Three-dimensional quantum Hall effect and magnetothermoelectric properties in Weyl semimetals

Abstract

We numerically study the three-dimensional (3D) quantum Hall effect (QHE) and magnetothermoelectric transport of Weyl semimetals in the presence of disorder. We obtain a bulk picture that the exotic 3D QHE emerges in a finite range of Fermi energy near the Weyl points determined by the gap between the $n=-1$ and $n=1$ Landau levels (LLs). The quantized Hall conductivity is attributable to the chiral zeroth LLs traversing the gap, and is robust against disorder scattering for an intermediate number of layers in the direction of the magnetic field. Moreover, we predict several interesting characteristic features of the thermoelectric transport coefficients in the 3D QHE regime, which can be probed experimentally. This may open an avenue for exploring Weyl physics in topological materials.

6 pages, 4 figures

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Cited by in corpus (6)

• Field-Tunable One-Sided Higher-Order Topological Hinge States in Dirac Semimetals
• Understanding the three-dimensional quantum Hall effect in generic multi-Weyl semimetals
• Topological states in superlattices of HgTe-class materials for engineering three-dimensional flat bands
• Pairwise annihilation of Weyl nodes induced by magnetic fields in the Hofstadter regime
• Magneto-Seebeck coefficient of Fermi-liquid in three-dimensional Dirac/Weyl semimetal
• Breakdown of chiral anomaly and emergent phases in Weyl semimetals under orbital magnetic fields