Temperature and quantum anharmonic lattice effects on stability and superconductivity in lutetium trihydride.

Lucrezi, Roman; Ferreira, Pedro P; Aichhorn, Markus; Heil, Christoph · Nat Commun · 2024

basic_science · Level V

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Abstract

In this work, we resolve conflicting experimental and theoretical findings related to the dynamical stability and superconducting properties of [Formula: see text]-LuH<sub>3</sub>, which was recently suggested as the parent phase harboring room-temperature superconductivity at near-ambient pressures. Including temperature and quantum anharmonic lattice effects in our calculations, we demonstrate that the theoretically predicted structural instability of the [Formula: see text] phase near ambient pressures is suppressed for temperatures above 200 K. We provide a p-T phase diagram for stability up to pressures of 6 GPa, where the required temperature for stability is reduced to T > 80 K. We also determine the superconducting critical temperature T<sub>c</sub> of [Formula: see text]-LuH<sub>3</sub> within the Migdal-Eliashberg formalism, using temperature- and quantum-anharmonically-corrected phonon dispersions, finding that the expected T<sub>c</sub> for electron-phonon mediated superconductivity is in the range of 50-60 K, i.e., well below the temperatures required to stabilize the lattice. When considering moderate doping based on rigidly shifting the Fermi level, T<sub>c</sub> decreases for both hole and electron doping. Our results thus provide evidence that any observed room-temperature superconductivity in pure or doped [Formula: see text]-LuH<sub>3</sub>, if confirmed, cannot be explained by a conventional electron-phonon mediated pairing mechanism.