Abstract
A system of equations is obtained for the order parameters Δnm and the chemical potential μ of two-band superconductors with low carrier densities at T=0. The limiting case of μn<0, corresponding to a Bose condensate of localized pairs in both bands, is considered, and all possible inter- and intraband interactions are taken into account. For Δ 2nm /μ 2n,m ≪1, the above system of equations is reduced to a system of linear equations whose analytical solutions are found. The dependences of Δnm and μ on electron-electron interaction constants and carrier densities are analyzed.
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References
D. M. Eagles,Phys. Rev.,186, 456 (1969).
D. M. Legget, in:Modern Trends the Theory of Condensed Matter (A. Pekalski and J. Przystawa, eds.), Springer, Berlin (1980).
P. Nozieres and S. Schmitt-Rink,J. Low Temp. Phys.,59, 195 (1985).
M. Randeria, J. M. Duan, and L. Y. Schieh,Phys. Rev. Lett.,62, 981 (1989).
D. Van Der Marel,Physica C,165, 35 (1990).
E. V. Gorbar, V. P. Gusynin, and V. M. Loktev,Sverkhprovodimost': Fiz., Khim., Tekh.,6, 483 (1993);Fiz. Nizk. Temp.,19, 1171 (1993).
H. Krakauer and W. E. Pickett,Phys. Rev. Lett.,60, 1661 (1988).
J. E. Herman, R. V. Kasovski, and W. J. Hsau,Phys. Rev. B,36, 6904 (1987).
V. A. Moskalenko,Fiz. Magn. Mater.,8, 504 (1959).
H. Suhl, B. T. Mathias, and L. K. Walker,Phys. Rev. Lett.,3, 552 (1959).
V. A. Moskalenko, M. E. Palistrant, and V. M. Vackalyuk,Fiz. Nisk. Temp.,16, 378 (1989).
V. A. Moskalenko, M. E. Palistrant, V. M. Vackalyuk, and I. V. Padure,Solid State Commun.,69, 747 (1989).
M. E. Palistrant and V. M. Vackalyuk,Sverkhprovodimost,3, 567, (1990).
V. A. Moskalenko, M. E. Palistrant, and V. M. Vackalyuk,Usp. Fiz. Nauk,161, No. 8, 156 (1991).
M. E. Palistrant and F. G. Kochorbe,Physica C,194, 351 (1992).
M. G. Kalalb, F. G. Kochorbe, and M. E. Palistrant,Teor. Mat. Fiz.,91, 483 (1992).
V. A. Moskalenko and M. E. Palistrant,Zh. Eksp. Teor. Fiz.,49, 770 (1965).
V. A. Moskalenko and M. E. Palistrant.Dokl. Akad. Nauk SSSR,162, 539 (1965).
V. A. Moskalenko, L. E. Kon, and M. E. Palistrant,Low-Temperature Properties of Metals With Band Spectrum Singularities [in Russian], Stiintsa, Kishinev (1989).
F. G. Kochorbe and M. E. Palistrant,Zh. Eksp. Teor. Fiz.,104, 3084 (1993).
G. G. Kochorbe and M. E. Palistrant,Teor. Mat. Fiz.,96, 459 (1993).
A. A. Gorbatsevich and I. V. Tokatly,Zh. Eksp. Teor. Fiz.,103, 702 (1993).
N. Kristoffel, P. Konsin, and T. Ord,Rev. Nuovo Cimento,17, No. 9, 1 (1994).
A. A. Abrikosov, A. P. Gorkov, and I. E. Dzialoshinski,Quantum Field Theory Methods in Statistical Physics [in Russian], Fizmatgiz, Moscow (1962).
M. E. Palistrant,Teor. Mat. Fiz.,95, 101 (1993).
E. V. Gorbar, V. M. Loktev, and S. G. Sharapov, Preprint ITP-94-14P; ITP-94-29P, Kiev (1994).
M. E. Palistrant and F. G. Kochorbe, in:Quantum Field Methods for Investigating HTSC in Disordered Systems [in Russian], Stiintsa, Kishinev (1992), p. 3.
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Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 105, No. 3. pp. 491–502. December, 1995.
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Palistrant, M.E. The influence of overlapping energy bands on the superconductivity of localized bose-condensate pairs atT=0. Theor Math Phys 105, 1593–1602 (1995). https://doi.org/10.1007/BF02070881
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DOI: https://doi.org/10.1007/BF02070881