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Researches on anomalous Hall effect (AHE) have been lasting for a century tomake clear the underlying physical mechanism. Generally, the AHE appears inmagnetic materials, in which extrinsic process related to scattering effectsand intrinsic contribution connected with Berry curvature are crucial.Recently, AHE has been counterintuitively observed in non-magnetic topologicalmaterials and attributed to the existence of Weyl points. However, the Weylpoint scenario would lead to unsaturated AHE even in large magnetic fields andcontradicts the saturation of AHE in several tesla (T) in experiments. In thiswork, we investigate the Hall effect of ZrTe5 and HfTe5 thin flakes in staticultrahigh magnetic fields up to 33 T. We find the AHE saturates to 55 (70)Ohm^-1*cm^-1 for ZrTe5 (HfTe5) thin flakes above ~ 10 T. Combining detailedmagnetotransport experiments and Berry curvature calculations, we clarify thatthe splitting of massive Dirac bands without Weyl points can be responsible forAHE in non-magnetic topological materials ZrTe5 and HfTe5 thin flakes. Thismodel can identify our thin flake samples to be weak topological insulators andserve as a new tool to probe the band structure topology in topologicalmaterials.

Induced anomalous Hall effect of massive Dirac fermions in ZrTe5 and HfTe5 thin flakes