Theory of anomalous Hall effect in transition-metal pentatelluride ${\mathrm{ZrTe}}_5$ and ${\mathrm{HfTe}}_5$

Abstract

The anomalous Hall effect has considerable impact on the progress of condensed matter physics and occurs in systems with time-reversal symmetry breaking. Here we theoretically investigate the anomalous Hall effect in nonmagnetic transition-metal pentatelluride $\mathrm{ZrT}{\mathrm{e}}_5$ and ${\mathrm{HfTe}}_5$. In the presence of Zeeman splitting and Dirac mass, there is an intrinsic anomalous Hall conductivity induced by the Berry curvature in the semiclassical treatment. In a finite magnetic field, the anomalous Hall conductivity rapidly decays to zero for constant spin-splitting and vanishes for the magnetic-field-dependent Zeeman energy. A semiclassical formula is derived to depict the magnetic field dependence of the Hall conductivity, which is beneficial for experimental data analysis. Lastly, when the chemical potential is fixed in the magnetic field, a Hall conductivity plateau arises, which may account for the observed anomalous Hall effect in experiments.

arXiv comment11 pages, 6 figures, reference information is updated

References in corpus (28)

• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
• Weyl Semimetal in a Topological Insulator Multilayer
• Observation of the chiral magnetic effect in ZrTe5
• Topological response in Weyl semimetals and the chiral anomaly
• Three-dimensional quantum Hall effect and metal-insulator transition in ZrTe5
• Transition-Metal Pentatelluride ZrTe${}_5$ and HfTe${}_5$: a Paradigm for Large-gap Quantum Spin Hall Insulators
• Anomalous Hall Effect in ZrTe5
• Electronic Evidence of Temperature-Induced Lifshitz Transition and Topological Nature in ZrTe5
• Magneto-infrared spectroscopy of Landau levels and Zeeman splitting of three-dimensional massless Dirac Fermions in ZrTe${}_5$
• Evidence for a strain tuned topological phase transition in ZrTe5
• Theory for the Charge-Density-Wave Mechanism of 3D Quantum Hall Effect
• Observation and control of the weak topological insulator state in ZrTe5
• Bipolar Conduction is the Origin of the Electronic Transition in Pentatellurides: Metallic vs. Semiconducting Behavior
• Resonant spin Hall conductance in quantum Hall systems lacking bulk and structural inversion symmetry
• Origin of the quasi-quantized Hall effect in ZrTe5
• Approaching Three-Dimensional Quantum Hall effect in Bulk HfTe5
• Unraveling the Topological Phase of ZrTe${}_5$ via Magneto-infrared Spectroscopy
• Dirac Polarons and Resistivity Anomaly in ZrTe5 and HfTe5
• Intrinsic Magnetoresistance in Three-Dimensional Dirac Materials
• Induced anomalous Hall effect of massive Dirac fermions in ZrTe5 and HfTe5 thin flakes
• Thermodynamically Induced Transport Anomaly in Dilute Metals ZrTe${}_5$ and HfTe${}_5$
• Zeeman-splitting-induced Topological Nodal Structure and Anomalous Hall Conductivity in ZrTe${}_5$
• Anomalous Hall effect at the Lifshitz transition in ZrTe5
• Quantum oscillations and three-dimensional quantum Hall effect in ZrTe${}_5$
• Helical Symmetry Breaking and Quantum Anomaly in Massive Dirac Fermions
• Quantum-Hall physics and three dimensions
• Magnetic oscillations of the anomalous Hall conductivity

Cited by in corpus (2)

• First-principles methodology for studying magnetotransport in narrow-gap semiconductors: an application to Zirconium Pentatelluride ZrTe5
• Lithium and Vanadium Intercalation into Bilayer V2Se2O: Ferrimagnetic-Ferroelastic Multiferroics and Anomalous and Spin Transport