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Specific heat difference functional derivative within strong coupling theory

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Abstract

A formal expression is derived for the functional derivative of the specific heat difference with respect to the electron-phonon spectral density valid for strong coupling superconductors and for all temperatures. A numerical solution of the Eliashberg equations is required to obtain results for the functional derivative. Moreover, a previous weak coupling approximation has been extended into the strong coupling regime and analytic expressions for the functional derivative atT c have been derived. Finally, the way in which this work encompasses the previous weak coupling results is discussed.

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Marsiglio, F., Carbotte, J.P. & Schachinger, E. Specific heat difference functional derivative within strong coupling theory. J Low Temp Phys 65, 305–324 (1986). https://doi.org/10.1007/BF00684004

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