Reply to "Comment on "Reconsidering the nonlinear emergent inductance: time-varying Joule heating and its impact on the AC electrical response"" by Yokouch et al

TL;DR

This paper defends the Joule heating model as the correct explanation for observed nonlinear impedance behaviors, countering Yokouchi et al.'s claims that suggest emergent induction as the cause.

Contribution

The authors clarify that the nonlinear impedance characteristics are better explained by Joule heating rather than emergent induction, addressing critiques and providing quantitative explanations.

Findings

Joule heating model explains the nonlinear impedance behavior.

Yokouchi et al.'s data are consistent with Joule heating.

Emergent induction is not relevant to the observed impedance.

Abstract

This is a response to the comments [arXiv:2407.15682 and Phys.Rev.B 111, 146401 (2025)] by Yokouchi et al. on our paper in Phys.Rev.B 110, 174402 (2024). In this Reply, we note that (i) their arguments lack a discussion of whether the overall characteristics of the observed nonlinear impedance, including its magnitude and unphysical negative inductance interpretation, can be explained by the emergent induction scenario, whereas the Joule heating model can, (ii) they incorrectly refer to the Joule heating model, and (iii) their new data in the Comment are also quantitatively explained by the Joule heating model. These findings suggest that, contrary to the opinion by Yokouchi et al., the overall behavior of the observed impedance is irrelevant to emergent induction.