Specific heat of MgB$_2$ in a one- and a two-band model from first-principles calculations

Abstract

The heat capacity anomaly at the transition to superconductivity of the layered superconductor MgB$_2$ is compared to first-principles calculations with the Coulomb repulsion, $μ^\ast$, as the only parameter which is fixed to give the measured $T_c$. We solve the Eliashberg equations for both an isotropic one-band and a two-band model with different superconducting gaps on the $π$ and $σ$ Fermi surfaces. The agreement with experiments is considerably better for the two-band model than for the one-band model.

final published version