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, ${\mu }^{\ast }$, 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 $\pi$ and $\sigma$ Fermi surfaces. The agreement with experiments is considerably better for the two-band model than for the one-band model.

final published version

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