Three-Dimensional MgB2-Type Superconductivity in Hole-Doped Diamond
Lilia Boeri, Jens Kortus, O. K. Andersen
DOI 10.1103/PhysRevLett.93.237002 · Physical Review Letters
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Abstract
We substantiate by numerical and analytical calculations that the recently discovered superconductivity below 4 K in 3% boron-doped diamond is caused by electron-phonon coupling of the same type as in MgB2, albeit in three dimensions. Holes at the top of the zone-centered, degenerate σ-bonding valence-band couple strongly to the optical bond-stretching modes. The increase from two to three dimensions reduces the mode softening crucial for Tc reaching 40 K in MgB2. Even if diamond had the same bare coupling constant as MgB2, which could be achieved with 10% doping, Tc would be only 25 K. Superconductivity above 1 K in Si (Ge) requires hole doping beyond 5% (10%).
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