Dynamical renormalization of electron-phonon coupling in conventional superconductors

Abstract

The adiabatic Born-Oppenheimer approximation is considered to be a robust approach that very rarely breaks down. Consequently, it is predominantly utilized to address various electron-phonon properties in condensed matter physics. By combining many-body perturbation and density functional theories we demonstrate the importance of dynamical (nonadiabatic) effects in estimating superconducting properties in various bulk and two-dimensional materials. Apart from the expected long-wavelength nonadiabatic effects, we found sizable nonadiabatic Kohn anomalies away from the Brillouin zone center for materials with strong intervalley electron-phonon scatterings. Compared to the adiabatic result, these dynamical phonon anomalies can significantly modify electron-phonon coupling strength $\lambda$ and superconducting transition temperature $T_c$. Further, the dynamically-induced modifications of $\lambda$ have a strong impact on transport properties, where probably the most interesting is the rescaling of the low-temperature and low-frequency regime of the scattering time $1/\tau$ from about $T^3$ to about $T^2$, resembling the Fermi liquid result for electron-electron scattering. Our goal is to point out the potential implications of these nonadiabatic effects and reestablish their pivotal role in computational estimations of electron-phonon properties.

11 pages, 5 figures

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Cited by in corpus (8)

• Phonon Self-Energy Corrections: To Screen, or Not to Screen
• Cavity engineering of solid-state materials without external driving
• Anharmonic theory of superconductivity and its applications to emerging quantum materials
• Screening Induced Crossover between Phonon- and Plasmon-Mediated Pairing in Layered Superconductors
• Superconductivity in 2D systems enhanced by nonadiabatic phonon-production effects
• Electron-mediated anharmonicity and its role in the Raman spectrum of graphene
• A semiclassical nonequilibrium Green's Function approach to electron transport in systems exhibiting electron-phonon couplings
• Importance of Non-Adiabatic Effects on Kohn Anomalies in 1D metals