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The recently discovered nickelate superconductors represent one of the raising hot topic in the research area of strongly-correlated superconductors. A recent experiment [X. Ding et al., Nature 615, 50 (2023)] indicates that superconductivity in nickelates is restricted to a narrow window of hydrogen concentration: 0.22 < x < 0.28 in Nd0.8Sr0.2NiO2Hx. This reported necessity of hydrogen suggests that it may play a crucial role for superconductivity, as it does in the vast field of hydride superconductors, by boosting the electron-phonon coupling and hence a source of conventional superconducting pairing. Using density-functional theory and its extensions, we explore the effect of topotactic hydrogen on the electronic structure and phonon-mediated superconductivity in nickelate superconductors. Our calculations show that the electron-phonon coupling in hydrogen-intercalated nickelates is not strong enough to drive the electron pairing, and thus cannot explain the reported superconductivity.
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