Geodesic
Magnetic impurity effect on superconductivity in systems with comparable Fermi and Debye energies
Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 3, pp. 455-474 
M. E. Palistrant. Magnetic impurity effect on superconductivity in systems with comparable Fermi and Debye energies. Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 3, pp. 455-474. http://geodesic.mathdoc.fr/item/TMF_1999_119_3_a8/
@article{TMF_1999_119_3_a8,
     author = {M. E. Palistrant},
     title = {Magnetic impurity effect on superconductivity in systems with comparable {Fermi} and {Debye} energies},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {455--474},
     year = {1999},
     volume = {119},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_119_3_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain the basic system of equations for a superconductivity theory of a system with a chaotically distributed paramagnetic substitution impurity in which the Migdal theorem is violated (the condition $\omega_{\operatorname D}\ll E_{\operatorname F}$ cannot be assumed). The electron-phonon and impurity diagrams and also the additional diagrams corresponding to intersections of the electron-phonon and electron-impurity lines are taken into account. In the weak electron-phonon coupling limit, we obtain an equation for the superconducting transition temperature $T_C$ that differs from the corresponding equation for the usual superconductors by renormalizations of $T_{C0}$ and of the impurity scattering parameter $\rho$. These quantities depend essentially on the Migdal parameter $m=\omega_{\operatorname D}/E_{\operatorname F}$ and on the transferred momentum $q_c$. We show that the decrease of $T_C$ with the increase of the impurity concentration is slowed, as compared with usual superconductors, to an extent determined by $m$ and $q_c$. We also evaluate the isotopic coefficient $\alpha$, whose behavior as a function of the impurity concentration depends on $m$ and $q_c$.

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