Theory of Fluctuations in a Network of Parallel Superconducting Wires

Details Theory of Fluctuations in a Network of Parallel Superconducting Wires Theory of Fluctuations in a Network of Parallel Superconducting Wires

2008-06-22

arxiv.org/abs/0806.3551v1

Physics

Condensed Matter

Superconductivity

17 pages, 7 figures

Scientific paper

We show how the partition function of a network of parallel superconducting wires weakly coupled together by the proximity effect, subjected a vector potential along the wires can be mapped onto N-distinguishable two dimensional quantum-mechanics problem with a perpendicular imaginary magnetic field. Then, we show, using a mean field approximation, that, for a given coupling, there is a critical temperature for onset of inter-wire phase coherence. The transition temperature $T_c$ is plotted on both cases for non-magnetic and a magnetic field perpendicular to the wires.

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