Fig. 1. Magnetic transition and low temperature behavior of Co${}_3$Sn${}_2$S${}_2$  single crystal sample.

a, b Longitudinal ($R_{\mathrm{xx}}$) (a) and transverse ($R_{\mathrm{xy}}$) (b) resistance as a function of temperature shows a magnetic phase transition at 175 K as evident by the change in slope (marked with black arrow). c Exchange biased AHE. Hall resistance as a function of magnetic field at a temperature of 2 K. The field is swept from between $+1$ T and $-1$ T and the sweep is repeated 5 times, resulting in a different $H_{C-}$ ($H_{C+}$) for cooling down in positive (negative) magnetic fields. The coercive fields on the opposite side are the same and therefore fall on top of each other in the plot. d Exchange biased magnetization at 2 K, showing similar EB effect to the one in transport. The initial field sweep seems to be of lower $H_C$ due to the slower field sweep rate in this measurement (see SI). Curves in c, d are shifted vertically for clarity and an easier comparison.