Quantum frequency doubling in the topological insulator Bi2Se3

Abstract

The nonlinear Hall effect due to Berry curvature dipole (BCD) induces frequency doubling, which was recently observed in time-reversal-invariant materials. Here we report novel electric frequency doubling in the absence of BCD on a surface of the topological insulator Bi2Se3 under zero magnetic field. We observe that the frequency-doubling voltage transverse to the applied ac current shows a threefold rotational symmetry, whereas it forbids BCD. One of the mechanisms compatible with the symmetry is skew scattering, arising from the inherent chirality of the topological surface state. We introduce the Berry curvature triple, a high-order moment of the Berry curvature, to explain skew scattering under the threefold rotational symmetry. Our work paves the way to obtain a giant second-order nonlinear electric effect in high mobility quantum materials, as the skew scattering surpasses other mechanisms in the clean limit.

References in corpus (43)

• Topological Insulators
• Boron nitride substrates for high-quality graphene electronics
• Anomalous Hall effect
• Weyl and Dirac Semimetals in Three Dimensional Solids
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Observation of the chiral magnetic effect in ZrTe5
• Model Hamiltonian for Topological Insulators
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Gate-Voltage Control of Chemical Potential and Weak Anti-localization in Bismuth Selenide
• Proper Scaling of the Anomalous Hall Effect
• Spin Polarization and Transport of Surface States in the Topological Insulators Bi2Se3 and Bi2Te3 from First Principles
• Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
• Surface conduction of topological Dirac electrons in bulk insulating Bi2Se3
• Room temperature magnetization switching in topological insulator-ferromagnet heterostructures by spin-orbit torques
• Thickness-independent transport channels in topological insulator Bi2Se3 thin films
• Spatial Fluctuations of Helical Dirac Fermions on the Surface of Topological Insulators
• Disorder-induced nonlinear Hall effect with time-reversal symmetry
• Optical characterization of topological insulator surface states: Berry curvature-dependent response
• Confinement-induced Berry phase and helicity-dependent photocurrents
• The Berry curvature dipole in Weyl semimetal materials: an ab initio study
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Spin and Charge Transport on the Surface of a Topological Insulator
• Observation of a warped helical spin-texture in Bi${}_2$Se${}_3$ from circular dichroism angle-resolved photoemission spectroscopy
• Epitaxial growth of topological insulator Bi2Se3 film on Si(111) with atomically sharp interface
• High-frequency rectification via chiral Bloch electrons
• Van der Waals epitaxy of Bi2Se3 on Si(111) vicinal surface: An approach to prepare high-quality thin films of topological insulator
• Valley Magnetoelectricity in Single-Layer MoS2
• Berry curvature dipole current in transition metal dichalcogenides family
• Bilinear magneto-electric resistance as a probe of three-dimensional spin texture in topological surface states
• Strongly enhanced Berry dipole at topological phase transitions in BiTeI
• Electrically tuneable nonlinear anomalous Hall effect in two-dimensional transition-metal dichalcogenides WTe2 and MoTe2
• Symmetry and Quantum Kinetics of the Non-linear Hall Effect
• Room temperature high frequency transport of Dirac fermions in epitaxially grown Sb_2Te_3 based topological insulators
• Coordinate shift in the semiclassical Boltzmann equation and the anomalous Hall effect
• Nonlinear spin current generation in noncentrosymmetric spin-orbit coupled systems
• Gyrotropic Hall effect in Berry-curved materials
• Intrinsic Electron-Phonon Resistivity in Bi2Se3 in the Topological Regime
• Band resolved imaging of photocurrent in a topological insulator
• Hexagonal warping on spin texture, Hall conductivity and circular dichroism of Topological Insulator
• Multifractal nature of the surface local density of states in three-dimensional topological insulators with magnetic and nonmagnetic disorder
• Noncommutative quantum mechanics and skew scattering in ferromagnetic metals

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• Nonlinear Hall Effects
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• Quantum theory of the nonlinear Hall effect
• Terahertz detection based on nonlinear Hall effect without magnetic field
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Giant nonlinear Hall effect in twisted WSe${}_2$
• Higher-Order Nonlinear Anomalous Hall Effects Induced by Berry Curvature Multipoles
• Strong Room-Temperature Bulk Nonlinear Hall Effect in a Spin-Valley Locked Dirac Material
• Designing spin and orbital sources of Berry curvature at oxide interfaces
• Control over Berry Curvature Dipole with Electric Field in WTe2
• Tunable moiré materials for probing Berry physics and topology
• Tunable room temperature nonlinear Hall effect from the surfaces of elementary bismuth thin films
• Revealing Quantum Geometry in Nonlinear Quantum Materials
• Non-linear Hall Effects: Mechanisms and Materials
• Non-linear Transport in Non-centrosymmetric Systems: From Fundamentals to Applications
• Magnus Hall effect in three-dimensional topological semimetals
• Odd non-linear conductivity under spatial inversion in chiral Tellurium
• Scaling Law for Time-Reversal-Odd Nonlinear Transport
• Tracing out the Berry curvature dipole and multipoles in second harmonic Hall responses of time-reversal symmetric insulators
• Orbital polarization and third-order anomalous Hall effect in WTe2
• Quantum Fluctuation of the Quantum Geometric Tensor and its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems
• Berry curvature dipole and nonlinear Hall effect in two-dimensional Nb${}_{2n+1}$Si${}_n$Te${}_{4n+2}$
• Nonlinear spectroscopy of bound states in perturbed Ising spin chains
• Orbital design of Berry curvature: pinch points and giant dipoles induced by crystal fields
• Ferroic Berry Curvature Dipole in a Topological Crystalline Insulator at Room Temperature
• Light-enhanced nonlinear Hall effect
• Large nonlinear Hall effect and Berry curvature in KTaO3 based two-dimensional electron gas
• Non-Linear Hall Effect in Multi-Weyl Semimetals
• Observation of terahertz second harmonic generation from Dirac surface states in the topological insulator Bi${}_2$Se${}_3$
• Nonlinear Hall effect on a disordered lattice
• Detecting Lifshitz Transitions Using Nonlinear Conductivity in Bilayer Graphene
• Magnetic parity violation and parity-time-reversal-symmetric magnets
• Nonlinear Hall effect and scaling law in Sb-doped topological insulator MnBi4Te7
• Surface-Dominated Quantum Metric-Induced Nonlinear Transport in the Layered Antiferromagnet CrSBr
• Electric field induced second-order anomalous Hall transport in unconventional Rashba systems
• How to identify and characterize strongly correlated topological semimetals
• Room-temperature nonlinear transport and microwave rectification in antiferromagnetic MnBi${}_2$Te${}_4$ films
• Proper Definition of Intrinsic Nonlinear Current
• Enhanced Non-linear Response by Manipulating the Dirac Point in the (111) LaTiO${}_3$/SrTiO${}_3$ Interface
• Nonlinear Hall effects with an exceptional ring
• Enhanced nonlinear Hall effect by Cooper pairs near superconductor criticality
• Nonlinear and nonreciprocal transport effects in untwinned thin films of ferromagnetic Weyl metal SrRuO${}_3$
• Engineering nonlinear Hall effect in bilayer graphene/black phosphorus heterostructures
• Nonlinear thermoelectric probes of anomalous electron lifetimes in topological Fermi liquids
• Realizing a topological diode effect on the surface of a topological Kondo insulator
• Movable Dirac Points with Ferroelectrics: Kink States and Berry Curvature Dipoles
• Moiré amplification of highly tunable shift current response in twisted trilayer graphene
• Nonlinear planar magnetotransport as a probe of the topology of surface states
• Orbital anomalous Hall effect in the few-layer Weyl semimetal TaIrTe4
• Nonlinear Hall effect driven by spin-charge-coupled motive force
• Second-Order Conductivity Probes a Cascade of Singularities in a Moiré Superlattice
• Real Space Characterization of Nonlinear Hall Effect in Confined Directions
• Nonlinear edge transport in a quantum Hall system
• Strong Field Optical Hall Effect in 2D Weyl Semimetal
• Temporal modulation of second harmonic generation in ferroelectrics by a pulsed electric field
• Terahertz electro-optic effect in Bi${}_2$Se${}_3$ crystals
• Identifying geometric third-order nonlinear transport in disordered materials
• Resonant Nonlinear Hall Effect in Two-Dimensional Electron Systems
• Magnetotransport in Topological Materials and Nonlinear Hall Effect via First-Principles Electronic Interactions and Band Topology