Geodesic
Investigation of electron densities of states of superconducting transition metals with nonmagnetic impurity
Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 3, pp. 371-389 Cet article a éte moissonné depuis la source Math-Net.Ru

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The densities of electron states of superconducting transition metals with nonmagnetic impurity are calculated in the whole range of frequencies in the limiting cases $\alpha_2\ll1$, $\alpha_1\sim 1$ and $\alpha_1\gg 1$, $\alpha_2\sim 1$ for $\zeta=\Gamma_1/\Gamma_2<1$. Under these assumptions concerning the parameters $\alpha_n$ and $\zeta$, expressions are obtained for the energy gap $\omega_g$ and a detailed investigation is made of the densities of electron states $n_n(\omega)$ of both bands as functions of the frequency and impurity concentration. It is shown that the density of states $n_1(\omega)$ in the case $\alpha_2\ll1$, $\alpha_1\sim 1$ has two maxima of the same order, one near $\omega_g$ and the other near $\Gamma_2$. The density of states $n_2(\omega)$ has a maximum that is an order of magnitude greater than that of $n_1(\omega)$ in the neighborhood of $\Gamma_2$. In the case of a high impurity concentration ($\alpha_1\gg 1$, $\alpha_2\sim 1$) the energy gap comes close to the order parameter $\Gamma_2$. It is assumed here that $\zeta=\Gamma_1/\Gamma_2<1$. The maxima of the densities of electron states of both bands, $n_n(\omega)$, are obtained at frequencies near the parameter $\Gamma_2$. 
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     author = {N. I. Botoshan and M. I. Vladimir and V. A. Moskalenko},
     title = {Investigation of electron densities of states of superconducting transition metals with nonmagnetic impurity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {371--389},
     year = {1974},
     volume = {19},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_19_3_a8/}
}
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N. I. Botoshan; M. I. Vladimir; V. A. Moskalenko. Investigation of electron densities of states of superconducting transition metals with nonmagnetic impurity. Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 3, pp. 371-389. http://geodesic.mathdoc.fr/item/TMF_1974_19_3_a8/

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[2] N. I. Botoshan, V. F. Garabadzhiu, V. A. Moskalenko, Issledovaniya po kvantovoi teorii sistem mnogikh chastits, Sb., «Shtiintsa», Kishinev, 1971, 18 | MR

[3] L. Y. Shen, N. M. Senozean, N. E. Phillips, Phys. Rev. Lett., 14 (1965), 1025 | DOI

[4] M. I. Vladimir, V. A. Moskalenko, Kvantovaya teoriya sistem mnogikh chastits, Sb., «Shtiintsa», Kishinev, 1973, 95 | MR

[5] V. A. Moskalenko, FMM, 23 (1967), 585

[6] V. A. Moskalenko, A. M. Ursu, TMF, 7 (1971), 72