Geodesic
Investigation of the electron-state densities in two-band super conductors with a nonmagnetic impurity
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 264-282 Cet article a éte moissonné depuis la source Math-Net.Ru

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The electron-state densities $n_n(\omega)$ and also the related functions $\bar n_n(\omega)$, $m_n(\omega)$, and $\bar m_n(\omega)$ are calculated for a two-band superconductor with a nonmagnetic impurity in the limiting cases when the impurity has a low or a high concentration. The calculations are made for all frequencies in the range $\omega\geqslant\Omega_g$, where $\Omega_g$ is the single-particle spectrum energy gap of the two-band superconductor. It is shown that at low impurity concentrations $n_1$ and $n_2$ have sharp peaks near the corresponding energy gaps $\gamma_1$ and $\gamma_2$ of the pure two-band superconductor. Far from these values $\omega=\gamma_n$ a small impurity concentration hardly modifies the expressions for the densities given by the BCS-Bogolyubov theory for a pure two-band superconductor. If the nonmagnetic impurity has a high concentration, the functions $n_n$, $\bar n_n$, etc., of both bands differ little, and the state densities $n_n$ have a common maximum at the frequency $\Omega_m=\frac{\Gamma_1N_1+\Gamma_2N_2}{N_1+N_2}$. The energy gap $\Omega_g$ in this limiting case is somewhat less than $\Omega_m$. The densities $n_m(\omega)$ obtained in the different frequency ranges are fitted at the boundaries of these ranges. 
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     title = {Investigation of the electron-state densities in two-band super conductors with a nonmagnetic impurity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {264--282},
     year = {1972},
     volume = {12},
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N. I. Botoshan; V. A. Moskalenko; A. M. Ursu. Investigation of the electron-state densities in two-band super conductors with a nonmagnetic impurity. Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 264-282. http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a11/

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