The effect of interband interactions of phonon and charge fluctuation on the superconducting parameters of MgB2

We have investigated the effect of an unconventional pairing mechanism in MgB2 using a two-band model within the framework of Bogoliubov-Valatin formalism. The approach incorporates the intraband s-wave interaction in the s- and p-bands, as well as interband s-wave interaction between them. The analysis assumes that the pairing interaction matrix comprises of attractive electron-phonon, charge fluctuation and repulsive electron-electron (Coulomb) interactions to account for superconductivity in MgB2. The model is used to estimate the transition temperature and isotope effect exponent as well as to elucidate the importance of interband contributions in the superconductivity of the system