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Superconductivity in black phosphorus and the role of dynamical screening

Viktor Christiansson, Francesco Petocchi, and Philipp Werner
Phys. Rev. B 105, 174513 – Published 19 May 2022

Abstract

Simple cubic phosphorus exhibits superconductivity with a maximum Tc of up to 12 K under pressure. The pressure dependence of Tc cannot be consistently explained with a simple electron-phonon mechanism, which has stimulated investigations into the role of electronic correlations and plasmonic contributions. Here we solve the gap equation of density functional theory for superconductors using different electron-electron and electron-phonon contributions to the kernel. We find that the phonon contribution alone yields an overestimation of Tc, while the addition of the static electronic contribution results in an underestimation. Taking into account the full frequency dependence of the screened interaction, the one-shot GW approximation predicts Tc values in good agreement with the experiments in the pressure range appropriate for the cubic phase. We also explore the use of quasiparticle bands in the calculation of the electronic and phononic kernels, and show that this modification significantly improves Tc in the high-pressure region.

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  • Received 27 January 2022
  • Revised 3 May 2022
  • Accepted 5 May 2022

DOI:https://doi.org/10.1103/PhysRevB.105.174513

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Viktor Christiansson, Francesco Petocchi, and Philipp Werner

  • Department of Physics, University of Fribourg, 1700 Fribourg, Switzerland

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Issue

Vol. 105, Iss. 17 — 1 May 2022

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