Orbital Hall Effect Accompanying Quantum Hall Effect: Landau Levels Cause Orbital Polarized Edge Currents

Abstract

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the quantum Hall effect is accompanied by an orbital Hall effect. Our quantum mechanical calculations fit well the semiclassical interpretation in terms of "skipping orbits". The chiral edge states of a quantum Hall system are orbital polarized akin to a hypothetical orbital version of the quantum anomalous Hall effect in magnetic systems. The orbital Hall resistivity scales quadratically with the magnetic field making it the dominant effect at high fields.

arXiv commentPublished by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. This work was supported by the EIC Pathfinder OPEN Grant No. 101129641 "Orbital Engineering for Innovative Electronics"

References in corpus (43)

• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Anomalous Hall effect
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Study of Intrinsic Spin Hall Effect and Orbital Hall Effect in 4d- and 5d- Transition Metals
• Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands
• Berry phase correction to electron density of states in solids
• Intrinsic Spin and Orbital Hall Effects from Orbital Texture
• Orbital magnetization in periodic insulators
• Observation of the orbital Hall effect in a light metal Ti
• Giant Orbital Hall Effect in Transition Metals: Origin of Large Spin and Anomalous Hall Effects
• Robustness of the Spin-Chern number
• Precise quantization of anomalous Hall effect near zero magnetic field
• Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals
• Time-reversal-symmetry-broken quantum spin Hall effect
• Orbitronics: the Intrinsic Orbital Hall Effect in p-Doped Silicon
• Orbitronics: Orbital Currents in Solids
• Orbital Torque: Torque Generation by Orbital Current Injection
• Magneto-Optical Detection of the Orbital Hall Effect in Chromium
• Disentangling orbital and valley Hall effects in bilayers of transition metal dichalcogenides
• Quantum Hall Effect of Dirac Fermions in Graphene: Disorder Effect and Phase Diagram
• Giant Intrinsic Spin and Orbital Hall Effects in Sr2MO4 (M=Ru,Rh,Mo)
• Time-domain observation of ballistic orbital-angular-momentum currents with giant relaxation length in tungsten
• Intrinsic Spin and Orbital-Angular-Momentum Hall Effect
• Topological Kirchhoff Law and Bulk-Edge Correspondence for Valley-Chern and Spin-Valley-Chern Numbers
• Orbital Hall Insulating Phase in Transition Metal Dichalcogenide Monolayers
• Spin and orbital Edelstein effect in an oxide two-dimensional electron gas: theory and application to AlO${}_x$/SrTiO${}_3$
• Unconventional Topological Hall Effect in Skyrmion Crystals Caused by the Topology of the Lattice
• Orbital magnetism of coupled bands models
• Orbital Hanle Magnetoresistance in a 3d Transition Metal
• Orbital Hall effect in bilayer transition metal dichalcogenides: From the intra-atomic approximation to the Bloch states orbital magnetic moment approach
• Orbital Hall effect and orbital edge states caused by s electrons
• Magnetoelectric effect and orbital magnetization in skyrmion crystals: Detection and characterization of skyrmions
• Semiclassical analysis and the magnetization of the Hofstadter model
• Signatures of lattice geometry in quantum and topological Hall effect
• Orbital Hall effect in mesoscopic devices
• Quantum Hall effects of graphene with multi orbitals: Topological numbers, Boltzmann conductance and Semi-classical quantization
• Ultrafast Orbital Hall Effect in Metallic Nanoribbons

Cited by in corpus (10)

• Orbitronics in Two-dimensional Materials
• Topological orbital Hall effect caused by skyrmions and antiferromagnetic skyrmions
• Chirality-induced orbital Edelstein effect in an analytically solvable model
• Chirality-induced selectivity of angular momentum by orbital Edelstein effect in carbon nanotubes
• Universal intrinsic orbital dynamics from Berry curvature in electronic two-band systems
• Three-dimensional topological orbital Hall effect caused by magnetic hopfions
• Coexistent multifractal mesoscopic fluctuations in Integer Quantum Hall Transition and in Orbital Hall Transition
• Comparing the Extrinsic Orbital Hall Effect in Centrosymmetric and Noncentrosymmetric Systems: Insights from Bilayer Transition Metal Dichalcogenides
• Photonic spin Hall effect dependent on Landau level transitions in monolayer WTe2
• Orbital enhanced intrinsic nonlinear planar Hall effect for probing topological phase transition in CuTlSe${}_2$