Resistance of Josephson-junction arrays at low temperatures
L. B. Ioffe, B. N. Narozhny
DOI 10.1103/PhysRevB.58.11449 · Physical Review B
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Abstract
We study the motion of vortices in arrays of Josephson junctions at zero temperature where it is controlled by quantum tunneling from one plaquette to another. The tunneling process is characterized by a finite time and can be slow compared to the superconducting gap (so that τΔ≫1). The dissipation which accompanies this process arises from rare processes when a vortex excites a quasiparticle above the gap while tunneling through a single junction. We find that the dissipation is significant even in the case τΔ≫1; in particular it is not exponentially small in this parameter. We use the calculated energy dissipation for the single vortex jump to estimate the physical resistance of the whole array.
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