Time-Reversal Even Charge Hall Effect from Twisted Interface Coupling

Abstract

Under time-reversal symmetry, a linear charge Hall response is usually deemed to be forbidden by the Onsager relation. In this work, we discover a scenario for realizing a time-reversal even linear charge Hall effect in a non-isolated two-dimensional crystal allowed by time reversal symmetry. The restriction by Onsager relation is lifted by interfacial coupling with an adjacent layer, where the overall chiral symmetry requirement is fulfilled by a twisted stacking. We reveal the underlying band geometric quantity as the momentum-space vorticity of layer current. The effect is demonstrated in twisted bilayer graphene and twisted homobilayer transition metal dichalcogenides with a wide range of twist angles, which exhibit giant Hall ratios under experimentally practical conditions, with gate voltage controlled on-off switch. This work reveals intriguing Hall physics in chiral structures, and opens up a research direction of layertronics that exploits the quantum nature of layer degree of freedom to uncover exciting effects.

Supplementary Information included. To appear in Nature Communications

References in corpus (29)

• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Graphene Bilayers with a Twist
• Topological insulators in twisted transition metal dichalcogenide homobilayers
• Moiré heterostructures as a condensed matter quantum simulator
• Quantum anomalous Hall effect and related topological electronic states
• Optical Absorption in Twisted Bilayer Graphene
• Commensuration and Interlayer Coherence in Twisted Bilayer Graphene
• Strong Coulomb drag and broken symmetry in double-layer graphene
• Gate-tunable Topological Valley Transport in Bilayer Graphene
• Nonlinear Hall Effects
• Layer Hall effect in a 2D topological Axion antiferromagnet
• Higher-Order Topological Insulator in Twisted Bilayer Graphene
• Quantum Hall Drag of Exciton Superfluid in Graphene
• Abelian and Non-Abelian Quantum Geometric Tensor
• Giant magnetic field from moiré induced Berry phase in homobilayer semiconductors
• Observation of Helical Edge States and Fractional Quantum Hall Effect in a Graphene Electron-hole Bilayer
• Crossover between Strongly-coupled and Weakly-coupled Exciton Superfluids
• Electron-hole collision limited transport in charge-neutral bilayer graphene
• Intrinsic Layer-Polarized Anomalous Hall Effect in Bilayer MnBi2Te4
• Interlayer fractional quantum Hall effect in a coupled graphene double-layer
• Layer Hall effect induced by hidden Berry curvature in antiferromagnetic insulators
• Weak-field Hall Resistivity and Spin/Valley Flavor Symmetry Breaking in Magic-Angle Twisted Bilayer Graphene
• High mobility dry-transferred CVD bilayer graphene
• Quantum Anomalous Layer Hall Effect in the Topological Magnet MnBi2Te4
• Frictional magneto-Coulomb drag in graphene double-layer heterostructure
• Strong interminivalley scattering in twisted bilayer graphene revealed by high-temperature magnetooscillations
• Change of chirality at magic angles of twisted bilayer graphene

Cited by in corpus (22)

• Dissipationless Layertronics in Axion Insulator $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• Chiral Pseudo Spin Liquids in Moire Heterostructures
• Equivalence of semiclassical and response theories for second-order nonlinear ac Hall effects
• Crossed Nonlinear Dynamical Hall Effect in Twisted Bilayers
• Observation of time-reversal symmetric Hall effect in graphene-WSe2 heterostructures at room temperature
• Planar Hall Effect in Quasi-Two-Dimensional Materials
• Stable Higher-Order Topological Dirac Semimetals with ${\mathbb{Z}}_2$ Monopole Charge in Alternating-twisted Multilayer Graphenes and beyond
• Dynamical Chiral Nernst Effect in Twisted Van der Waals Few Layers
• Chirality probe of twisted bilayer graphene in the linear transport regime
• Intrinsic Dipole Hall effect in twisted MoTe${}_2$: magnetoelectricity and contact-free signatures of topological transitions
• Layer Hall counterflow as a model probe of magic-angle twisted bilayer graphene
• Layer Coherence Origin of Planar Hall Effect: from Charge to Multipole and Valley
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Quantum geometric tensor and the topological characterization of the extended Su-Schrieffer-Heeger model
• Colossal Layer Nernst Effect in Twisted Moiré Layers
• Spinless topological chirality from Umklapp scattering in twisted 3D structures
• Layer-dependent transport properties in the Moiré of strained homobilayer transition metal dichalcogenides
• Layer-Resolved Quantum Transport in Twisted Bilayer Graphene: Counterflow and Machine Learning Predictions
• Chiral excitonic systems in twisted bilayers from Förster coupling and unconventional excitonic Hall effects
• Topological domain-wall states from Umklapp scattering in twisted bilayer graphene
• Interlayer electric multipole Hall effect in twisted multilayers
• Prediction of a layer nonlinear Hall effect in bilayer nonmagnetic or antiferromagnetic systems