Unresolved problems in superconductivity of CaC6
I. I. Mazin, L. Boeri, O.V. Dolgov, A.A. Golubov, G.B. Bachelet, M., Giantomassi, and O.K.Andersen

TL;DR
This paper reviews the current understanding of superconductivity in CaC6, highlighting unresolved issues between experimental observations and theoretical predictions regarding phonon interactions.
Contribution
It identifies discrepancies between experimental data and first-principles calculations, emphasizing unresolved problems in the phonon-mediated superconductivity model for CaC6.
Findings
Weak-coupling regime suggested by specific heat measurements
Isotope effect indicates coupling with low-energy intercalant modes
First-principles calculations predict equal coupling with high- and low-energy phonons
Abstract
We discuss the current status of the theory of the "high-temperature" superconductivity in intercalated graphites YbC6 and CaC6. We emphasize that while the general picture of conventional, phonon-driven superconductivity has already emerged and is generally accepted, there are still interesting problems with this picture, such as weak-coupling regime inferred from specific heat suggesting coupling exclusively with high-energy carbon phonons coming in direct contradiction with the isotope effect measurements suggesting coupling exclusively with the low-energy intercalant modes. At the same time, the first principle calculations, while explaining Tc, contradict both of the experiments above by predicting equal coupling with both groups of phonons.
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