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

TL;DR

This paper predicts the existence of magnetic-field-induced double-Weyl points near the Fermi level in the superconductor CaKFe$_4$As$_4$, suggesting new avenues to explore the interaction between Weyl fermions and superconductivity.

Contribution

It introduces a combined symmetry, modeling, and ab initio approach to identify double-Weyl points in CaKFe$_4$As$_4$, a novel superconductor with topological features.

Findings

Presence of Weyl points near the Fermi level induced by magnetic fields.

CaKFe$_4$As$_4$ can host Weyl fermions with topological charge ±1 or ±2.

Predicted experimental signatures include anomalous Hall effect and Fermi arcs.

Abstract

Employing a combination of symmetry analysis, low-energy modeling, and ab initio simulations, we predict the presence of magnetic-field-induced Weyl points close to the Fermi level in CaKFe$_4$As$_4$. Depending on the relative strengths of the magnetic field and of the spin-orbit coupling, the Weyl fermions can carry a topological charge of $\pm1$ or $\pm2$, making CaKFe$_4$As$_4$ a rare realization of a double-Weyl semimetal. We further predict experimental manifestations of these Weyl points, both in bulk properties, such as the anomalous Hall effect, and in surface properties, such as the emergence of prominent Fermi arcs. Because CaKFe$_4$As$_4$ displays unconventional fully-gapped superconductivity below 30 K, our findings open a novel route to investigate the interplay between superconductivity and Weyl fermions.