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Employing a combination of symmetry analysis, low-energy modeling, and abinitio simulations, we predict the presence of magnetic-field-induced Weylpoints close to the Fermi level in CaKFe$_4$As$_4$. Depending on the relativestrengths of the magnetic field and of the spin-orbit coupling, the Weylfermions can carry a topological charge of $\pm1$ or $\pm2$, makingCaKFe$_4$As$_4$ a rare realization of a double-Weyl semimetal. We furtherpredict experimental manifestations of these Weyl points, both in bulkproperties, such as the anomalous Hall effect, and in surface properties, suchas the emergence of prominent Fermi arcs. Because CaKFe$_4$As$_4$ displaysunconventional fully-gapped superconductivity below 30 K, our findings open anovel route to investigate the interplay between superconductivity and Weylfermions.

Prediction of Double-Weyl Points in the Iron-Based Superconductor CaKFe$_4$As$_4$