Fig. 1

Room-temperature anomalous transverse response. a Experimental configuration for measuring Hall effect in sample #5 with square cross-section. Charge current is applied along the z-axis and the magnetic field along the y-axis. Two pairs of electrodes measure Ex and Ey. b Anomalous Hall resistivity (\(\rho _{xz}^{{\mathrm{AHE}}}\)), extracted from Ex. c Planar Hall resistivity (\(\rho _{yz}^{{\mathrm{PHE}}}\)), extracted from Ey. d Topological Hall resistivity (\(\rho _{xz}^{{\mathrm{THE}}}\)), extracted by subtracting magnetization and Hall hysteresis loops, see Supplementary Note 4. e Experimental configuration for measuring Nernst effect in sample #15 with rectangular cross-section. The temperature gradient is applied along the z-axis, the magnetic field is applied either along x-axis or y-axis. The electric field is always measured along the x-axis. f Anomalous Nernst effect (\(S_{xz}^{{\mathrm{ANE}}}\)) with the magnetic field along the y-axis, extracted from Ex. g Planar Nernst effect (\(S_{xz}^{{\mathrm{PNE}}}\)) measured with the magnetic field along x-axis, extracted from Ex. h Topological Nernst effect (\(S_{xz}^{{\mathrm{TNE}}}\)) extracted by subtracting magnetization and Nernst hysteresis loops, see Supplementary Note 4. The larger width of the hysteresis loop in the Nernst measurements is due to the larger aspect ratio of the sample (See Fig. 2b)