Quantum Hall effect originated from helical edge states in Cd${}_3$As${}_2$

Abstract

The recent experimental observations of the quantum Hall effect in 3D topological semimetals have attracted great attention, but there are still debates on its origin. We systematically study the dependence of the quantum Hall effect in topological semimetals on the thickness, Fermi energy, and growth direction, taking into account the contributions from the Fermi-arc surface states, confinement-induced bulk subbands, and helical side-surface edge states. In particular, we focus on the intensively studied Dirac semimetal Cd${}_3$As${}_2$ and its slabs grown along experimentally accessible directions, including [001], [110], and [112]. We reveal an ignored mechanism from the Zeeman splitting of the helical edge states, which along with Fermi-arc 3D quantum Hall effect, may give a non-monotonic dependence of the Hall conductance plateaus on the magnetic field in the most experimentally studied [112] direction slab. Our results will be insightful for exploring the quantum Hall effects beyond two dimensions.

References in corpus (40)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Nonlocal edge state transport in the quantum spin Hall state
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
• Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals
• A Four Dimensional Generalization of the Quantum Hall Effect
• Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
• Landau Quantization and Quasiparticle Interference in the Three-Dimensional Dirac Semimetal Cd3As2
• Transport evidence for Fermi-arc mediated chirality transfer in the Dirac semimetal Cd${}_3$As${}_2$
• Disorder-induced nonlinear Hall effect with time-reversal symmetry
• Electric Field-Tuned Topological Phase Transition in Ultra-Thin Na3Bi - Towards a Topological Transistor
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• 3D quantum Hall effect of Fermi arcs in topological semimetals
• Observation of the quantum Hall effect in confined films of the three-dimensional Dirac semimetal Cd3As2
• Quantum Hall states observed in thin films of Dirac semimetal Cd3As2
• Are the double Fermi arcs of Dirac semimetals topologically protected?
• Evolution of Weyl orbit and quantum Hall effect in Dirac semimetal Cd3As2
• The chiral anomaly factory: Creating Weyl fermions with a magnetic field
• Topological currents in black phosphorus with broken inversion symmetry
• Green's function technique for studying electron flow in 2D mesoscopic samples
• Electric control of topological phase transitions in Dirac semimetal thin films
• Theory for the Charge-Density-Wave Mechanism of 3D Quantum Hall Effect
• Quantum oscillations from generic surface Fermi arcs and bulk chiral modes in Weyl semimetals
• 3D Quantum Hall Effect Manipulated by Chiral Landau Levels in Weyl Semimetals
• Gate-tuned quantum Hall states in Dirac semimetal (Cd1-xZnx)3As2
• Field-Tunable One-Sided Higher-Order Topological Hinge States in Dirac Semimetals
• Using nonlocal surface transport to identify the axion insulator
• Quantized surface transport in topological Dirac semimetal films
• Two-Dimensional Dirac Fermions in Thin Films of Cd3As2
• Robustness of Quantum Spin Hall Effect in an External Magnetic Field
• Perspective: 3D quantum Hall effect
• Topological Anderson insulator phase in a Dirac-semimetal thin film
• Quantum Hall effect induced by chiral Landau levels in topological semimetal films

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• Chern insulator in a hyperbolic lattice
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• Engineering the in-plane anomalous Hall effect in Cd${}_3$As${}_2$ thin films
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• Anisotropic three-dimensional quantum Hall effect and magnetotransport in mesoscopic Weyl semimetals
• Phase transitions in intrinsic magnetic topological insulator with high-frequency pumping
• Integer quantum Hall effect and enhanced g-factor in quantum confined Cd3As2 films
• Anomalous Hall transport by optically injected isospin degree of freedom in Dirac semimetal thin film
• Fermi energy sensitive universal conductance fluctuations in anisotropic materials
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal