Anomalous Hall effect at the Lifshitz transition in massive Dirac semimetal ZrTe₅

The intrinsic anomalous Hall effect is a direct manifestation of the Berry curvature in the band structure of a material. In the massive Dirac semimetal ZrTe₅, it has been shown that the strong Zeeman splitting gives rise to a sizeable Berry curvature which can be directly observed by transport measurements. In this work, we study the anomalous Hall effect in ZrTe₅ in the presence of a temperature induced Lifshitz transition, in which the Fermi level goes from the conduction band to the valence band with increasing temperature. The relative influence of the anomalous contribution increases as the Fermi level approaches the Dirac node, as expected for a Dirac semimetal and in agreement with first principles calculations. Our results provide an insight of the interplay between topology and electronic states in the system and show that ZrTe₅ is a highly tunable platform for studying topological effects in crystals.