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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Ferromagnetic phase transitions in metals are accompanied by anomalies in physical properties.
  • Understanding critical fluctuations near the Curie temperature (Tc) is crucial for explaining these anomalies.
  • Previous models, like Fisher and Langer, provide a baseline for resistivity behavior.

Purpose of the Study:

  • To investigate resistive anomalies in metals proximate to a ferromagnetic phase transition.
  • To elucidate the role of long-range critical fluctuations and electron diffusion in these anomalies.
  • To analyze the non-Drude behavior of optical conductivity in relation to critical exponents.

Main Methods:

  • Theoretical analysis of electron diffusion near the critical temperature (Tc).
  • Investigation of classical memory effects influencing resistivity.
  • Expression of optical conductivity in terms of critical exponents.

Main Results:

  • Electron diffusion near Tc significantly enhances resistivity anomalies via a classical memory effect.
  • The observed resistivity behavior surpasses predictions from Fisher and Langer.
  • Resistivity exhibits cusp or anticusp behavior near Tc, governed by the order parameter's critical exponent.
  • Non-Drude optical conductivity is successfully described using critical exponents.

Conclusions:

  • Critical fluctuations and electron diffusion are key drivers of resistive anomalies near ferromagnetic transitions.
  • The classical memory effect plays a significant role, leading to deviations from established theories.
  • This work deepens the understanding of metallic system criticality and associated transport phenomena.