behavior.

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Author information

Author notes

  1. R. A. Jalabert

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

Authors and Affiliations

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

    H. U. Baranger

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

    R. A. Jalabert & A. D. Stone

Authors
  1. H. U. Baranger
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  2. R. A. Jalabert
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  3. A. D. Stone
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Editor information

Editors and Affiliations

  1. Department of Physics, Faculty of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan

    Hidetoshi Fukuyama

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

    Tsuneya Ando

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© 1992 Springer-Verlag Berlin Heidelberg

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Baranger, H.U., Jalabert, R.A., Stone, A.D. (1992). Quantum Interference in Ballistic Cavities: Conductance Fluctuations and Weak Localization. In: Fukuyama, H., Ando, T. (eds) Transport Phenomena in Mesoscopic Systems. Springer Series in Solid-State Sciences, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84818-6_10

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  • DOI: https://doi.org/10.1007/978-3-642-84818-6_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84820-9

  • Online ISBN: 978-3-642-84818-6

  • eBook Packages: Springer Book Archive

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