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Implications of the electron-phonon coupling in CuPb9(PO4)6O for high-temperature superconductivity: an ab initio study
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Implications of the electron-phonon coupling in CuPb9(PO4)6O for high-temperature superconductivity: an ab initio study

Hari Paudyal, Michael E Flatté and Durga Paudyal
ArXiv.org
Cornell University
08/28/2023
DOI: 10.48550/arxiv.2308.14294
url
https://doi.org/10.48550/arxiv.2308.14294View
Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We report $ab~initio$ calculations of the electronic and vibrational properties in CuPb$_9$(PO$_4$)$_6$O, including the electron-phonon coupling strength via strong-coupling Migdal-Eliashberg theory. We verify the presence of appealing flat electronic bands near the Fermi level, a strong hybridization between the Cu $3d$ and O $2p$ states, and soft low-energy phonons, which can suggest high-temperature superconducting behavior. However, the electron-phonon coupling strength appears insufficient to overcome the Coulomb repulsion between an electron pair and thus does does not support high-temperature superconductivity in CuPb$_9$(PO$_4$)$_6$O via the conventional electron-phonon Migdal-Eliashberg mechanism. Even neglecting Coulomb repulsion of the electron pair we find this electron-phonon coupling suggests a superconducting transition temperature less than 2~K.
Physics - Superconductivity

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