Extended Data Fig. 5: Quantitative assessment of the effects of magnetic interactions in CoSi.

Changes of the magnetization owing to de Haas–van Alphen oscillations may generate variations of the internal field that result in oscillatory signal components observed in the physical properties. This feedback is known as magnetic interaction. Shown is the derivative of the oscillatory part of the measured magnetization in SI units as a function of applied magnetic field. For contributions on the order \({\rm{d}}\mathop{M}\limits^{ \sim }\,/\,{\rm{d}}H\approx 1\), oscillatory signal contributions owing to magnetic interactions are commonly expected²¹. The de Haas–van Alphen contribution observed experimentally is well below this limit. Numerical simulations of the effect of magnetic interactions expected in our study establish that the amplitudes of the de Haas–van Alphen oscillations at f_α and f_β are several orders of magnitude below the value required to account for the oscillatory signal components at the difference of the frequencies we observed experimentally.