Resistive Anomaly near a Ferromagnetic Phase Transition: A Classical Memory Effect

2025/03/06 by Maslov, Dmitrii L., Yudson, Vladimir I., Batista, Cristian D.
#FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2503.04017

Abstract

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 (T_c) enhances a singular behavior of the resistivity near T_c through a classical memory effect, surpassing the prediction by Fisher and Langer \citeFisher:1968. We show that, close enough to T_c, 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.

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