Hall Effect of Light

Abstract

We derive the semiclassical equation of motion for the wave-packet of light taking into account the Berry curvature in the momentum space. This equation naturally describes the interplay between the orbital and spin angular momenta, i.e., the conservation of the total angular momentum of light. This leads to the shift of the wave-packet motion perpendicular to the gradient of the dielectric constant, i.e., the polarization-dependent Hall effect of light. An enhancement of this effect in the photonic crystal is also proposed.

4 pages, 5 figures (8 EPS files), REVTeX

References in corpus (5)

• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands

Cited by in corpus (300)

• Berry Phase Effects on Electronic Properties
• Topological Photonics
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Spin-orbit interactions of light
• Quantum fluids of light
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• Transverse and longitudinal angular momenta of light
• Quantum spin Hall effect of light
• Chiral nanophotonic waveguide interface based on spin-orbit coupling of light
• Conservation of Angular Momentum, Transverse Shift, and Spin Hall Effect in Reflection and Refraction of Electromagnetic Wave Packet
• Observation of the Magnon Hall Effect
• Goos-Hänchen and Imbert-Fedorov beam shifts: An overview
• Geometrodynamics of Spinning Light
• Cavity Magnonics
• Cavity optomagnonics with spin-orbit coupled photons
• Valley Vortex States in Sonic Crystals
• Identifying graphene layers via spin Hall effect of light
• Internal flows and energy circulation in light beams
• Generalized spatial differentiation from spin Hall effect of light
• Coriolis Effect in Optics: Unified Geometric Phase and Spin-Hall Effect
• Semiclassical theories of the anomalous Hall effect
• Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices
• Enhanced and switchable spin Hall effect of light near the Brewster angle on reflection
• Angular Momenta and Spin-Orbit Interaction of Nonparaxial Light in Free Space
• Nonperturbative theory of weak pre- and post-selected measurements
• Experimental observation of the spin Hall effect of light on a nano-metal film via weak measurements
• Photonic gauge potential in a system with a synthetic frequency dimension
• Optical nanoprobing via spin-orbit interaction of light
• Artificial gauge fields in materials and engineered systems
• Tunable topological phononic crystals
• Polarization, transverse shifts, and angular momentum conservation laws in partial reflection and refraction of an electromagnetic wave packet
• Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
• Weak Measurements of Light Chirality with a Plasmonic Slit
• Geometrical Optics of Beams with Vortices: Berry Phase and Orbital Angular Momentum Hall Effect
• Optical Momentum, Spin, and Angular Momentum in Dispersive Media
• Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
• Enhancing or suppressing spin Hall effect of light in layered nanostructures
• Accidental degeneracy and topological phase transitions in two-dimensional core-shell dielectric photonic crystals
• Precision Measurement of the Optical Conductivity of Atomically Thin Crystals via Photonic Spin Hall Effect
• Non-relativistic conformal symmetries and Newton-Cartan structures
• Brillouin light scattering by magnetic quasi-vortices in cavity optomagnonics
• Goos-Hänchen and Imbert-Fedorov shifts of polarized vortex beams
• Tunable transport with broken space-time symmetries
• Emergent electromagnetism in solids
• Spin Hall effect and Berry phase of spinning particles
• Optical Magnetoelectric Effect in Multiferroic Materials: Evidence for a Lorentz Force Acting on a Ray of Light
• Topological Imbert-Fedorov shift in Weyl semimetals
• Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications
• Duality Between Spatial and Angular Shift in Optical Reflection
• Weak measurement of the Goos-Hanchen shift
• Quantized photonic spin Hall effect in graphene
• Spin Hall effect of Photons in a Static Gravitational Field
• Topological phase transitions in the photonic spin Hall effect
• Dynamic Consequences of Optical Spin-Orbit Interaction
• Spin Hall effect of light in metallic reflection
• Fermat Principle for spinning light
• The photonic wheel: demonstration of a state of light with purely transverse angular momentum
• Topics in Noncommutative Geometry Inspired Physics
• Disorder effects in the AHE induced by Berry curvature
• Spin Hall effect of a light beam in left-handed materials
• Photonic spin Hall effect in topological insulators
• Gauge Field Optics with Anisotropic Media
• Tunable lateral displacement and spin beam splitter for ballistic electrons in two-dimensional magnetic-electric nanostructures
• Geometrical Aspects in Optical Wavepacket Dynamics
• Angle-resolved cathodoluminescence imaging polarimetry
• Gravitational spin Hall effect of light
• Su-Schrieffer-Heeger Model Inspired Acoustic Interface States and Edge States
• Berry phase, Berry Connection, and Chern Number for a Continuum Bianisotropic Material from a Classical Electromagnetics Perspective
• Goos-Hänchen and Imbert-Fedorov shifts from a quantum-mechanical perspective
• Chirality Hall Effect in Weyl Semimetals
• Controlling photonic spin Hall effect via exceptional points
• Relativistic Hall Effect
• Interacting quantum fluid in a polariton topological insulator
• Topological spin transport of relativistic electron
• Unified theory for Goos-Hänchen and Imbert-Fedorov effects
• Non-Abelian gauge field optics
• Generalized shifts and weak values for polarization components of reflected light beams
• Effective Theory of Non-Adiabatic Quantum Evolution Based on the Quantum Geometric Tensor
• Spin Gauge Fields: from Berry Phase to Topological Spin Transport and Hall Effects
• Dualities and non-Abelian mechanics
• Observation of the geometric spin Hall effect of light
• Photonic spin Hall effect in bilayer graphene Moiré superlattices
• Photonic spin Hall effect in metasurfaces with rotational symmetry-breaking
• Observation of the Imbert-Fedorov effect via weak value amplification
• Goos-Haenchen and Imbert-Fedorov shifts of a nondiffracting Bessel beam
• Origin of the Phonon Hall Effect in Rare-Earth Garnets
• All-optical Hall effect by the dynamic toroidal moment in a cavity-based metamaterial
• Measuring the Quantum Geometric Tensor in 2D Photonic and Polaritonic Systems
• Berry phase of phonons and thermal Hall effect in nonmagnetic insulators
• Transverse Photo-Voltage Induced by Circularly Polarized Light
• Non-Abelian evolution of electromagnetic waves in a weakly anisotropic inhomogeneous medium
• Topological photonic crystal with equifrequency Weyl points
• Topological transport of sound mediated by spin-redirection geometric phase
• ${\mathbb{Z}}_2$ Topological Invariant for Magnon Spin Hall Systems
• Geometrical Spinoptics and the Optical Hall Effect
• Unidirectional sub-diffraction waveguiding based on optical spin-orbit coupling in subwavelength plasmonic waveguides
• Geometric spin Hall effect of light in tightly focused polarization tailored light beams
• Semiclassical Diagonalization of Quantum Hamiltonian and Equations of Motion with Berry Phase Corrections
• Chiral fermions as classical massless spinning particles
• Realization of tunable spin-dependent splitting in intrinsic photonic spin Hall effect
• Skyrmion Formation and Optical Spin-Hall Effect in an Expanding Coherent Cloud of Indirect Excitons
• Spin-orbit coupled Bose-Einstein condensate in a tilted optical lattice
• Polarization Transport of Transverse Acoustic Waves: Berry Phase and Spin Hall Effect of Phonons
• Spin-Hall effect of light at a tilted polarizer
• Observing angular deviations in light beam reflection via weak measurements
• Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems
• On orbital angular momentum conservation in Brillouin light scattering within a ferromagnetic sphere
• Topological Phases in Magnonics
• Spin Hall effect of light in photon tunneling
• Propagation of polarized gravitational waves
• Spinoptics in a stationary spacetime
• The transverse shift of a high order paraxial vortex-beam induced by a homogeneous anisotropic medium
• Spin-orbit interactions of transverse sound
• Optimal preselection and postselection in weak measurements for observing photonic spin Hall effect
• Quantized Circulation of Anomalous Shift in Interface Reflection
• Spin and orbital Hall effects for diffracting optical beams in gradient-index media
• $\mathcal{P}\mathcal{T}$-Symmetric Topological Edge-Gain Effect
• Wigner translations and the observer-dependence of the position of masslesss spinning particles
• Quantized beam shifts in graphene
• Quasioptical modeling of wave beams with and without mode conversion: I. Basic theory
• Controlled transportation of mesoscopic particles by enhanced spin orbit interaction of light in an optical trap
• Anomalous Hall conductivity from the dipole mode of spin-orbit-coupled cold-atom systems
• Strong spin-orbit interaction of light on the surface of atomically thin crystals
• Mapping the near-field spin angular momenta in the structured surface plasmon polaritons field
• Topological spin transport of photons: "magnetic monopole" gauge field in Maxwell equations and polarization splitting of rays in periodically inhomogeneous media
• Semiclassical Dynamics of Electrons in Magnetic Bloch Bands: a Hamiltonian Approach
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• Controlling Surface Plasmons Through Covariant Transformation of the Spin-Dependent Geometric Phase Between Curved Metamaterials
• Spin Hall effect of light in a random medium
• First-principle variational formulation of polarization effects in geometrical optics
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• Chiral Vortical Effect For An Arbitrary Spin
• Wigner functions and quantum kinetic theory of polarized photons
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• Exotic galilean symmetry and non-commutative mechanics
• Spin Hall effect of gravitational waves
• Memory Effect for Impulsive Gravitational Waves
• Maxwell equations in a curved spacetime: Spin optics approximation
• A group theoretical route to deterministic Weyl points in chiral photonic lattices
• Giant photonic spin Hall effect near the Dirac points
• Steering far-field spin-dependent splitting of light by inhomogeneous anisotropic media
• Consideration of Thermal Hall Effect in Undoped Cuprates
• Controllable Goos-Hänchen shifts and spin beam splitter for ballistic electrons in a parabolic quantum well under a uniform magnetic field
• Intrinsic spin-momentum dynamics of surface electromagnetic waves in complex dispersive system
• Exceptional points in anisotropic planar microcavities
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• Enhanced spin-orbit optical mirages from dual nanospheres
• Role of transverse-momentum currents in the optical Magnus effect in free space
• Gain-assisted control of the photonic spin Hall effect
• On the Hamiltonian nature of semiclassical equations of motion in the presence of an electromagnetic field and Berry curvature
• Dynamical Diffraction Theory for Wave Packet Propagation in Deformed Crystals
• Anomalous Hall Effect in non-commutative mechanics
• Semiclassical analysis of Dirac fields on curved spacetime
• Extending geometrical optics: A Lagrangian theory for vector waves
• Weak measurements of a large spin angular splitting of light beam on reflection at Brewster angle
• Engineering photonic environments for two-dimensional materials
• Transverse Shift in Andreev Reflection
• Pseudo-magnetic field and effective spin-orbit interaction for a spin-1/2 particle confined to a curved surface
• Polarization-dependent transformation of a paraxial beam upon reflection and refraction: a real-space approach
• Generalized Berry phase for a bosonic Bogoliubov system with exceptional points
• Weak-value amplification forWeyl-point separation in momentum space
• Asymmetry and spin-orbit coupling of light scattered from subwavelength particles
• Polarization manipulation of giant photonic spin Hall effect using wave-guiding effect
• High-Harmonic Generation and Spin-Orbit Interaction of Light in a Relativistic Oscillating Window
• Gravitational birefringence of light in Robertson-Walker cosmologies
• Photonic spin Hall effect in Haldane model materials
• Worldsheet Formalism for Decoupling Limits in String Theory
• Realization of exciton-mediated optical spin-orbit interaction in organic microcrystalline resonators
• Cavity-enhanced optical Hall effect in two-dimensional free charge carrier gases detected at terahertz frequencies
• Shift vector as the geometric origin of beam shifts
• Lagrangian geometrical optics of nonadiabatic vector waves and spin particles
• Imbert-Fedorov shift in Weyl semimetals: Dependence on monopole charge and intervalley scattering
• Gravitational Faraday and Spin-Hall Effects of Light
• Fermi arc induced vortex structure in Weyl beam shifts
• Recursive Diagonalization of Quantum Hamiltonians to all order in $\hslash$
• Observation of nonspecular effects for Gaussian Schell-model light beams
• The physical origins of extreme cross-polarization extinction in confocal microscopy
• Dirac surface states in magnonic analogs of topological crystalline insulators
• Electrically tunable topological transport of moiré polaritons
• Spin-orbit interaction of light and diffraction of polarized beams
• Intrinsic non-adiabatic topological torque in magnetic skyrmions and vortices
• Finsler Spinoptics
• Spin Hall Effect of Excitons
• Frequency- and polarization-dependent lensing of gravitational waves in strong gravitational fields
• Improved theory for the polarization-dependent transverse shift of a paraxial light beam in free space
• Spin/momentum properties of the paraxial optical beams
• Plasmon geometric phase and plasmon Hall shift
• Surface angular momentum of light beams
• Paraxial spin transport using the Dirac-like paraxial wave equation
• Representation theory for vector electromagnetic beams
• Electromagnetic wave propagating along a space curve
• Polariton Hall Effect in Transition-Metal Dichalcogenides
• Spin and Orbital Rotation of Electrons and Photons via Spin-Orbit Interaction
• Joint effect of polarization and the propagation path of a light beam on its intrinsic structure
• Spin-polarized Voltages on a 2D Self-assembled Plasmonic Crystal
• Probing general relativistic spin-orbit coupling with gravitational waves from hierarchical triple systems
• Anomalous spatial shifts in interface electronic scattering
• Geometric optics of Bloch waves in a chiral and dissipative medium
• Spin-orbit interaction of photons and fine splitting of levels in ring dielectric resonator
• Spin Hall effects in the sky
• Unconventional pairing induced anomalous transverse shift in Andreev reflection
• Wide-angle giant photonic spin Hall effect
• Lorentz transformations, sideways shift and massless spinning particles
• Geometric aspects of phonon polarization transport
• Unified Semi-Classical Description of Intrinsic Spin-Hall Effect in Spintronic, Optical, and Graphene Systems
• Weyl geometric effects on the propagation of light in gravitational fields
• Berry effect in acoustical polarization transport in phononic crystals
• Anomalous Geometric Spin Hall Effect of Light?
• Photonic spin Hall effect from quantum kinetic theory in curved spacetime
• Berry curvature for coupled waves of magnons and electromagnetic waves
• Time Translation Symmetry Breaking in an Isolated Spin-Orbit-Coupled Fluid of Light
• Black hole mirages: electron lensing and Berry curvature effects in inhomogeneously tilted Weyl semimetals
• Role of the absorption on the spin-orbit interactions of light with Si nano-particles
• Static synthetic gauge field control of double optomechanically induced transparency in a closed-contour interaction scheme
• Optical Singularity Dynamics and Spin-Orbit Interaction due to a Normal-Incident Optical Beam Reflected at a Plane Dielectric Interface
• Imbert-Fedorov shift in pseudospin-$N/2$ semimetals and nodal-line semimetals
• Photon position eigenvectors, Wigner's little group and Berry's phase
• Fragility of ${\mathcal{Z}}_2$ topological invariant characterizing triplet excitations in a bilayer kagome magnet
• Classical Emergence of Intrinsic Spin-Orbit Interaction of Light at the Nanoscale
• Polarization transport in optical fibers beyond Rytov's law
• Chiral anomaly in non-relativistic systems: Berry curvature and chiral kinetic theory
• Unified Dynamics of Electrons and Photons via Zitterbewegung and Spin-Orbit Interaction
• Spin polarization separation of reflected light at Brewster angle
• Spin Hall Effect For Anyons
• Berry Effect in Unmagnetized Inhomogeneous Cold Plasmas
• Focused linearly-polarized light scattering from a silver nanowire: Experimental characterization of optical spin-Hall effect
• Elastic Spin Hall effect in Mechanical Graphene
• Precession Optomechanics
• Extended symmetries in geometrical optics
• Topological aspects in the photonic crystal analog of single-particle transport in quantum Hall systems
• Spin-orbit interaction in nanofiber-based Brillouin scattering
• Chiral kinetic theory with self-energy corrections and neutrino spin Hall effect
• Generic Optical Singularities in Brewster-reflected Post-paraxial Beam-fields
• Spin Hall effect of radiofrequency waves in magnetized plasmas
• The propagation of a polarized Gaussian beam in a smoothly inhomogeneous isotropic medium
• High-Sensitivity Characterization of Ultra-Thin Atomic Layers using Spin-Hall Effect of Light
• Generalized Matrix Transformation Formalism for Reflection and Transmission of Complex Optical Waves at a Plane Dielectric Interface
• Coulomb drag in topological materials
• The Design for a Nanoscale Single-Photon Spin Splitter
• Generic Optical Singularities and Beam-field Phenomena due to General Paraxial Beam Reflection at a Plane Dielectric Interface
• Symmetry-protected difference between spin Hall and anomalous Hall effects of a periodically driven multiorbital metal
• Chiral magnetic effect of light
• Higher-order geometric phase for qubits in a bichromatic field
• Deflection of a reflected intense circularly polarized light beam induced by asymmetric radiation pressure
• Goos-Hänchen Shift and Photonic Spin Hall Effect in Semi-Dirac Material Heterostructures
• Nonlinear quantum optics for spinor slow light
• Orbital angular momentum induced by nonabsorbing optical elements through space-variant polarization-state manipulations
• Photonic Spin Hall Effect using bilayer Graphene in Nano Optomechanical Cavities
• Paraxial propagation in amorphous optical media with screw dislocation
• Theory for electrical detection of the magnon Hall effect induced by dipolar interactions
• Geometric phase for twisted light
• Scattering of relativistic electrons and analogies with optical phenomena: A study of longitudinal and transverse shifts at step potentials
• An overview of the gravitational spin Hall effect
• Polarized Spinoptics and Symplectic Physics
• Testing the Wave-Particle Duality of Gravitational Wave Using the Spin-Orbital-Hall Effect of Structured Light
• Transverse Shifts in Paraxial Spinoptics
• Role of Azimuthal Energy Flows in the Geometric Spin Hall Effect of Light
• Ballistic electron transport in wrinkled superlattices
• Induced Berry Connection and Photonic Spin Hall Effect in Optical Dirac Theory
• Straightening of light in a one dimensional dilute photonic crystal
• Tunable giant two-dimensional optical beam shift from a tilted linear polarizer
• Variation of polarization distribution of reflected beam caused by spin separation
• Anomalous Hall effect driven by dipolar spin waves in uniform ferromagnets
• Rotational spin Hall effect in a uniaxial crystal
• Many-body spin Hall effect with space-inversion symmetry
• Geometric phase and a nonreciprocal spin wave circular polarizer
• The covariance of chiral fermions theory
• Paraxial propagation in disclinated amorphous media
• Transverse Shifts and Time Delays of Spatiotemporal Vortex Pulses Reflected and Refracted at a Planar Interface
• Designer spin-orbit superlattices: symmetry-protected Dirac cones and spin Berry curvature in two-dimensional van der Waals metamaterials
• Coherent control of optical spin-to-orbital angular momentum conversion in metasurface
• Spin Hall effect of light under arbitrarily polarized and unpolarized light
• Frequency Domain Berry Curvature Effect on Time Refraction
• A Quantum Mechanical Approach To The Polarization Transport of Photons
• Resonant Spin Hall Effect of Light in Random Photonic Arrays
• Power efficiency of Hall-like devices: comparison between reciprocal and anti-reciprocal Onsager relations
• Spin photonics and spin-photonic devices with dielectric metasurfaces
• Photonic spin Hall effect for precision metrology
• Propagation of light through amplifying honeycomb photonic lattice
• Geometric phase associated with Poincaré beams due to unfolding of fractional optical vortex beams
• Enhanced spin hall effect of reflected light due to Optical Tamm states with Dirac semimetal at the terahertz range
• Broadband Optical Fully Differential Operation Based on the Spin-orbit Interaction of Light
• Hidden Momentum and the Absence of the Gravitational Spin Hall Effect in a Uniform Field
• Brownian spin-locking effect
• Controllable spin-Hall and related effects of light in an atomic medium via coupling fields
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
• Topological Invariant for Bosonic Bogoliubov-de Gennes Systems with Disorder
• Transverse photon spin beyond interfaces
• Spatio-Temporal Weak Measurement of Chiral Ultra short Laser Pulse
• Spin Hall effects and the localization of massless spinning particles
• Tailoring propagation of light via spin-orbit interactions in correlated disorder
• Photonic quantum Hall effects
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets
• Optically active beams: non-reciprocal optical activity in free space induced by spin-orbital interaction of light
• Spin-orbit interaction in a high-power laser irradiated micro-scale plasma waveguide
• Fine Structures of Berry Curvature and Unquantized Valley Chern Numbers in Valley Photonic Crystals
• Spiraling light: from donut modes to a Magnus effect analogy
• The spin-orbit interaction and the spin-spin interaction of photons in an inhomogeneous medium