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A superconductor in the external pair potential. Accounting of the Coulomb pseudopotential

Formulated in [Low Temperature Physics/Fizika Nizkikh Temperatur, 41, 482 (2015)] model of hypothetical superconductivity with the source term (external pair potential) in BCS hamiltonian is generalized for a case if electrons interacts via both BCS model attraction and screened Coulomb repulsion. Unlike the previous work the superconductor has critical temperature which determined with the Coulomb interaction within a Cooper pair. It has been shown the external pair potential is effective for superconductors where Tolmachev logarithm is small (nonadiabatic case). A free energy functional and equations similar to Ginzburg-Landau equations have been found for such a model.

preprint2015arXivOpen access
Konstantin V. Grigorishin
cond-mat.supr-con
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Konstantin V. Grigorishin

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