Superconductivity of Bi-III phase of elemental Bismuth: insights from Muon-Spin Rotation and Density Functional Theory

Abstract

Using muon-spin rotation the pressure-induced superconductivity in the Bi-III phase of elemental Bismuth (transition temperature $T_{\mathrm{c}}\simeq 7.05$ K) was investigated. The Ginzburg-Landau parameter $\kappa =\lambda /\xi =30(6)$ ($\lambda$ is the magnetic penetration depth, $\xi$ is the coherence length) was estimated which is the highest among single element superconductors. The temperature dependence of the superconducting energy gap [$\Delta (T)$] reconstructed from ${\lambda }^{-2}(T)$ deviates from the weak-coupled BCS prediction. The coupling strength $2\Delta /k_{\mathrm{B}}{T}_{\mathrm{c}}\simeq 4.34$ was estimated thus implying that Bi-III stays within the strong coupling regime. The Density Functional Theory calculations suggest that superconductivity in Bi-III could be described within the Eliashberg approach with the characteristic phonon frequency ${\omega }_{\ln }\simeq 5.5$ meV. An alternative pairing mechanism to the electron-phonon coupling involves the possibility of Cooper pairing induced by the Fermi surface nesting.

arXiv comment5 pages, 4 figures

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• Effects of Ca substitution on quasi-acoustic sliding modes in Sr${}_{14-x}$Ca${}_x$Cu${}_{24}$O${}_{41}$