Tunable large Berry dipole in strained twisted bilayer graphene

Abstract

Recent experiments have measured local uniaxial strain fields in twisted bilayer graphene (TBG). Our calculations found that the finite Berry curvature generated by breaking the sublattice symmetry and the band proximity between narrow bands in these TBG induces a giant Berry dipole of order 10\,nm or larger. The large Berry dipole leads to transverse topological non-linear charge currents which dominates over the linear bulk valley current at experimentally accessible crossover in-plane electric field of $\sim 0.1\mathrm{mV}/\mu \mathrm{m}$. This anomalous Hall effect, due to Berry dipole, is strongly tunable by the strain parameters, electron fillings, gap size, and temperature.

4 pages and 4 figurs with additional supplementary material. Published version

References in corpus (7)

• Detecting Topological Currents in Graphene Superlattices
• Lattice relaxation and energy band modulation in twisted bilayer graphenes
• Origin of band gaps in graphene on hexagonal boron nitride
• Band structure and insulating states driven by the Coulomb interaction in twisted bilayer graphene
• Spontaneous Strains and Gap in Graphene on Boron Nitride
• Nonlinear valley and spin currents from Fermi pocket anisotropy in 2D crystals
• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides

Cited by in corpus (40)

• Nonlinear Hall Effects
• Berry curvature dipole senses topological transition in a moiré superlattice
• Terahertz detection based on nonlinear Hall effect without magnetic field
• Programming moiré patterns in 2D materials by bending
• Giant nonlinear Hall effect in strained twisted bilayer graphene
• Intrinsic nonlinear Hall effect and gate-switchable Berry curvature sliding in twisted bilayer graphene
• Tunable moiré materials for probing Berry physics and topology
• Nonlinear anomalous Hall effects probe topological phase-transitions in twisted double bilayer graphene
• Strain induced quasi-unidimensional channels in twisted moiré lattices
• Non-linear Hall Effects: Mechanisms and Materials
• Twistronics versus straintronics in twisted bilayers of graphene and transition metal dichalcogenides
• Engineering transistor-like optical gain in two-dimensional materials with Berry curvature dipoles
• Terahertz photocurrent probe of quantum geometry and interactions in magic-angle twisted bilayer graphene
• Why the first magic-angle is different from others in twisted graphene bilayers: interlayer currents, kinetic and confinement energy and wavefunction localization
• Interaction-Enhanced Topological Hall Effects in Strained Twisted Bilayer Graphene
• Strain-induced large injection current in twisted bilayer graphene
• Quantum plasmonic non-reciprocity in parity-violating magnets
• Light-enhanced nonlinear Hall effect
• Nonlinear Hall effect induced by internal Coulomb interaction and phase relaxation process in a four-terminal system with time-reversal symmetry
• Extrinsic and Intrinsic Nonlinear Hall Effects across Berry-Dipole Transitions
• Tunable Topology and Berry Curvature Dipole in Transition Metal Dichalcogenide Janus Monolayers
• Mechanical control of quantum transport in graphene
• Nonlinear Hall effect in two-dimensional class AI metals
• Quantum Geometric Oscillations in Two-Dimensional Flat-Band Solids
• Chiral terahertz lasing with Berry curvature dipoles
• Intrinsic nonreciprocal bulk plasmons in noncentrosymmetric magnetic systems
• Berry curvature, spin Hall effect and nonlinear optical response in moiré transition metal dichalcogenide heterobilayers
• Berry Curvature Spectroscopy from Bloch Oscillations
• Intrinsic nonlinear Hall effect in two-dimensional honeycomb topological antiferromagnets
• Roses in the Nonperturbative Current Response of Artificial Crystals
• Nonlinear Hall effects with an exceptional ring
• Inducing Berry Curvature Dipole in Multilayer Graphene through Inhomogeneous Interlayer Sliding
• Brownian dynamics of Dirac fermions in twisted bilayer graphene
• Moiré amplification of highly tunable shift current response in twisted trilayer graphene
• Colossal Layer Nernst Effect in Twisted Moiré Layers
• Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals
• Quantum Transport Straintronics and Mechanical Aharonov-Bohm Effect in Quasi-metallic SWCNTs
• Review of the tight-binding method applicable to the properties of moiré superlattices
• Modulation of quantum geometry and its coupling to pseudo-electric field by dynamic strain
• Straintronics and twistronics in bilayer graphene