Anomalous Hall effect at the Lifshitz transition in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>Zr</mml:mi><mml:msub><mml:mi>Te</mml:mi><mml:mn>5</mml:mn></mml:msub></mml:mrow></mml:math>
P. M. Lozano, Gabriel Cardoso, Niraj Aryal, D. Nevola, Genda Gu, A. M. Tsvelik, Wei‐Guo Yin, Qiang Li
Abstract
Zirconium pentatelluride $\mathrm{Zr}{\mathrm{Te}}_{5}$ is a topological semimetal. 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, provides unique opportunities to study the interplay between Fermi-surface topology, dynamics of Dirac fermions, and Berry curvature in one system. Here we present a combined experimental and theoretical study and show that a low-energy model can be used to understand the complicated Hall response and large anomalous Hall effect observed in $\mathrm{Zr}{\mathrm{Te}}_{5}$ over a wide range of temperature and magnetic field. We found that the anomalous Hall contribution dominates the Hall response in a narrow temperature window around the Lifshitz transition, away from which the orbital contribution dominates. Moreover, our results indicate that a topological phase transition coexists with the Lifshitz transition. Our model provides a unifying framework to understand the Hall effect in semimetals with large Zeeman splitting and nontrivial topology.