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Influence of the form of the phonon spectrum on the transition temperature of superconductors

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Abstract

The influence of the form of the phonon spectrum on the superconducting transition temperatureT S under the usual pairing mechanism is investigated. The coupling constant λ, which determinesT S in the two-phonon-peak and acoustic dispersion models, is calculated, and its dependence on the usual coupling constant and other parameters is determined. It is shown that the maximum possible value of λ is unity. An expression is derived forT S ,making it possible to find the exact numerical value of the coefficient of the exponential function for any form of phonon spectrum.

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Geilikman, V.T., Masharov, N.F. Influence of the form of the phonon spectrum on the transition temperature of superconductors. J Low Temp Phys 6, 131–139 (1972). https://doi.org/10.1007/BF00630912

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  • DOI: https://doi.org/10.1007/BF00630912

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