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.

arXiv comment4 pages and 4 figurs with additional supplementary material. Published version

References in corpus (52)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Berry Phase Effects on Electronic Properties
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Anomalous Hall effect
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Magic Angle Spectroscopy
• Origin of Magic Angles in Twisted Bilayer Graphene
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Detecting Topological Currents in Graphene Superlattices
• Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
• Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
• Spectroscopic signatures of many-body correlations in magic angle twisted bilayer graphene
• Lattice relaxation and energy band modulation in twisted bilayer graphenes
• Maximally-localized Wannier orbitals and the extended Hubbard model for the twisted bilayer graphene
• Optical Absorption in Twisted Bilayer Graphene
• Cascade of electronic transitions in magic-angle twisted bilayer graphene
• Cascade of Phase Transitions and Dirac Revivals in Magic Angle Graphene
• Nearly Flat Chern Bands in Moiré Superlattices
• Gate-tunable Topological Valley Transport in Bilayer Graphene
• Origin of band gaps in graphene on hexagonal boron nitride
• A mechanism for anomalous Hall ferromagnetism in twisted bilayer graphene
• Ground State and Hidden Symmetry of Magic Angle Graphene at Even Integer Filling
• Disorder-induced nonlinear Hall effect with time-reversal symmetry
• Designing Flat Band by Strain
• Twisted Bilayer Graphene Aligned with Hexagonal Boron Nitride: Anomalous Hall Effect and a Lattice Model
• Random strain fluctuations as dominant disorder source for high-quality on-substrate graphene devices
• Strain-engineering of Berry curvature dipole and valley magnetization in monolayer MoS${}_2$
• Berry curvature dipole current in transition metal dichalcogenides family
• Electronic spectrum of twisted graphene layers under heterostrain
• Strongly enhanced Berry dipole at topological phase transitions in BiTeI
• Symmetry and Quantum Kinetics of the Non-linear Hall Effect
• Band structure and insulating states driven by the Coulomb interaction in twisted bilayer graphene
• Spontaneous Strains and Gap in Graphene on Boron Nitride
• Topological Bloch Bands in Graphene Superlattices
• Nonlinear valley and spin currents from Fermi pocket anisotropy in 2D crystals
• Ferroelectric nonlinear anomalous Hall effect in few-layer WTe${}_2$
• Topological currents in black phosphorus with broken inversion symmetry
• Intrinsic valley Hall transport in atomically thin MoS2
• Heterostrain engineering on twisted graphene bilayer around the first magic angle
• Symmetry, spin-texture, and tunable quantum geometry in a WTe${}_2$ monolayer
• Band structure of twisted bilayer graphene on hexagonal boron nitride
• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Highly tunable nonlinear Hall effects induced by spin-orbit couplings in strained polar transition-metal dichalcogenides
• Anomalous Hall effect, magneto-optical properties, and nonlinear optical properties of twisted graphene systems
• Non-linear Nernst effect in bilayer WTe${}_2$
• Two-dimensional metals for piezotronics devices based on Berry curvature dipole
• Nonlinear Hall Effects in Strained Twisted Bilayer WSe${}_2$
• Strain-induced nonlinear spin Hall effect in topological Dirac semimetal

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