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

2015/04/28 by Konstantin V. Grigorishin, Grigorishin, Konstantin V.
Physics and Astronomy · #FOS: Physical sciences #Superconductivity (cond-mat.supr-con) #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.1504.07542

This paper has been withdrawn by the author due to a crucial sign error in equation 9

arxiv created 2015/06/27 · arxiv updated 2015/06/30

Abstract

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.

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