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Anomalous Hall effect (AHE) is important for understanding the topologicalproperties of electronic states, and provides insight into the spin-polarizedcarriers of magnetic materials. AHE has been extensively studied in metallic,but not variable-range-hopping (VRH), regime. Here we report the experiments ofboth anomalous and ordinary Hall effect (OHE) in Mott and Efros VRH regimes. Wefound unusual scaling law of the AHE coefficient $Rah=aRxx^b$ with b>2,contrasting the OHE coefficient $Roh=cRxx^d$ with d<1. More strikingly, thesign of AHE coefficient changes with temperature with specific electrondensities.

Anomalous Hall Effect in Variable Range Hopping Regime: Unusual Scaling Law and Sign Reversal with Temperature