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Single Charges in 2-Dimensional Junction Arrays

  • Chapter
Single Charge Tunneling

Part of the book series: NATO ASI Series ((NSSB,volume 294))

Abstract

Several circuits composed of small-capacitance tunnel junctions have been used to study single-electron and charging effects. Among them two-dimensional arrays take a special place due to the fact that for each junction the presence of all other junctions with high resistance provides an excellent decoupling from the environment. As a result many of the single-electron effects are very pronounced. In addition, properties special for the two-dimensional system are expected and observed [1]. Arrays built from normal junctions may show at low temperature insulating behavior, and only at higher temperature a Kosterlitz-Thouless-Berezinskii (KTB) [2, 3] phase transition to a conducting phase occurs [4]. In arrays built from Josephson junctions a phase transition separates an insulating from a superconducting state [5]. An interesting duality exists [6]–[10] between single charges, whose motion produces a current, and vortices, whose motion produces a voltage. The former dominate in arrays where the charging energy E C exceeds the Josephson coupling E j , the latter in arrays with E j exceeding E C . Moreover, in arrays with low dissipation the vortices can have a very special dynamics [11]–[16], associated with the electric field energy. They are found to show quantum as well as ballistic behavior.

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Author information

Authors and Affiliations

  1. Department of Applied Physics, Delft University of Technology, Lorentzweg 1, 2628 CJ, Delft, The Netherlands

    J. E. Mooij

  2. Institut für Theoretische Festkörperphysik, Universität Karlsruhe, Engesserstr. 7, D-7500, Karlsruhe 1, Germany

    Gerd Schön

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  1. J. E. Mooij
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  2. Gerd Schön
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Editors and Affiliations

  1. Universität Essen, Essen, Germany

    Hermann Grabert

  2. Centre d’Etudes de Saclay, Gif-sur-Yvette, France

    Michel H. Devoret

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Mooij, J.E., Schön, G. (1992). Single Charges in 2-Dimensional Junction Arrays. In: Grabert, H., Devoret, M.H. (eds) Single Charge Tunneling. NATO ASI Series, vol 294. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2166-9_8

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  • DOI: https://doi.org/10.1007/978-1-4757-2166-9_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-2168-3

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