Fig. 1: Crystal and magnetic properties of Co₃Sn_2-xIn_xS₂.

a Crystal structure of Co₃Sn₂S₂ from a three-dimensional view. b Top view with the in-plane symmetry-allowed spin configurations \(\psi _1\)and \(\psi _2\). c–d Brillouin zone boundaries and high-symmetry points in a c three-dimensional and d two-dimensional view. e Out-of-plane and f in-plane magnetization as a function of doping in zero and low field. (g) Indium doping dependence of the anomalous Hall conductivity based on¹⁹. h Temperature-doping phase diagram. Dots indicate temperature and doping of neutron experiments. i–j In-plane and out-of-plane components of the refined magnetic structures at x = i 0.0 and j 0.12 and 0.3.