Low Temperature Physics: 28, 1 (2002); https://doi.org/10.1063/1.1449177 (5 pages)
Fizika Nizkikh Temperatur: Volume 28, Number 1 (January 2002), p. 3-9    ( to contents , go back )

Temperature-dependent resistance of a finite one-dimensional Josephson junction array

Klas Engström and Jari M. Kinaret

Department of Applied Physics, Chalmers University of Technology and Göteborg University SE-412 96 Göteborg, Sweden
E-mail: klase@fy.chalmers.se

Received August 27, 2001

Abstract

We study theoretically the temperature and array-length dependences of the resistance of a finite one-dimensional array of Josephson junctions. We use both analytic approximations and numerical simulations, and conclude that within the self-charging model, all finite arrays are resistive in the low-temperature limit. A heuristic analysis shows qualitative agreement with resistance obtained from Monte Carlo simulations, establishing a connection between resistance and the occurrence of vortices in the corresponding 1 +1D XY-model. We compare our results with recent experiments and conclude that while the self-charging model reproduces some of the experimental observations, it underestimates the superconducting tendencies in the experimental structures.

PACS:
74.50.+r - Tunneling phenomena; point contacts, weak links, Josephson effects (for SQUIDs, see 85.25.Dq; for Josephson devices, see 85.25.Cp; for Josephson junction arrays, see 74.81.Fa)
73.23.Hk - Coulomb blockade; single-electron tunneling
74.25.Fy - Transport properties (electric and thermal conductivity, thermoelectric effects, etc.)

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