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Single Charges in 2-Dimensional Junction Arrays

  • J. E. Mooij
  • Gerd Schön
Part of the NATO ASI Series book 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.

Keywords

Josephson Junction Cooper Pair Single Charge Screen Length Junction Capacitance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • J. E. Mooij
    • 1
  • Gerd Schön
    • 2
  1. 1.Department of Applied PhysicsDelft University of TechnologyDelftThe Netherlands
  2. 2.Institut für Theoretische FestkörperphysikUniversität KarlsruheKarlsruhe 1Germany

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