Extended Data Fig. 4: Crossover in dominant scattering and nonreciprocal scattering mechanisms.

a-e The upper panels show the first harmonic resistance \({R}_{{xx}}^{1\omega }\) measured as a function of magnetic field, for the left-handed (LH) helix with pitch length L = 1.0 μm, at a range of temperatures and an AC current of 40 μA. The lower panels show the second harmonic resistance \({R}_{{xx}}^{2\omega }\) measured under the same conditions. The result of the self-field estimation is plotted in grey, and has been multiplied by a factor of 30 for comparison. In both cases, there is a crossover behavior as a function of temperature: the scattering and nonreciprocity at low temperature is dominated by the positive, ordinary magnetoresistance, typical of high mobility systems; while at high temperature the temperature-fluctuation spin/magnon scattering, negative magnetoresistance is the main contribution.