Superfluid Flow Past an Array of Scatterers

Details Superfluid Flow Past an Array of Scatterers Superfluid Flow Past an Array of Scatterers

1998-12-16

arxiv.org/abs/cond-mat/9812268v1

Phys. Rev. B 60, 13139 (1999)

Physics

Condensed Matter

Superconductivity

23 pages, REVTEX, six eps-figures included; submitted to PRB

Scientific paper

10.1103/PhysRevB.60.13139

We consider a model of nonlinear superfluid flow past a periodic array of point-like scatterers in one dimension. An application of this model is the determination of the critical current of a Josephson array in a regime appropriate to a Ginzburg-Landau formulation. Here, the array consists of short normal-metal regions, in the presence of a Hartree electron-electron interaction, and embedded within a one-dimensional superconducting wire near its critical temperature, $Tc$. We predict the critical current to depend linearly as $A (Tc-T)$, while the coefficient $A$ depends sensitively on the sizes of the superconducting and normal-metal regions and the strength and sign of the Hartree interaction. In the case of an attractive interaction, we find a further feature: the critical current vanishes linearly at some temperature $T*$ less than $Tc$, as well as at $Tc$ itself. We rule out a simple explanation for the zero value of the critical current, at this temperature $T*$, in terms of order parameter fluctuations at low frequencies.

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