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

Physics – Condensed Matter – Superconductivity

Scientific paper

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final published version

Scientific paper

10.1088/0953-8984/14/6/320

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.

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