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  • Letter
  • Open Access

Unconventional superconductivity mediated solely by isotropic electron-phonon interaction

Fabian Schrodi*, Peter M. Oppeneer†, and Alex Aperis‡

  • Department of Physics and Astronomy, Uppsala University, P.O. Box 516, SE-75120 Uppsala, Sweden

  • *fabian.schrodi@physics.uu.se
  • †peter.oppeneer@physics.uu.se
  • ‡alex.aperis@physics.uu.se

Phys. Rev. B 104, L140506 – Published 28 October, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.L140506

Abstract

Unconventional superconductivity is commonly linked to electronic pairing mechanisms, since it is believed that the conventional electron-phonon interaction (EPI) cannot cause sign-changing superconducting gap symmetries. Here, we show that this common understanding needs to be revised when one considers a more elaborate theory of electron-phonon superconductivity beyond standard approximations. We self-consistently solve the full-bandwidth, anisotropic Eliashberg equations including vertex corrections beyond Migdal's approximation assuming the usual isotropic EPI for cuprate, Fe-based, and heavy-fermion superconductors with nested Fermi surfaces. In the case of the high-Tc cuprates we find a d-wave order parameter, as well as a nematic state upon increased doping. For Fe-based superconductors, we obtain s± gap symmetry, while for heavy-fermion CeCoIn5 we find unconventional d-wave pairing. These results provide a proof of concept that EPI cannot be excluded as a mediator of unconventional and of high-Tc superconductivity.

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