We investigate resistive anomalies in metals near a ferromagnetic phase transition, emphasizing the role of long-range critical fluctuations. Our analysis shows that electron diffusion near the critical temperature $T_c$ enhances the singular behavior of resistivity via a classical memory effect, exceeding the prediction of Fisher and Langer [Phys. Rev. Lett. 20, 665 (1968)]. Close to $T_c$, the resistivity develops a cusp or anticusp controlled by the critical exponent of the order parameter. We also express a concomitant non-Drude behavior of the optical conductivity in terms of critical exponents. These results provide deeper insight into the origin of resistive anomalies and their connection to criticality in metallic systems.

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• Classical spin models
• Disordered systems
• Ferromagnets
• Rare-earth magnetic materials
• Diagrammatic methods
• Green's function methods
• Many-body techniques