Giant nonlinear Hall effect in twisted WSe${}_2$

Abstract

The recently discovered nonlinear Hall effect (NHE) in a few non-interacting systems provides a novel mechanism to generate second harmonic electrical Hall signals under time-reversal-symmetric conditions. Here, we introduce a new approach to engineering NHE by using twisted moiré structures. We find that the twisted WSe${}_2$ bilayer exhibits a NHE when tuning the Fermi level to the moiré flat bands. Near half-filling of the first moiré band, the nonlinear Hall signal shows a sharp peak with the generation efficiency at least two orders of magnitude larger than those in previous experiments. We propose that the giant NHE and diverging generation efficiency originate from a mass-diverging type continuous Mott transition, which is evidenced by resistivity measurements. This work demonstrates not only how interaction effects can couple to Berry curvature dipoles to produce novel quantum phenomena, but also what NHE measurements can provide for developing a new tool to study the quantum criticality.

arXiv commentMain text (15 pages, 4 figures), Supplemental Material (12 pages, 8 figures)

References in corpus (33)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Magic continuum in twisted bilayer WSe2
• Magic Angle Spectroscopy
• Topological insulators in twisted transition metal dichalcogenide homobilayers
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Hubbard model physics in transition metal dichalcogenide moiré bands
• Strange metal in magic-angle graphene with near Planckian dissipation
• Ultraflat bands and shear solitons in Moiré patterns of twisted bilayer transition metal dichalcogenides
• Nonlinear Hall Effects
• Continuous Mott transition in semiconductor moiré superlattices
• Quantum Criticality in Twisted Transition Metal Dichalcogenides
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Critical fermi surfaces and non-fermi liquid metals
• Theory of a continuous Mott transition in two dimensions
• High-frequency rectification via chiral Bloch electrons
• Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe${}_2$
• Strain-engineering of Berry curvature dipole and valley magnetization in monolayer MoS${}_2$
• Berry curvature dipole current in transition metal dichalcogenides family
• Quantum theory of the nonlinear Hall effect
• Quantum frequency doubling in the topological insulator Bi2Se3
• Zero-magnetic-field Hall effects in artificially corrugated bilayer graphene
• Terahertz detection based on nonlinear Hall effect without magnetic field
• Lattice reconstruction induced multiple ultra-flat bands in twisted bilayer WSe2
• Mott insulating states with competing orders in the triangular lattice Hubbard model
• Strain Tunable Berry Curvature Dipole, Orbital Magnetization and Nonlinear Hall Effect in WSe2 Monolayer
• Electronic Structure Theory of Strained Two-Dimensional Materials with Hexagonal Symmetry
• Interaction-Driven Filling-Induced Metal-Insulator Transitions in 2D Moiré Lattices
• Two-dimensional metals for piezotronics devices based on Berry curvature dipole
• Nonlinear Hall Effects in Strained Twisted Bilayer WSe${}_2$
• Theory of a continuous bandwidth-tuned Wigner-Mott transition
• Interaction effects and superconductivity signatures in twisted double-bilayer WSe${}_2$

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