Quantum oscillations and three-dimensional quantum Hall effect in ZrTe${}_5$

Abstract

Recent experiments have reported a lot of spectacular transport properties in topological materials, such as quantum oscillations and three-dimensional (3D) quantum Hall effect (QHE) in ZrTe${}_5$. In this paper, by using a strong topological insulator model to describe ZrTe${}_5$, we study the magnetotransport property of the 3D system. With fixed carrier density, we find that there exists a deferring effect in the chemical potential, which favors distinguishing the saddle points of the inverted LLs. On the other hand, with fixed chemical potential, the features of 3D QHE are demonstrated and we attribute the underlying mechanisms to the interplay between Dirac fermions, magnetic field and impurity scatterings.

arXiv comment11 pages, 5 figures

References in corpus (45)

• Topological Insulators
• Topological insulators and superconductors
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Weyl Semimetal in a Topological Insulator Multilayer
• Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd${}_3$As${}_2$
• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• Observation of the chiral magnetic effect in ZrTe5
• Model Hamiltonian for Topological Insulators
• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
• Quantum transport evidence for a three-dimensional Dirac semimetal phase in Cd3As2
• Charge Transport in Weyl Semimetals
• Anomalous Hall Effect in Weyl Metals
• 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
• Magneto-infrared spectroscopy of Landau levels and Zeeman splitting of three-dimensional massless Dirac Fermions in ZrTe${}_5$
• Evidence for a Strong Topological Insulator Phase in $\mathrm{ZrT}{\mathrm{e}}_5$
• Quantum Hall Effect of Dirac Fermions in Graphene: Disorder Effect and Phase Diagram
• Magneto-optical conductivity of Weyl semimetals
• Temperature-driven Topological Phase Transition and Intermediate Dirac Semimetal Phase in ZrTe${}_5$
• Spectroscopic evidence for bulk-band inversion and three-dimensional massive Dirac fermions in ZrTe5
• Theory for the Charge-Density-Wave Mechanism of 3D Quantum Hall Effect
• Gigantic magnetochiral anisotropy in the topological semimetal ZrTe5
• Anomalous thermoelectric effects of ZrTe${}_5$ in and beyond the quantum limit
• Two-dimensional conical dispersion in ZrTe5 evidenced by optical spectroscopy
• Transversal magnetoresistance in Weyl semimetals
• Origin of the quasi-quantized Hall effect in ZrTe5
• Observation of a thermoelectric Hall plateau in the extreme quantum limit
• 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
• Topological Lifshitz transition and one-dimensional Weyl mode in HfTe5
• Intrinsic Magnetoresistance in Three-Dimensional Dirac Materials
• Thermodynamically Induced Transport Anomaly in Dilute Metals ZrTe${}_5$ and HfTe${}_5$
• Magnetoresistance of a three-dimensional Dirac gas
• Distinguishing the gapped and Weyl semimetal scenario in ZrTe${}_5$: insights from an effective two-band model
• Quantum Oscillations in the Chiral Magnetic Conductivity
• Disorder and magnetoconductivity in tilted Weyl semimetals
• Disorder and magnetic transport in tilted Weyl semimetals
• Magnetotransport in Dirac metals: chiral magnetic effect and quantum oscillations
• Examining the validity of the two-dimensional conical model to describe the three-dimensional ZrTe5
• Gapped Dirac semimetal with mixed linear and parabolic dispersions
• Optical conductivity and resistivity in a four-band model for ZrTe${}_5$ from ab-initio calculations
• Magneto-optic signatures in the gapped Dirac semimetal with mixed linear and parabolic dispersions of ZrTe5

Cited by in corpus (4)

• High-harmonic generation in semi-Dirac and Weyl semimetals with broken time-reversal symmetry: Exploring merging of Weyl nodes
• Magnetic field driven Lifshitz transition and one-dimensional Weyl nodes in three-dimensional pentatellurides
• Theory of anomalous Hall effect in transition-metal pentatelluride ${\mathrm{ZrTe}}_5$ and ${\mathrm{HfTe}}_5$
• Quantum theory of the magnetochiral anisotropy coefficient in ZrTe${}_5$