Recent Developments in the Study of Superconducting and Normal Metal Networks

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Abstract
The observation and the understanding of frustration effects in superconducting networks have promoted extensive studies in this field since 1983. Perhaps the major impact of this subject results from the direct correspondence between the Ginzburg-Landau equation for the superconducting transition and the Schrödinger equation. This duality makes these systems excellent model systems for accurate testing of general properties of the electronic states on artificial lattices. Thees studies have been extended in two directions : measuremnts of fiux quantization in self similar or quasiperiodic networks, investigation of the mixed state and equilibrium magnetization below Tc. Measurements have also been performed on the magnetoresistance of various periodic and non periodic networks in the weak localization regime. Comparison with theoretical prediction based upon the A.A.S. model and its extension by Douçot and Rammal to arbitrary networks, provides a very accuratetest of the weak localization theory in periodic as well as self similar networks. The most recent developments in this field are reviewed, in this paper.

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