Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects

Abstract

We present a unified theory for wave-packet dynamics of electrons in crystals subject to perturbations varying slowly in space and time. We derive the wave-packet energy up to the first order gradient correction and obtain all kinds of Berry-phase terms for the semiclassical dynamics and the quantization rule. For electromagnetic perturbations, we recover the orbital magnetization energy and the anomalous velocity purely within a single-band picture without invoking inter-band couplings. For deformations in crystals, besides a deformation potential, we obtain a Berry-phase term in the Lagrangian due to lattice tracking, which gives rise to new terms in the expressions for the wave-packet velocity and the semiclassical force. For multiple-valued displacement fields surrounding dislocations, this term manifests as a Berry phase, which we show to be proportional to the Burgers vector around each dislocation.

12 pages, RevTex

Cited by in corpus (622)

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• Topological charge pumping in spin-dependent superlattices with glide symmetry
• Coriolis force, geometric phase, and spin-electric coupling in semiconductors
• A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
• Effective Magnetic Monopoles and Universal Conductance Fluctuations
• Intrinsic torques emerging from anomalous velocity in magnetic textures
• Electric Polarization in Inhomogeneous Crystals
• Berry Curvature Spectroscopy from Bloch Oscillations
• Equations of motion of test particles for solving the spin-dependent Boltzmann-Vlasov equation
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Topology of Generalized Spinors and Chiral Anomaly
• Spin-orbital magnetic response of relativistic fermions with band hybridization
• Quantum-geometry-induced anomalous Hall effect in nonunitary superconductors and application to Sr${}_2$RuO${}_4$
• Berry Effect in Unmagnetized Inhomogeneous Cold Plasmas
• Strain tuning the magnetic and transport properties of Mn${}_3$Ge
• Role of the Berry curvature on BCS-type superconductivity in two-dimensional materials
• Semiclassical kinetic theory for systems with non-trivial quantum geometry and the expectation value of physical quantities
• Fingerprints of Berry phases in the bulk exciton spectrum of a topological insulator
• Quantum Anomalous Valley Hall Effect for Bosons
• Orbital origin of fourfold anisotropic magnetoresistance in Dirac materials
• Intrinsic and extrinsic anomalous transport properties of Heusler ferromagnets Fe${}_2$CoAl and Fe${}_2$NiAl from first principles
• Anomalous transport in pseudospin-1 fermions
• Disorder effects on triple-point fermions
• Disorder Induced Anomalous Hall Effect in Type-I Weyl Metals: Connection between the Kubo-Streda Formula in the Spin and Chiral basis
• Semiclassical Boltzmann magnetotransport theory in anisotropic systems with a nonvanishing Berry curvature
• Chiral anomaly and internode scatterings in multifold semimetals
• Diffusive real-time dynamics of a particle with Berry curvatures
• Dynamics of the Wigner Crystal of Composite Particles
• Chiral Vortical Effect in Fermi Liquid
• On surface plasmon polariton wavepacket dynamics in metal-dielectric heterostructures
• Fate of the Superconducting Ground State on the Moyal Plane
• Topological spin-Hall current in waveguided zinc-blende semiconductors with Dresselhaus spin-orbit coupling
• Quantum geometry of bosonic Bogoliubov quasiparticles
• Giant Crystal Hall Effect in Collinear Antiferromagnetic $\gamma$-FeMn
• Theory of wavepacket transport under narrow gaps and spatial textures: non-adiabaticity and semiclassicality
• Anomalous Hall effects and electron polarizability
• Topological transitions in a model with Particle-Hole symmetry, Pancharatnam-Berry Curvature and Dirac Points
• Velocity Scanning Tomography for Room-Temperature Quantum Simulation
• The Berry curvature of the Bogoliubov quasiparticle Bloch states in the unconventional superconductor Sr${}_2$RuO${}_4$
• Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
• Roses in the Nonperturbative Current Response of Artificial Crystals
• On the molecular information revealed by photoelectron angular distributions of isotropic samples
• Covariant formulation of spin optics for electromagnetic waves
• Possibility of Turbulent Crystals
• Topological contribution to magnetism in the Kane-Mele model: An explicit wave function approach
• Wavepacket dynamics on Chern band lattices in a trap
• Elasto-Dynamical Induced Spin and Charge Pumping in Bulk Heavy Metals
• Appearance of Gauge Fields and Forces beyond the adiabatic approximation
• Magnetovortical and thermoelectric transport in tilted Weyl metals
• Kinetic derivation of generalized phase space Chern-Simons theory
• Semiclassical transport with Berry curvature: Chambers formula and applications to systems with Fermi surface topological transitions
• Theory of AC Anomalous Hall Conductivity in d-electron systems
• Trapping massless Dirac particles in a rotating saddle
• Intrinsic Second-Order magnon Thermal Hall Effect
• Quantum oscillations from a pair-density wave
• Transverse force generated by an electric field and transverse charge imbalance in spin-orbit coupled systems
• Proper Definition of Intrinsic Nonlinear Current
• Berry Phase Dynamics of Sliding Electron Crystals
• Intrinsic and extrinsic anomalous transport properties in noncollinear antiferromagnetic Mn${}_3$Sn from first-principle calculations
• Chiral magnetic effect of light
• Spin Hall Effects in Antiferromagnets
• Universal Scaling Theory of the Boundary Geometric Tensor in Disordered Metals
• Quantum response theory and momentum-space gravity
• Magnetic susceptibilities of diluted magnetic semiconductors and anomalous Hall-voltage noise
• Enhanced nonlinear Hall effect by Cooper pairs near superconductor criticality
• Voltage-driven exchange resonance achieving 100\% mechanical efficiency
• Theory of an electron asymmetric scattering on skyrmion textures in two-dimensional systems
• Berry phase of the composite Fermi-liquid
• Nonlinear anomalous transverse responses induced by Berry curvature quadrupole in systems with broken time-reversal symmetry
• Geometric Dynamics of Magnetization: Electronic Contribution
• Magnetization current and anomalous Hall effect for massive Dirac electrons
• Spin optics for gravitational waves
• Emergent curved space and gravitational lensing in quantum materials
• Derivation of Semiclassical Kinetic Theory in the Presence of Non-Abelian Berry Curvature
• Spin-valley coupled thermoelectric energy converter with strained honeycomb lattices
• Hidden Anisotropy in the Drude Conductivity of Charge Carriers with Dirac-Schrödinger Dynamics
• Nonlinear thermoelectric probes of anomalous electron lifetimes in topological Fermi liquids
• Emergent electric field from magnetic resonances in a one-dimensional chiral magnet
• Topological Superconducting States and Quasiparticle Transport on Kagome Lattice
• Magnetoresistance in Noncentrosymmetric Two-dimensional Systems
• A Semiclassical Kinetic Theory of Dirac Particles and Thomas Precession
• All-optical Imprinting of Geometric Phases onto Matter Waves
• Appearance of Gauge Fields and Forces beyond the adiabatic approximation
• Phonon Edelstein effect in chiral metals
• Paraxial propagation in amorphous optical media with screw dislocation
• Electrochemical transport in Dirac nodal-line semimetals
• Magnetic field induced chiral particle-hole condensates
• Many-Body Quantum Geometric Dipole
• Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
• Spin Currents of Charged Dirac Particles in Rotating Coordinates
• Quantum geometry of correlated many-body states
• Electric field effect on electron gas spins in two-dimensional magnets with strong spin-orbit coupling
• Conventional and unconventional anomalous velocities in multiband systems
• Quantum Transport Theory of Strongly Correlated Matter
• Resonance phenomena in the interaction of a many-photon wave packet and a qubit
• Anomalous Hall effect in disordered Weyl semimetals
• Quantum Anomalous Hall Effect in $d$-Electron Kagome Systems: Chern Insulating States from Transverse Spin-Orbit Coupling
• Quantum description of Fermi arcs in Weyl semimetals in a magnetic field
• Quantum mechanics of composite fermions
• Dynamical phase interferometry of cold atoms in optical lattices
• Beyond Electric-Dipole Treatment of Light-Matter Interactions in Materials: Nondipole Harmonic Generation in Bulk Si
• Adiabatic approximation for a uniform DC electric field
• Hall Coulomb drag induced by electron-electron skew scattering
• Pryce's mass-center operators and the anomalous velocity of a spinning electron
• Disentangling contributions to longitudinal magnetoconductivity for Kramers-Weyl nodes
• Semiclassical conservation of spin and large transverse spin current in Dirac systems
• Conformal symmetry, chiral fermions and semiclassical approximation
• Anomalous, anomalous Hall effect in the layered, Kagome, Dirac semimetal KV${}_3$Sb${}_5$
• Topological charge and spin Hall effects due to skyrmions in canted antiferromagnets
• Shot noise in Weyl semimetals
• Role of Disorder in Third-order Anomalous Hall Effect in Time-reversal Symmetric Systems
• Topological Phases for Extended Objects: Semiclassical Phase-Space Approach with Tensorial Coordinates
• Chiral separation effect for spin 3/2 fermions
• Nonlinear Hall response in the driving dynamics of ultracold atoms in optical lattices
• Steady-state spin densities and currents
• Simulating a Chern Insulator with C = $\pm$2 on Synthetic Floquet Lattice
• Dissipative frequency converter: from Lindblad dynamics to non-Hermitian topology
• Coupling of electron rotation with spin in semiconductors
• Irreducible momentum-space spin structure of Weyl semimetals and its signatures in Friedel oscillations
• Detecting Topological Superconductivity via Berry Curvature Effects in Spectral Functions
• Orbital anomalous Hall effect in the few-layer Weyl semimetal TaIrTe4
• Non-divergent Chiral Charge Pumping in Weyl Semimetal
• The covariance of chiral fermions theory
• Magnetic field influenced electron-impurity scattering and magnetotransport
• Momentum-space dynamics of Dirac quasiparticles in correlated random potentials: Interplay between dynamical and Berry phases
• Anomalous Hall Resistivity of TbBaCo2O5.53 with Non-trivial Magnetic Structure
• Paraxial propagation in disclinated amorphous media
• Microcavity polaritons for topological photonics
• The Anomalous Hall Effect
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Extrinsic contribution to bosonic thermal Hall transport
• Spin Currents in Rashba Altermagnets: From Equilibrium to Nonlinear Regimes
• Capture and chaotic scattering of a charged particle by magnetic monopole under uniform electric field
• A generalized framework for straintronics in 2D quantum materials using group theory
• Intra-cell dynamics and cyclotron motion without magnetic field
• Berry curvature associated to Fermi arcs in continuum and lattice Weyl systems
• Topological linear magnetoresistivity and thermoconductivity induced by noncentrosymmetric Berry curvature
• Quantum Geometric Origin of Orbital Magnetization
• Phase space curvature in spin-orbit coupled ultracold atom systems
• Topological Aspects of Antiferromagnets
• Films of rhombohedral graphite as two-dimensional topological semimetals
• Atomic collapse of high-order singular potentials in graphene
• Pumping conductance, the intrinsic anomalous Hall effect, and statistics of topological invariants
• A Quantum Mechanical Approach To The Polarization Transport of Photons
• Orbital magnetization as the origin of the nonlinear Hall effect
• Ultrafast Optical Control of Multi-Valley States in 2D SnS
• Non-Hermitian magnetic moment
• Distinguishing features of longitudinal magnetoconductivity for a Rarita-Schwinger-Weyl node
• Identifying Anyonic Topological Order in Fractional Quantum Anomalous Hall Systems
• Electronic Impurity Scattering Induced Spin Accumulation in Metallic Thin Films
• Frequency Domain Berry Curvature Effect on Time Refraction
• Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field
• Non-Superconducting Non-Abelian Statistics in One-Dimensional Topological Insulators
• Spin motive force by the momentum-space Berry phase in magnetic Weyl semimetals
• Sign reversal of magnetoresistivity in massive nodal-line semimetals due to Lifshitz transition of Fermi surface
• Higher-order, quantum magnetic inductions in chiral topological materials
• Resonant contributions to oscillatory phenomena under conditions of magnetic breakdown during reconstructions of electron dynamics on the Fermi surface
• Experimental observation of coupled valley and spin Hall effect in p-doped WSe2 devices
• Topological Properties of Bilayer $\alpha -T_3$ Lattice Induced by Polarized Light
• Fermion liquids as quantum Hall liquids in phase space: A unified approach for anomalies and responses
• Non-Hermitian wave-packet dynamics and its realization within a non-Hermitian chiral cavity
• Radiative Transport Equation for Bloch Electrons in Electromagnetic Fields
• Nonlinear Magnetoelectric Edelstein Effect
• Resonant Nonlinear Hall Effect in Two-Dimensional Electron Systems
• Calculation of Berry curvature using nonorthogonal atomic orbitals
• Local phase-space Berry curvature and Hall transport in textured twisted bilayer graphene
• Riemannian geometric classification and emergent phenomena of magnetic textures
• Hall effect between parallel quantum wires
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Effect of trivial bands on chiral anomaly-induced longitudinal magnetoconductivity in Weyl semimetals
• Spin Hall effects and the localization of massless spinning particles
• Detecting the Berry curvature in photonic graphene
• Emergence of electromotive force in precession-less rigid motion of deformed domain wall
• Bloch dynamics with second order Berry phase correction
• Semiclassical theory for the orbital magnetic moment of superconducting quasiparticles
• Vlasov-Klimontovich Equation in Action
• Tomographic collective modes in a magnetic field
• Chiral kinematic theory and converse vortical effects
• Relativistic Spin-Lattice Interaction Compatible with Discrete Translation Symmetry in Solids
• Magnetotransport in Topological Materials and Nonlinear Hall Effect via First-Principles Electronic Interactions and Band Topology
• Orbital dynamics in 2D topological and Chern insulators
• Lattice-induced wavefunction effects on trapped superfluids
• Gradient expansion of the non-Abelian gauge-covariant Moyal star-product
• Gauge-covariant Raychaudhuri dynamics for spin-nondegenerate Lorentz-violating congruences
• Nernst Plateau in the Quantum Limit of Low-Carrier-Density Topological Insulators
• General solution for the response of materials under radiation and tilted magnetic field: semi-classical regime
• Vortical currents and reciprocal relations for transport coefficients in the electron hydrodynamic regime
• Emergence of Dirac Composite Fermions: Dipole Picture
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems