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By combining group-theoretical symmetry analysis, low-energy model calculations, and ab-initio simulations, we predict the presence of a pair of magnetic-field induced Weyl nodes close to the Fermi level in the iron-based superconductor CaKFe₄As₄. Contrary to other topological phenomena proposed in iron-based superconductors, this one originates entirely from the 3d Fe states. As opposed to conventional Weyl fermions, the Weyl states realized in this material carry a topological charge of ±2, making CaKFe₄As₄ a candiate for a double-Weyl semimetal, when appropriately tuned or doped. The higher-order topological charge is stabilized by the fourfold rotational symmetry of the M-A line, which leads to a quadratic dispersion of the Weyl nodes in the k_x-k_y plane. We identify the corresponding surface states by comparing the material’s bulk and surface spectra, finding two Fermi arcs that connect the projections of the Weyl nodes.
Our results expand the so-far only reluctantly-growing list of Weyl semimetal candidates, which are crucial for applications in next-generation devices.