Constraints from $T_c$ and the isotope effect for MgB$_2$

Details Constraints from $T_c$ and the isotope effect for MgB$_2$ Constraints from $T_c$ and the isotope effect for MgB$_2$

2001-05-26

arxiv.org/abs/cond-mat/0105512v1

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1103/PhysRevB.64.172513

With the constraint that $T_c = 39$ K, as observed for MgB$_2$, we use the
Eliashberg equations to compute possible allowed values of the isotope
coefficient, $\beta$. We find that while the observed value $\beta= 0.32$ can
be obtained in principle, it is difficult to reconcile a recently calculated
spectral function with such a low observed value.

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