Abstract
Superconductivity theory of the two-band systems with all possible intra- and interband interactions, applicable at the arbitrary charge carrier densities up to values of chemical potential μ≈Δ is developed. Collective oscillations in these systems are studied. The presence of additional order parameterΔ 12 , besidesΔ 11 ,Δ 22 , in these system leads to the essential mixing of the fluctuations of the phases and amplitudes of order parameters from different bands. This mixing is a reason of arising the additional exciton-like collective mode besides two ones (acoustical Bogolyubov-Anderson one and exciton-like one caused by the fluctuations of phases of order parameters from different bands) which are also observed in the case μ≫Δ. This mixing leads also to the essential dependence of these two exciton-like modes on the charge carrier density.
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