Anharmonic theory of superconductivity in the high-pressure materials
EntityUAM. Departamento de Física Teórica
PublisherAmerican Physical Society
10.1103/PhysRevB.103.094519Physical Review B 103.9 (2021): 094519
ISSN1098-0121 (print); 1550-235X (online)
ProjectGobierno de España. SEV-2012-0249
SubjectsAnharmonicities; Applied Pressure; Effect of Pressure; Function of Pressure; Optical Phonon Energies; Optical Phonons; Room-Temperature Superconductors; Física
Rights© 2021 American Physical Society
Electron-phonon superconductors at high pressures have displayed the highest values of critical superconducting temperature Tc on record, now rapidly approaching room temperature. Despite the importance of high-P superconductivity in the quest for room-temperature superconductors, a mechanistic understanding of the effect of pressure and its complex interplay with phonon anharmonicity and superconductivity is missing, as numerical simulations can bring only system-specific details, clouding out key players controlling the physics. Here we develop a minimal model of electron-phonon superconductivity under an applied pressure which takes into account the anharmonic decoherence of the optical phonons. We find that Tc behaves nonmonotonically as a function of the ratio Γ/ω0, where Γ is the optical phonon damping and ω0 is the optical phonon energy at zero pressure and momentum. Optimal pairing occurs for a critical ratio Γ/ω0 when the phonons are on the verge of decoherence ("diffusonlike"limit). Our framework gives insights into recent experimental observations of Tc as a function of pressure in the complex BCS material TlInTe2
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