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We consider a model for superconductivity in a two-band superconductor,having an anisotropic electronic structure made of two partially overlappingbands with a first hole-like and a second electron-like fermi surface. In thispairing scenario, driven by the interplay between interband $V_{i,j}$ andintraband $V_{i,i}$ pairing terms, we have solved the two gap equations at thecritical temperature $T = T_c$ and calculate $T_c$ and the chemical potential$\mu$ as a function of the number of carriers $n$ for various values of pairinginteractions, $V_{1,1}$, $V_{2,2}$, and $V_{1,2}$. The results show thecomplexity of the physics of condensates with multiple order parameters withthe chemical potential near band edges.

Two-bands superconductivity with intra- and interband pairing for synthetic superlattices