Journal of Low Temperature Physics

, Volume 82, Issue 1–2, pp 67–92 | Cite as

Phase transition of frustrated two-dimensional Josephson junction arrays

  • H. S. J. van der Zant
  • H. A. Rijken
  • J. E. Mooij


We have investigated the resistive behavior of frustrated Josephson tunnel junction arrays. The transitions nearf=1/2, atf=1 and at a nonspecial value off=0.38 are studied in detail with linear and nonlinear resistance measurements. The parameterf is the frustration index, the applied flux per unit cell of the array normalized to the flux quantum Φ0=h/2e. The transition atf=1/2 looks similar to the zero-field Kosterlitz-Thouless transition, including a universal jump in the nonlinear resistance exponent. Compared tof=0, the transition is shifted to much lower temperatures. Nearf=1/2, below the transition temperature, single vortex crossings dominate the resistance. The transition atf=1 is qualitively the same as thef=0 Kosterlitz-Thouless transition, but small deviations are found. Forf=0.38, there is no experimental evidence for a special phase transition; over the whole temperature range, the resistance decreases exponentially with an energy barrier close to two in units of the Josephson coupling energy.


Vortex Phase Transition Tunnel Junction Special Phase Coupling Energy 
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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • H. S. J. van der Zant
    • 1
  • H. A. Rijken
    • 1
  • J. E. Mooij
    • 1
  1. 1.Department of Applied PhysicsDelft University of TechnologyDelftThe Netherlands

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