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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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 $q_c$. 
@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/}
}
TY  - JOUR
AU  - M. E. Palistrant
TI  - Magnetic impurity effect on superconductivity in systems with comparable Fermi and Debye energies
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1999
SP  - 455
EP  - 474
VL  - 119
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1999_119_3_a8/
LA  - ru
ID  - TMF_1999_119_3_a8
ER  - 
%0 Journal Article
%A M. E. Palistrant
%T Magnetic impurity effect on superconductivity in systems with comparable Fermi and Debye energies
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1999
%P 455-474
%V 119
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1999_119_3_a8/
%G ru
%F TMF_1999_119_3_a8
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/

[1] G. J. Uemura et al., Phys. Rev. Lett., 66 (1991), 2665 | DOI

[2] V. Z. Kresin, S. A. Wolf, Phys. Rev. B, 41 (1987), 4278 | DOI

[3] L. Pietronero, S. Strässler, C. Grimaldi, Phys. Rev. B, 52 (1995), 10516 | DOI

[4] A. B. Migdal, ZhETF, 34 (1958), 1438 | MR

[5] C. Grimaldi, L. Pietronero, S. Strässler, Phys. Rev. B, 52 (1995), 10530 | DOI

[6] A. S. Eliashberg, ZhETF, 38 (1960), 966

[7] P. W. Anderson, J. Phys. Chem. Solids, 11 (1959), 26 | DOI | Zbl

[8] A. A. Abrikosov, L. P. Gorkov, ZhETF, 39 (1960), 1781

[9] A. A. Abrikosov, L. D. Gorkov, I. E. Dzyaloshinskii, Metody kvantovoi teorii polya v statisticheskoi fizike, Nauka, M., 1962 | MR

[10] W. L. McMillan, Phys. Rev., 167 (1968), 331 | DOI

[11] N. N. Plakida, Vysokotemperaturnye sverkhprovodniki, Mezhdunar. progr. obrazovaniya, M., 1996

[12] J. M. Taracson et al., Phys. Rev. B, 37 (1988), 7458 | DOI

[13] V. A., Moskalenko, M. E. Palistrant, V. M. Vakalyuk, UFN, 161 (1991), 155 | DOI

[14] F. G. Kochorbe, M. E. Palistrant, ZhETF, 104 (1993), 3084

[15] H. Krakauer, W. E. Pickett, Phys. Rev. Lett., 60 (1988), 1665 | DOI

[16] J. F. Herman, R. V. Kasowski, W. J. Hsau, Phys. Rev. B, 36 (1987), 6904 | DOI

[17] P. W. Anderson, J. R. Schrieffer, Phys. Today, 20 (1991), 84

[18] P. Fulde, Physica C, 153–155 (1988), 1769 | DOI

[19] R. W. Lof, Phys. Rev. Lett., 68 (1992), 3924 | DOI

[20] M. L. Kulic, R. Zeyher, Phys. Rev. B, 49 (1984), 4395 ; Physica B, 199–200 (1994), 358 | DOI | DOI

[21] N. Babushkina, A. Inushkin, V. Ozhogin et al., Physica C, 185–189 (1991), 901 ; 235–240 (1994), 845 | DOI | DOI

[22] V. A. Moskalenko, M. E. Palistrant, ZhETF, 49 (1965), 770