We investigate resistive anomalies in metals near ferromagnetic phase transitions, focusing on the role of long-range critical fluctuations. Our analysis reveals that diffusive motion of electrons near the critical temperature (Tc) enhances a singular behavior of the resistivity near Tc through a classical memory effect, surpassing the prediction by Fisher and Langer \cite{Fisher:1968}. We show that, close enough to Tc, the resistivity exhibits a cusp or anticusp, whose profile is controlled by the critical exponent of the order parameter. We also parameterize the non-Drude behavior of the optical conductivity due to a classical memory effect in terms of critical exponents. These findings offer a deeper understanding of resistive anomalies and their connection to critical exponents in metallic systems.
@article{arxiv.2503.04017,
title = {Resistive Anomaly near a Ferromagnetic Phase Transition: A Classical Memory Effect},
author = {Dmitrii L. Maslov and Vladimir I. Yudson and Cristian D. Batista},
journal= {arXiv preprint arXiv:2503.04017},
year = {2025}
}