P H E Tiesinga et al 1997 J. Phys.: Condens. Matter 9 1813 doi:10.1088/0953-8984/9/8/011
P H E Tiesinga
, T J Hagenaars
,
, J E van Himbergen
and Jorge V José§
We have numerically and analytically studied (ac+dc)-driven Josephson-junction arrays with a single vortex or with a single vortex - antivortex pair present. We find single-vortex steps in the voltage versus current (I - V) characteristics of the array. They correspond microscopically to a single vortex phase-locked to move a fixed number of plaquettes per period of the ac driving current. In underdamped arrays we find vortex motion period doubling on the steps. We observe subharmonic steps in both underdamped and overdamped arrays. We successfully compare these results with a phenomenological model of vortex motion with a non-linear viscosity. The I - V characteristic of an array with a vortex - antivortex pair displays fractional voltage steps. A possible connection of these results to present-day experiments is also discussed.
74.81.Fa Josephson junction arrays and wire networks
74.20.De Phenomenological theories (two-fluid, Ginzburg-Landau, etc.)
Issue 8 (24 February 1997)
Received 24 October 1996, in final form 13 December 1996
P H E Tiesinga et al 1997 J. Phys.: Condens. Matter 9 1813
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