Abstract
The study of organic conductors and superconductors has always been intimately associated with low-dimensional physics: polymers or compounds involving planar molecules have anisotropic structure and associated anisotropic physical properties. Frequently, there is a temperature range over which the behavior is essentially one-dimensional, since thermal broadening is sufficient to mask any departure from the planar Fermi surface which is the hallmark of one-dimensionality. Below a crossover temperature Tx there may be a region of two-dimensionality before all aspects of the crystal structure finally make themselves felt. As a consequence, the past ten to fifteen years have seen an extensive development of the theory of the one-dimensional electron gas1–4: by now we have a detailed understanding of a wide variety of mathematical models, and the analytical or numerical techniques are available for the study of new models, as they become relevant. It has steadily become clear that, although quasi one-dimensional systems are well-suited to the study of structural phase transitions, it is much easier to find superconductivity, and particularly high-temperature superconductivity, in higher dimensions. The arguments leading to this conclusion involve structure in time, momentum space and real space: in other words retardation, nesting and angular momentum.
Supported the by Division of Materials Sciences, U.S. Department of Energy, under contract DE-AC02-76CH00016.
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Emery, V.J. (1987). Theory of the one- and two-Dimensional Electron Gas. In: Delhaes, P., Drillon, M. (eds) Organic and Inorganic Low-Dimensional Crystalline Materials. NATO ASI Series, vol 168. Springer, New York, NY. https://doi.org/10.1007/978-1-4899-2091-1_12
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