Origin of the quasi-quantized Hall effect in ZrTe5

Abstract

The quantum Hall effect (QHE) is traditionally considered a purely two-dimensional (2D) phenomenon. Recently, a three-dimensional (3D) version of the QHE has been reported in the Dirac semimetal ZrTe5. It was proposed to arise from a magnetic-field-driven Fermi surface instability, transforming the original 3D electron system into a stack of 2D sheets. Here, we report thermodynamic, thermoelectric and charge transport measurements on ZrTe5 in the quantum Hall regime. The measured thermodynamic properties: magnetization and ultrasound propagation, show no signatures of a Fermi surface instability, consistent with in-field single crystal X-ray diffraction. Instead, a direct comparison of the experimental data with linear response calculations based on an effective 3D Dirac Hamiltonian suggests that the quasi-quantization of the observed Hall response is an intrinsic property of the 3D electronic structure. Our findings render the Hall effect in ZrTe5 a truly 3D counterpart of the QHE in 2D systems.

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Cited by in corpus (27)

• Unconventional Hall response in the quantum limit of HfTe5
• Understanding the three-dimensional quantum Hall effect in generic multi-Weyl semimetals
• Signatures of a magnetic-field-induced Lifshitz transition in the ultra-quantum limit of the topological semimetal ZrTe${}_5$
• Anisotropic three-dimensional quantum Hall effect and magnetotransport in mesoscopic Weyl semimetals
• Temperature dependence of the energy band gap in ZrTe${}_5$: implications for the topological phase
• Quantum oscillations and three-dimensional quantum Hall effect in ZrTe${}_5$
• Gate-tunable multiband transport in ZrTe5 thin devices
• Quantum-Hall physics and three dimensions
• Propagation of longitudinal acoustic phonons in ZrTe${}_5$ exposed to a quantizing magnetic field
• Revealing temperature evolution of the Dirac band in ZrTe${}_5$ via magneto-infrared spectroscopy
• Magnetic-field-induced nonlinear transport in HfTe5
• Three-dimensional quasi-quantized Hall insulator phase in SrSi2
• 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 ${\mathrm{HfTe}}_5$
• Engineering a pure Dirac regime in ZrTe${}_5$
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• Magnetotransport due to conductivity fluctuations in non-magnetic ZrTe2 nanoplates
• Importance of the semimetallic state for the quantum Hall effect in HfTe${}_5$
• Quantum theory of the magnetochiral anisotropy coefficient in ZrTe${}_5$
• Magneto-Seebeck coefficient of Fermi-liquid in three-dimensional Dirac/Weyl semimetal
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• Giant quantum oscillations in thermal transport in low-density metals via electron absorption of phonons
• Transport scaling and critical tilt effects in disordered two-dimensional Dirac fermions
• Three-dimensional quantum Hall states as a chiral electromagnetic filter
• Quasi-quantized Hall response in bulk InAs
• First-principles studies of fermiology in topological phases of bulk ZrTe${}_5$