Geodesic
Superconductivity in two-band systems with a small concentration of carriers
Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 1, pp. 137-151 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a superconducter with two features characteristic for high temperature materials: small concentration of charge carriers and overlaping of energy strips on Fermy surface. For $T=0$ in the meanfield approximation the order parameters $\Delta_n$ and chemical potential $\mu$ for bose-condensation of local pairs ($\mu<0$) are found. An equation for the energy $\varepsilon_b$ of the bound state as well as an equality $\varepsilon_b=2\mu$ are obtained. Applying the path integral method to two-zone model the transition from Fermy to Bose exitations in the presence of a two-particle bound state is described. An expression of the Bose condensation temperature and the contribution of a residual Bose interaction between the systems of different dimensions are found. 
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M. E. Palistrant. Superconductivity in two-band systems with a small concentration of carriers. Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 1, pp. 137-151. http://geodesic.mathdoc.fr/item/TMF_1996_109_1_a12/

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