Abstract

Weyl fermions that emerge at band crossings in momentum space caused by the spin–orbit interaction act as magnetic monopoles of the Berry curvature and contribute to a variety of novel transport phenomena such as anomalous Hall effect and magnetoresistance. However, their roles in other physical properties remain mostly unexplored. Here, we provide evidence by neutron Brillouin scattering that the spin dynamics of the metallic ferromagnet SrRuO3 in the very low energy range of milli-electron volts is closely relevant to Weyl fermions near Fermi energy. Although the observed spin wave dispersion is well described by the quadratic momentum dependence, the temperature dependence of the spin wave gap shows a nonmonotonous behaviour, which can be related to that of the anomalous Hall conductivity. This shows that the spin dynamics directly reflects the crucial role of Weyl fermions in the metallic ferromagnet.

Highlights

  • Weyl fermions that emerge at band crossings in momentum space caused by the spin–orbit interaction act as magnetic monopoles of the Berry curvature and contribute to a variety of novel transport phenomena such as anomalous Hall effect and magnetoresistance

  • We report the fingerprint of Weyl fermions and magnetic monopoles in the spin dynamics of SrRuO3

  • We show that Weyl fermions play a crucial role in the spin dynamics by measuring the temperature dependence of spin waves in SrRuO3

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Summary

Results

Spin waves observed by neutron Brillouin scattering (NBS). We have measured small momentum magnetic excitations in a polycrystalline sample of SrRuO3 by NBS experiments, namely inelastic neutron scattering (INS) experiments near the forward direction. (c) Distribution of the emergent magnetic field b(k) near a Weyl point. The magnetic form factor of spin component can be approximated to be F(Q) 1⁄4 1 in the present small Q range. The peak intensities AS(Q) in Fig. 3h increase as Q gets reduced, which suggests that the magnetic excitations contain another component, that is, orbital moment, other than spin. The finite value of Eg indicates an internal magnetic field acting on the system

Discussion
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