Dynamics of local magnetic moments induced by itinerant Weyl electrons

• DOI: 10.1103/physrevb.103.155151
• Publication Date: 2021-04-27T15:03:03Z
• Authors: Predrag Nikolić
• Keywords: Weyl semimetal; Magnetism; Skyrmion

We derive the effective interactions between local magnetic moments which are mediated by Weyl electrons in topological semimetals. The resulting spin dynamics is governed induced Heisenberg, Kitaev, and Dzyaloshinskii-Moriya (DM) with extended range oscillatory dependence on distance spins. These realized multiple competing channels shaped multitude of nodes electron spectrum. Microscopic spins need to be spatially modulated a channel-dependent wave vector order take advantage interactions. DM parallel displacement two interacting spins, requires presence Fermi surfaces. also Weyl-induced chiral three-spin interaction an external field. This has as well, acts upon various channels. Its tendency produce skyrmion lattice or liquid exhibits Hall effect. Ultimately, theory developed here addresses relativistic metals even when magnetism microscopically precluded. discuss insights into ordered state semimetal NdAlSi.