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Anharmonic effects in atomic hydrogen: Superconductivity and lattice dynamical stability

Miguel Borinaga, Ion Errea, Matteo Calandra, Francesco Mauri, Aitor Bergara

DOI 10.1103/PhysRevB.93.174308 · Physical Review B

T1

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Abstract

We present first-principles calculations of metallic atomic hydrogen in the 400–600 GPa pressure range in a tetragonal structure with space group I41/amd, which is predicted to be its first atomic phase. Our calculations show a band structure close to the free-electron-like limit due to the high electronic kinetic energy induced by pressure. Bands are properly described even in the independent electron approximation fully neglecting the electron-electron interaction. Linear-response harmonic calculations show a dynamically stable phonon spectrum with marked Kohn anomalies. Even if the electron-electron interaction has a minor role in the electronic bands, the inclusion of electronic exchange and correlation in the density response is essential to obtain a dynamically stable structure. Anharmonic effects, which are calculated within the stochastic self-consistent harmonic approximation, harden high-energy optical modes and soften transverse acoustic modes up to a 20% in energy. Despite a large impact of anharmonicity has been predicted in several high-pressure hydrides, here the superconducting critical temperature is barely affected by anharmonicity, as it is lowered from its harmonic 318 K value only to 300 K at 500 GPa. We attribute the small impact of anharmonicity on superconductivity to the absence of softened optical modes and the fairly uniform distribution of the electron-phonon coupling among the vibrational modes.

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FormulaReported Tc (K)Pressure (GPa)Type
H3S

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203Pressure not reportedunknown

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