Disorder Driven Crossover Between Anomalous Hall Regimes in Fe₃GaTe₂

The large anomalous Hall conductivity (AHC) of the Fe₃(Ge,Ga)Te₂ compounds has attracted considerable attention. Here, we expose the intrinsic nature of AHC in Fe₃GaTe₂ crystals characterized by high conductivities, which show disorder-independent AHC with a pronounced value σ_xy^c ≈ 420 Ω⁻¹cm⁻¹. In the low conductivity regime, we observe the scaling relation σ_xy ∝ σ_xx^1.6 , which crosses over to σ_xy ≈ σ_xy^c as σ_xx increases. Disorder in low-conductivity crystals is confirmed by the broadening of a first-order transition between ferromagnetism and the ferrimagnetic ground state. Through density functional theory (DFT) calculations, we reveal that the dominant sources of Berry curvature are located a few hundred meV below the Fermi energy around the Γ-point. Therefore, Fe₃GaTe₂ clearly exposes the disorder-induced crossover among distinct AHC regimes, previously inferred from measurements on different ferromagnets located in either side of the crossover region