Basic Principles and Concepts in the Physics of Low Dimensional Cooperative Systems

This NATO institute is devoted to a study of quasi- one and two dimensional systems which exhibit strong electronic correlations. Low dimensionality and strong interactions may lead to many fascinating quasi- ordered states in solids, e.g. magnetism, super conductivity, Peierls distortions, charge or spin density waves, etc. This presentation shall attempt to introduce to students or other non-solid state scientists some of the basic ideas which the author has found to be useful and relevant for thinking and visualizing the systems under investigation. We shall usually not reproduce detailed calculations which we already have available in the literature, but rather attempt to give a feeling for the physical arguments which lead to the predicted results. While our emphasis will lie with theory, the models considered are direct manifestations of the experimentally known nature of the systems under study. We shall present very little detailed experimental results; these have been reviewed by Shchegolev,(1) for the highly conducting ld systems, and by DeJongh and Hiedema(2) and Hone and Richards(3) for the lower dimensionality magnetic systems. Of course, at this institute I expect that much of the most recent work will be presented.

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