Proper Definition of Intrinsic Nonlinear Current

Abstract

We show that the three commonly employed approaches that define the same dc (or low-frequency) intrinsic linear anomalous Hall response actually lead to different results for intrinsic nonlinear transport. The difference is due to an intrinsic anomalous distribution (IAD). It originates from a nonlinear field effect during scattering, but its value is completely independent of scattering, because it represents the local equilibration of electron wave packets with field corrected energy. The proper definition of intrinsic current that is detectable in experiment must incorporate the effect of IAD. We also show that IAD is indispensable for consistency with fundamental physical relations. In addition, we predict that under ac driving, the intrinsic reponses in rectified and double-frequency channels exhibit distinct frequency dependence, for which we estimate the signals that can be probed in antiferromagnetic CuMnAs.

References in corpus (53)

• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Anomalous Hall effect in ferromagnetic semiconductors
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
• Topological Nature of Anomalous Hall Effect in Ferromagnet
• Nonlinear Hall Effects
• Semiclassical theories of the anomalous Hall effect
• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Dirac Fermions in Antiferromagnetic Semimetal
• Disorder-induced nonlinear Hall effect with time-reversal symmetry
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Gyrotropic magnetic effect and the magnetic moment on the Fermi surface
• Room temperature nonlinear Hall effect and wireless RF rectification in Weyl semimetal TaIrTe4
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• High-frequency rectification via chiral Bloch electrons
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Electric control of Dirac quasiparticles by spin-orbit torque in an antiferromagnet
• Multivariable Scaling for the Anomalous Hall Effect
• Strongly enhanced Berry dipole at topological phase transitions in BiTeI
• Berry curvature dipole senses topological transition in a moiré superlattice
• Chiral photocurrent in parity-violating magnet and enhanced response in topological antiferromagnet
• Chiral magnetic effect and natural optical activity in (Weyl) metals
• Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
• Quantum frequency doubling in the topological insulator Bi2Se3
• Quantum geometry induced nonlinear transport in altermagnets
• Terahertz detection based on nonlinear Hall effect without magnetic field
• Theory of nonlinear Hall effects: renewed semiclassics from quantum kinetics
• Nonlinear anomalous Hall effect for Néel vector detection
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Giant $c$-axis nonlinear anomalous Hall effect in T${}_d$-MoTe${}_2$ and WTe${}_2$
• Nonlinear Hall Acceleration and the Quantum Rectification Sum Rule
• Chiral magnetic effect in two-band lattice model of Weyl semimetal
• Berry connection polarizability tensor and third-order Hall effect
• Scattering universality classes of side jump in anomalous Hall effect
• Intrinsic Nonlinear Spin Magnetoelectricity in Centrosymmetric Magnets
• Theory of Orbital Magnetic Quadrupole Moment and Nonlinear Anomalous Thermoelectric Transport
• Control over Berry Curvature Dipole with Electric Field in WTe2
• Tunable room temperature nonlinear Hall effect from the surfaces of elementary bismuth thin films
• Intrinsic Nonlinear Hall Detection of the Néel Vector for Two-Dimensional Antiferromagnetic Spintronics
• Role of hidden spin polarization in non-reciprocal transport of antiferromagnets
• Anomalous skew-scattering nonlinear Hall effect and chiral photocurrents in {\it PT}-symmetric antiferromagnets
• Magnetic order induces symmetry breaking in the single crystalline orthorhombic CuMnAs semimetal
• Scaling Law for Time-Reversal-Odd Nonlinear Transport
• Magnetic geometry induced quantum geometry and nonlinear transports
• An antiferromagnetic diode effect in even-layered MnBi2Te4
• Equivalence of semiclassical and response theories for second-order nonlinear ac Hall effects
• Massive fermions with low mobility in antiferromagnet orthorhombic CuMnAs single crystals
• Spin and anomalous Hall effects emerging from topological degeneracy in Dirac fermion system CuMnAs
• Nonlinear and nonreciprocal transport effects in untwinned thin films of ferromagnetic Weyl metal SrRuO${}_3$

Cited by in corpus (4)

• Quantum Christoffel Nonlinear Magnetization
• Prediction of a layer nonlinear Hall effect in bilayer nonmagnetic or antiferromagnetic systems
• Dissipation-Shaped Quantum Geometry in Nonlinear Transport
• Identifying geometric third-order nonlinear transport in disordered materials