High $T_c$ superconductivity in MgB$_2$ by nonadiabatic pairing

Details High $T_c$ superconductivity in MgB$_2$ by nonadiabatic pairing High $T_c$ superconductivity in MgB$_2$ by nonadiabatic pairing

2001-05-17

arxiv.org/abs/cond-mat/0105351v2

Physics

Condensed Matter

Superconductivity

4 revtex pages, 3 eps figures, to appear on Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.88.117003

The evidence for the key role of the $\sigma$ bands in the electronic properties of MgB$_2$ points to the possibility of nonadiabatic effects in the superconductivity of these materials. These are governed by the small value of the Fermi energy due to the vicinity of the hole doping level to the top of the $\sigma$ bands. We show that the nonadiabatic theory leads to a coherent interpretation of $T_c = 39$ K and the boron isotope coefficient $\alpha_{\rm B} = 0.30$ without invoking very large couplings and it naturally explains the role of the disorder on $T_c$. It also leads to various specific predictions for the properties of MgB$_2$ and for the material optimization of these type of compounds.

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