Three-dimensional MgB$_{2}$-type superconductivity in hole-doped diamond

Details Three-dimensional MgB$_{2}$-type superconductivity in hole-doped diamond Three-dimensional MgB$_{2}$-type superconductivity in hole-doped diamond

2004-04-19

arxiv.org/abs/cond-mat/0404447v2

Phys. Rev. Lett. 93, 237002 (2004)

Physics

Condensed Matter

Superconductivity

revised version, accepted by PRL

Scientific paper

10.1103/PhysRevLett.93.237002

We substantiate by 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 MgB$_2$, albeit in 3 dimensions. Holes at the top of the zone-centered, degenerate $\sigma$-bonding valence band couple strongly to the optical bond-stretching modes. The increase from 2 to 3 dimensions reduces the mode-softening crucial for $T_{c}$ reaching 40 K in MgB$_{2}.$ Even if diamond had the same \emph{bare} coupling constant as MgB$_{2},$ which could be achieved with 10% doping, $T_{c}$ would only be 25 K. Superconductivity above 1 K in Si (Ge) requires hole-doping beyond 5% (10%).

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