Unconventional Scaling of the Anomalous Hall Effect Accompanying Electron Localization Correction in the Dirty Regime

Abstract

Scaling of the anomalous Hall conductivity to longitudinal conductivity, has been observed in the dirty regime of two-dimensional weak and strong localization regions in ultrathin, polycrystalline, chemically disordered, ferromagnetic FePt films. The relationship between electron transport and temperature reveals a quantitatively insignificant Coulomb interaction in these films while the temperature dependent anomalous Hall conductivity experiences quantum correction from electron localization. At the onset of this correction, the low-temperature anomalous Hall resistivity begins to be saturated when the thickness of the FePt film is reduced, and the corresponding Hall conductivity scaling exponent becomes 2, which is above the recent unified theory of 1.6 (σ_AH \propto σ^1.6_xx). Our results strongly suggest that the correction of the electron localization modulates the scaling exponent of the anomalous Hall effect.

References in corpus (10)

• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
• Universal Scaling Behavior of Anomalous Hall Effect and Anomalous Nernst Effect in Itinerant Ferromagnets
• Proper Scaling of the Anomalous Hall Effect
• Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
• Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
• Weak localization correction to the anomalous Hall effect in polycrystalline Fe films
• Anomalous Hall Effect in Magnetite: Universal Scaling Relation Between Hall and Longitudinal Conductivity in Low-Conductivity Ferromagnets
• Disorder and temperature dependence of the Anomalous Hall Effect in thin ferromagnetic films: Microscopic model
• Saturation of the Anomalous Hall Effect in Critically Disordered Ultra-thin CNi3 Films

Cited by in corpus (14)

• Thickness dependence of the anomalous Nernst effect and the Mott relation of Weyl-semimetal Co2MnGa thin films
• Anomalous Hall Effect in Chemically Disordered L10-Mn1.5Ga
• Anomalous Hall Effect in Layered Ferrimagnet MnSb2Te4
• Longitudinal and anomalous Hall conductivity of a general two-band model
• Unconventional temperature dependence of the anomalous Hall effect in HgCr2Se4
• Anomalous Hall effect in L10-MnAl films with controllable orbital two-channel Kondo effect
• Absence of the Ordinary and Extraordinary Hall effects scaling in granular ferromagnets at metal-insulator transition
• Temperature Dependence of the Anomalous Hall Effect from Electron Interactions
• Anomalous Nernst effect in Mn${}_3$NiN thin films
• Diffuson contribution to anomalous Hall effect in disordered Co2FeSi thin films
• Does carrier localization affect the anomalous Hall effect?
• Electrical Transport of perpendicularly magnetized L10-MnGa and MnAl films
• Electrical Conductivity in Quantum Materials
• Large unconventional anomalous Hall effect far above room temperature in epitaxial Fe${}_3$Ga${}_4$ films