Fig. 3: Magnetic, electrical, and magneto-thermoelectric properties of Fe_xSn_1–x amorphous films.

μ₀H dependences of a magnetization M, b Hall resistivity ρ_yx, and c Nernst coefficient S_xy measured at T = 300 K for the Fe_0.74Sn_0.26 amo-film on glass. The insets show the schematic measurement configurations in an out-of-plane μ₀H (V: voltage, I: current). The blue and red curves correspond to the field-decreasing and -increasing scans. For the magneto-thermoelectric measurement, a temperature gradient of \({\left(\nabla T\right)}_{x}=\) 1.31 K mm⁻¹. x dependences of d tangent of Hall angle σ_AHE/σ_xx, e anomalous Nernst conductivity α_xy, and f the anomalous component of Nernst coefficient S_ANE for the Fe_xSn_1–x amo-films (shown by the closed red circles) and the Fe_0.75Sn_0.25 poly-film (the closed blue circles). These data are obtained by averaging the measured electrical conductivity σ_xx, Hall conductivity σ_xy for anomalous Hall conductivity σ_AHE, Seebeck coefficient S_xx, and S_xy for S_ANE between μ₀H = 2.5–3.0 T in the saturated state. The error bars for these data, the standard deviations associated with the averaging, are smaller than the symbol size. For comparison, the data of the Fe₃Sn₂ cryst-bulks^18,22 (by the open blue diamond and triangle) and cryst-film²³ (the closed blue triangles), Fe₃Sn cryst-bulk¹⁹ (the open blue squares) and Fe₃Sn-containing poly-film (the closed blue circles), and Fe cryst-bulk²⁴ (the open black squares) and cryst-films²⁵ (the closed black triangles) are included. g α_xy versus σ_AHE plot. The dashed lines from left to right represent the ratio of k_B/e, k_B/5e, and k_B/10e, respectively (k_B is the Boltzmann constant and e is the elementary charge). See Supplementary Fig. 2b for the detailed plot, including various topological ferromagnet crystals.