Eliashberg theory for spin-fluctuations mediated superconductivity -- Application to bulk and monolayer FeSe

Abstract

We present a novel method for embedding spin and charge fluctuations in an anisotropic, multi-band and full-bandwidth Eliashberg treatment of superconductivity. Our analytical framework, based on the random phase approximation, allows for a selfconsistent calculation of material specific characteristics in the interacting, and more specifically, the superconducting state. We apply this approach to bulk FeSe as representative for the iron-based superconductors and successfully solve for the superconducting transition temperature $T_c$, the gap symmetry and the gap magnitude. We obtain $T_c\approx 6$ K, consistent with experiment ($T_c\approx 8$ K), as well as other quantities in good agreement with experimental observations, thus supporting spin fluctuations mediated pairing in bulk FeSe. On the contrary, applying our approach to monolayer FeSe on SrTiO${}_3$ we find that spin fluctuations within the full Eliashberg framework give a $d$-wave gap with $T_c\le 11$ K and therefore cannot provide an explanation for a critical temperature as high as observed experimentally ($T_c\approx 70$ K). Our results hence point towards interfacial electron-phonon coupling as the dominant Cooper pairing mediator in this system.

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• Influence of phonon renormalization in Eliashberg theory for superconductivity in 2D and 3D systems
• Enhanced superconductivity in FeSe/SrTiO${}_3$ from the combination of forward scattering phonons and spin fluctuations
• Induced odd-frequency superconducting state in vertex-corrected Eliashberg theory
• Prediction of an unusual trigonal phase of superconducting LaH${}_{10}$ stable from 250 to 425 GPa pressure
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• Strain-induced superconductivity in Sr2IrO4
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• The phonon mechanism explanation of the superconductivity dichotomy between FeSe and FeS monolayers on STO and other substrates
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