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arXiv · 2607.15996

Drosophila of phonon-mediated superconductivity: Full Eliashberg theory of the jellium model

Christophe Berthod·Louk Rademaker·Dirk van der Marel
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Abstract

We present a full numerical solution of the Migdal--Eliashberg equations for the jellium model of phonon-mediated superconductivity. We find very low critical temperatures below 1~K, in contrast to earlier claims that the jellium model for hydrogen solids might reach room-temperature superconductivity. Our results suggest that full momentum and frequency dependence of the gap function and normal self-energy should be taken into account for accurate $T_c$ estimates.

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Christophe Berthod, Louk Rademaker, Dirk van der Marel. 2026-07-17. Drosophila of phonon-mediated superconductivity: Full Eliashberg theory of the jellium model. https://arxiv.org/abs/2607.15996

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