Strong Anharmonic and Quantum Effects in Pm-3n AlH3 Under High Pressure: A First-Principles Study
Pugeng Hou, Francesco Belli, Raffaello Bianco, Ion Errea

TL;DR
This study uses advanced first-principles methods to show that anharmonic effects significantly suppress the predicted superconductivity in Pm-3n AlH3 under high pressure, aligning predictions with experimental results.
Contribution
It demonstrates the importance of anharmonicity in accurately predicting superconducting properties of metal hydrides, using a self-consistent harmonic approximation approach.
Findings
Anharmonic corrections strongly modify phonon spectra.
Superconducting Tc is suppressed below 4.2 K at high pressures.
Anharmonic effects are crucial in hydrogen-rich interstitial compounds.
Abstract
Motivated by the absence of experimental superconductivity in the metallic Pm-3n phase of AlH3 despite the predictions, we reanalyze its vibrational and superconducting properties at pressures above 99 GPa making use of first-principles techniques. In our calculations based on the self-consistent harmonic approximation method that treats anharmonicity beyond perturbation theory, we predict a strong anharmonic correction to the phonon spectra and demonstrate that the superconducting critical temperatures predicted in previous calculations based on the harmonic approximation are strongly suppressed by anharmonicity. The electron-phonon coupling concentrates on the lowest-energy hydrogen-character optical modes at the X point of the Brillouin zone. As a consequence of the strong anharmonic enhancement of their frequency, the electron-phonon coupling is suppressed by at least a 30%. The…
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