Anomalous Hall effect in ferromagnetic semiconductors

Abstract

We present a theory of the anomalous Hall effect in ferromagnetic (Mn,III)V semiconductors. Our theory relates the anomalous Hall conductance of a homogeneous ferromagnet to the Berry phase acquired by a quasiparticle wavefunction upon traversing closed paths on the spin-split Fermi surface of a ferromagnetic state. It can be applied equally well to any itinerant electron ferromagnet. The quantitative agreement between our theory and experimental data in both (In,Mn)As and (Ga,Mn)As systems suggests that this disorder independent contribution to the anomalous Hall conductivity dominates in diluted magnetic semiconductors.

4 pages, 2 figures

References in corpus (1)

• Orbital ferromagnetism and anomalous Hall effect in antiferromagnets on distorted fcc lattice

Cited by in corpus (407)

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• Hall effect in heavy-fermion metals
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• Quantum kinetic equation in phase-space textured multiband systems
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• How disorder affects the Berry-phase anomalous Hall conductivity: the view from k space
• Noncommutative quantum mechanics and skew scattering in ferromagnetic metals
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• Disorder Induced Anomalous Hall Effect in Type-I Weyl Metals: Connection between the Kubo-Streda Formula in the Spin and Chiral basis
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• Dynamics of the Wigner Crystal of Composite Particles
• Theory of optical conductivity for dilute GaMnAs
• Wavepacket dynamics on Chern band lattices in a trap
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• Anomalous Hall conductivity and quantum friction
• Microscopic mechanisms of Strong Electron Scattering and Giant Anomalous Hall Effect in high-Curie-temperature Fe3GaTe2 van der Waals Films
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• Proper Definition of Intrinsic Nonlinear Current
• Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals
• Intrinsic and extrinsic anomalous transport properties in noncollinear antiferromagnetic Mn${}_3$Sn from first-principle calculations
• Magnetic susceptibilities of diluted magnetic semiconductors and anomalous Hall-voltage noise
• Interaction and filling-induced quantum anomalous Hall effect in ultra-cold neutral Bose-Fermi mixture on hexagonal lattice
• Berry phase of the composite Fermi-liquid
• A note on broken dilatation symmetry in planar noncommutative theory
• Extrinsic to intrinsic mechanism crossover of anomalous Hall effect in the Ir-doped MnPtSn Heusler system
• Orbital magnetization in dilute ferromagnetic semiconductors
• Spin accumulation from non-equilibrium first principles methods
• 5d orbital Induced Room Temperature Quantum Anomalous Hall Effect in TbCl
• Spin current in the Kondo lattice model
• Topology change from a monopole to a dipole in Berry's phase
• The Anomalous Hall Effect in Magnetic Topological Insulators
• Derivation of Semiclassical Kinetic Theory in the Presence of Non-Abelian Berry Curvature
• Unveiling the interplay of magnetic order and electronic band structure on the evolution of anomalous Hall effect in MnPtGa single crystal
• No anomalous canonical commutators induced by Berry's phase
• Optical properties, plasmons, and orbital Skyrme textures in twisted TMDs
• Electric field effect on electron gas spins in two-dimensional magnets with strong spin-orbit coupling
• Weak localization and Berry flux in topological crystalline insulators with a quadratic surface spectrum
• Berry's phase and chiral anomalies
• Magnetic field induced chiral particle-hole condensates
• Semiconductor Spintronics: Progress and Challenges
• A thermodynamic measure of the Magneto-electric coupling in the 3D topological insulator
• Quantum Transport Theory of Strongly Correlated Matter
• Quantum Anomalous Hall Effect in $d$-Electron Kagome Systems: Chern Insulating States from Transverse Spin-Orbit Coupling
• Hall conductivity in the presence of spin-orbit interaction and disorder
• Magnetic-Field and Strain Engineering of Modulated Transverse Transport in Altermagnetic Topological Materials
• A path integral derivation of the equations of anomalous Hall effect
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• Anomalous, anomalous Hall effect in the layered, Kagome, Dirac semimetal KV${}_3$Sb${}_5$
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• On the angular dependence of anomalous Hall current
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• Lensing of Dirac monopole in Berry's phase
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• Direct probing of band-structure Berry phase in diluted magnetic semiconductors
• A novel method to evaluate spin diffusion length of Pt
• Momentum-space Aharonov-Bohm interferometry in Rashba spin-orbit coupled Bose-Einstein condensates
• Semiclassical Landau quantization of spin-orbit coupled systems
• The Anomalous Hall Effect
• The evaluation of non-topological components in Berry phase and momentum relaxation time in a gapped 3D topological insulator
• Angular dependence of hump-shape Hall Effects for distinguishing between Karplus-Luttinger and Geometrical Origins
• Tunable linear and nonlinear anomalous Hall transport in two-dimensional CrPS${}_4$
• Anomalous Hall effect from nonlinear magnetoelectric coupling
• Nonequilibrium charge density wave ordering from anomalous velocity in itinerant helical magnets
• Non-Hermitian magnetic moment
• Anisotropy-Driven Anomalous Inverse Orbital Hall Effect in Fe Films
• Dynamical polarization and the optical response of silicene and related materials
• Strain-tunable anomalous Hall effect in hexagonal MnTe
• Bounds and anomalies of inhomogeneous anomalous Hall effects
• Emergent spacetime from a Berry-inspired dynamical gauge field coupled to electromagnetism
• Spin-dependent electron-impurity scattering in two-dimensional electron systems
• Subband anticrossing and the spin Hall effect in quantum wires
• Topological Properties of Bilayer $\alpha -T_3$ Lattice Induced by Polarized Light
• Unusual Multiple Magnetic Transitions and Anomalous Hall Effect Observed in Antiferromagnetic Weyl Semimetal, Mn${}_{2.94}$Ge (Ge-rich)
• Electrical Conductivity in Quantum Materials
• Calculation of Berry curvature using nonorthogonal atomic orbitals
• Sensitivity enhancement of an anomalous Hall effect magnetic sensor by means of second-order magnetic anisotropy
• Electric spin and valley Hall effects
• Accessing quasi-flat $\text{f}$-bands to harvest large Berry curvature in NdGaSi
• Electric-Field-induced Two-Dimensional Fully Compensated Ferrimagnetism and Emergent Transport Phenomena
• Orbital enhanced intrinsic nonlinear planar Hall effect for probing topological phase transition in CuTlSe${}_2$
• Type-II Weyl nodes, flat bands, and evidence for a topological Hall-effect in the new ferromagnet FeCr${}_3$Te${}_6$
• Stacking-dependent nonreciprocal transport in magnetic skyrmions
• Kagome edge states under lattice termination, spin-orbit coupling, and magnetic order
• Valley- and Orbital-Controlled 2D Chern Insulators Without Spin-orbit Interaction
• Revealing the non-adiabatic and non-Abelian multiple-band effects via anisotropic valley Hall conduction in bilayer graphene