Fig. 3: Second harmonic transport in TbMn6Sn6.
A The magnetic field dependent components of second harmonic Hall effect (\({\Delta V}_{{xy}}^{2\omega }\)) in Sample 1 and Sample 2 are summarized in 4D color map, in which the temperature (T) -, magnetic field (B) -, alternating current (a.c.) density- axes, as well as the color code are all in the same scale for both samples at all temperatures. The purple arrows indicate the field induced spin reorientation transition. The schematic in Panel A, indicating the spontaneous spin orientation transition, shows the nominal spin configurations at 320, 310 and 290 K (top - down), in which the red and blue arrows indicate Tb and Mn moments, respectively. Note that, large external fields will induce the reorientation transitions, and force the moments mostly to align along the applied fields. B The second harmonic Hall voltage related to the chiral magnetic structure. C The electric magnetochiral anisotropy coefficients from some popular quantum materials11,45,54,55,56,57,58,59,60 are summarized at different temperatures, in which the room-temperature maximum value observed in TbMn6Sn6 is highlighted. Note that, the non-tuneable compounds are plotted in grey circles, and the materials that show tuneable nonlinear transport behavior are plotted using different colors (same with the colored labels).
