Comment on “Reconsidering nonlinear emergent inductance: Time-varying Joule heating and its impact on AC electrical response”

When noncollinear spin textures are driven by current, an emergent electric field arises due to the emergent electromagnetic induction. So far, this phenomenon has been reported in several materials, manifesting the current-nonlinear imaginary part of the complex impedance. Recently, Furuta et al. proposed a time-varying temperature increase due to Joule heating as an alternative explanation for these current-nonlinear complex impedances [Furuta et al., Phys. Rev. B 110, 174402 (2024)]. In this Comment, we demonstrate that the experimentally observed nonlinear complex impedances in helimagnets cannot be explained by the time-varying temperature increase. Instead, these dependencies of the imaginary part of the nonlinear impedance are consistent with the expected behavior in the theory of emergent electromagnetic induction.