Effect of interband interactions on the pressure dependence on transition temperature of MgB₂

Highlights: • We derived the pressure dependence on superconducting transition temperature of s-wave two-band superconductor. • The influence of both phonon and non-phonon interband interactions is considered. • The importance of the studies to magnesium diboride is presented. - Abstract: A two-band BCS model with interactions, both phonon and non-phonon induced interactions, were employed to investigate the pressure dependence on superconducting transition temperature of two-band superconductor. We derived the transition temperature and its pressure dependence within Bogoliubov-Valatin formalism for magnesium diboride superconductor. We examined the influence of interband interactions on transition temperature at varying pressure and analyzed the relevance of this calculation in magnesium diboride, MgB₂.