On the Theory of "Odd"-Pairing Superconductors

Physics – Condensed Matter

Scientific paper

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17 pages, 6 figures available from authors, RevTeX, IEF-LTF 3-93

Scientific paper

We consider the model of superconducting pairing with the energy gap function which is odd over $k-k_{F}$.\ In this case superconductivity is possible even in the presence of an arbitrarily large point-like repulsion between electrons,\ which is attractive for the theory of high-temperature superconductors.\ We discuss mainly a model pairing interaction for which the BCS equations can be solved exactly,\ allowing the complete analysis of the interplay of the usual (``even'') and ``odd'' pairing,\ depending on the coupling constant.\ We also show that the normal impurities (disorder) lead to a rapid degradation of the ``odd'' pairing,\ which is even more rapid than in case of magnetic impurities in traditional superconductors.

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