%0 Journal Article
%T Specific heat of MgB$_2$ in a one- and a two-band model from first-principles calculations
%A A. A. Golubov
%A J. Kortus
%A O. V. Dolgov
%A O. Jepsen
%A Y. Kong
%A O. K. Andersen
%A B. J. Gibson
%A K. Ahn
%A R. K. Kremer
%J Physics
%D 2001
%I arXiv
%R 10.1088/0953-8984/14/6/320
%X 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.
%U http://arxiv.org/abs/cond-mat/0111262v2