Anisotropic three-dimensional quantum Hall effect and magnetotransport in mesoscopic Weyl semimetals

Abstract

Weyl semimetals are emerging to become a new class of quantum-material platform for various novel phenomena. Especially, the Weyl orbit made from surface Fermi arcs and bulk relativistic states is expected to play a key role in magnetotransport, leading even to a three-dimensional quantum Hall effect (QHE). It is experimentally and theoretically important although yet unclear whether it bears essentially the same phenomenon as the conventional two-dimensional QHE. We discover an unconventional fully three-dimensional anisotropy in the quantum transport under magnetic field. Strong suppression and even disappearance of QHE occur when Hall-bar current is rotated away from being transverse to parallel with respect to the Weyl point alignment, which is attributed to a peculiar absence of conventional bulk-boundary correspondence. Besides, transport along the magnetic field can exhibit a remarkable reversal from negative to positive magnetoresistance. These results establish the uniqueness of this QHE system as a novel three-dimensional quantum matter.

arXiv comment9 pages, published

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Cited by in corpus (6)

• Realization of the Single-pair-Weyl Phonons with the Maximum Charge Number in Acoustic Crystals
• Two Types of 3D Quantum Hall Effects in Multilayer WTe${}_2$
• Pairwise annihilation of Weyl nodes induced by magnetic fields in the Hofstadter regime
• Surface spectroscopy and surface-bulk hybridization of Weyl semimetals
• Breakdown of chiral anomaly and emergent phases in Weyl semimetals under orbital magnetic fields
• The impact of dimensionality on universality of quantum Hall transitions