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

Abstract

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.

References in corpus (3)

• Boron Isotope Effect in Superconducting MgB${}_2$
• Superconductivity of MgB2: Covalent Bonds Driven Metallic
• Electron-phonon interaction in the normal and superconducting states of MgB2

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• Implications of reflectance measurements on the mechanism for superconductivity in MgB${}_2$
• Optical sum increase due to electron undressing
• Pressure Effects and Large Polarons in Layered MgB_2 Superconductor