Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space

Abstract

Efforts to find the magnetic monopole in real space have been made in cosmic rays and in accelerators, but up to now there is no firm evidence for its existence due to the very heavy mass $\sim 10^{16}$GeV. However, we show that the magnetic monopole can appear in the crystal-momentum space of solids in the accessible low energy region ($\sim 0.1-1$eV) in the context of the anomalous Hall effect. We report experimental results together with first-principles calculations on the ferromagnetic crystal SrRuO${}_3$ that provide evidence for the magnetic monopole in the crystal-momentum space.

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References in corpus (4)

• Anomalous Hall effect in ferromagnetic semiconductors
• Quantized Anomalous Hall Effect in Two-Dimensional Ferromagnets - Quantum Hall Effect from Metal -
• Berry phase in Magnetic Superconductors
• Infrared magneto-optical properties of (III,Mn)V ferromagetic semiconductors

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• Nonlinear and nonreciprocal transport effects in untwinned thin films of ferromagnetic Weyl metal SrRuO${}_3$
• Nonlinear anomalous transverse responses induced by Berry curvature quadrupole in systems with broken time-reversal symmetry
• Pressure tuning of intrinsic and extrinsic sources to the anomalous Hall effect in CrGeTe${}_3$
• Giant Chern number of a Weyl nodal surface without upper limit
• Transverse force generated by an electric field and transverse charge imbalance in spin-orbit coupled systems
• Crossover behavior in the magnetoresistance of thin flakes of the topological material ZrTe5
• Topological properties of non-centrosymmetric superconductors $T$Ir${}_2$B${}_2$ ($T$=Nb, Ta)
• Strongly Ideal Robust Weyl Semimetals in Cubic Symmetry with Spatial-Inversion Breaking
• Theory of AC Anomalous Hall Conductivity in d-electron systems
• Appearance of Gauge Fields and Forces beyond the adiabatic approximation
• The Anomalous Hall Effect in Magnetic Topological Insulators
• Magnon dispersion in ferromagnetic SrRuO${}_3$
• Quantum Internal Structure of Plasmons
• Topology change from a monopole to a dipole in Berry's phase
• Shubnikov-de Haas and de Haas-van Alphen oscillations in topological semimetal CaAl4
• Stark difference in the in-plane anomalous Hall response in Zintl compounds EuA2Sb2 (A = Zn, Cd) thin films
• Current-induced magnetization reversal in SrRuO3
• No anomalous canonical commutators induced by Berry's phase
• Chiral gauge field in fully-spin polarized Weyl semimetal with magnetic domain walls
• Ferromagnetic state with large magnetic moments realized in epitaxially strained Sr3Ru2O7 films
• Multifunctional Oxides for Topological Magnetic Textures by Design
• Quasiparticle interference from different impurities on the surface of pyrochlore iridates: signatures of the Weyl phase
• Berry's phase and chiral anomalies
• Electronic band structure of (111) $SrRu{O}_3$ thin film$-$an angle-resolved photoemission spectroscopy study
• Thermally assisted current-induced magnetization reversal in SrRuO3
• Quantum Anomalous Hall Effect in $d$-Electron Kagome Systems: Chern Insulating States from Transverse Spin-Orbit Coupling
• Nearly-room-temperature ferromagnetism and tunable anomalous Hall effect in atomically thin Fe4CoGeTe2
• Giant non-volatile electric field control of proximity induced magnetism in the spin-orbit semimetal SrIrO3
• Generating Weyl semimetals from alkali metals
• Infinite-dimensional representations of the rotation group and Dirac's monopole problem
• Faraday's law in the presence of magnetic monopoles
• Giant anomalous Hall effect from spin-chirality scattering in a chiral magnet
• Observation of the In-plane Anomalous Hall Effect induced by Octupole in Magnetization Space
• Topological monopole's gauge field induced anomalous Hall effect in artificial honeycomb lattice
• Maxwell Equations with Accounting of Tensor Properties of Time
• On the angular dependence of anomalous Hall current
• Magnetic-Field and Strain Engineering of Modulated Transverse Transport in Altermagnetic Topological Materials
• Probing magnetic anisotropy in Kagome antiferromagnetic Mn${}_3$Ge with torque magnetometry
• Absence of strong skew scattering in crystals with multi-sheeted Fermi surfaces
• Weyl systems: anomalous transport normally explained
• Metal-insulator transitions in pyrochlore oxides
• Nernst Thermopower of Time-Reversal Breaking Type-II Weyl Semimetals
• Giant anomalous Hall conductivity in frustrated magnet EuCo2Al9
• A path integral derivation of the equations of anomalous Hall effect
• Nonassociativity, Dirac monopoles and Aharonov-Bohm effect
• Topological Hall effect enhanced at magnetic transition fields in a frustrated magnet EuCd${}_2$
• Momentum-space dynamics of Dirac quasiparticles in correlated random potentials: Interplay between dynamical and Berry phases
• Tunable Giant Anomalous Hall in a Kondo Lattice Ferromagnet UBiTe
• Electrical Seebeck-Contrast Observation of Magnon Hall Effect in Topological Ferromagnet Lu${}_2$V${}_2$O${}_7$/Heavy Metal Heterostructures
• Highly anisotropic geometrical Hall effect via f-d exchange fields in doped pyrochlore molybdates
• The Anomalous Hall Effect
• Terahertz magneto-optical response in ferromagnetic Fe-Co-Al alloys
• Lie Particle And Its Batalin-Tyutin Extension
• Universal dynamics of magnetic monopoles in two-dimensional kagomé ice
• Lensing of Dirac monopole in Berry's phase
• Direct probing of band-structure Berry phase in diluted magnetic semiconductors
• Sign competing sources of Berry curvature and anomalous Hall conductance humps in topological ferromagnets
• Unconventional two-dimensional quantum oscillations in three-dimensional thick SrRuO${}_3$ films
• Monopole Antimonopole Instability in Non-Hermitian Coupled Waveguides
• Dynamics of semiclassical Bloch wave - packets
• Monopole Field Textures in Interacting Spin Systems
• Magnetic monopole induced polarons in atomic superlattices
• Subband anticrossing and the spin Hall effect in quantum wires
• Nonvolatile ferroelectric field control of the anomalous Hall effect in BiFeO3/SrRuO3 bilayer
• Synthetic half-integer magnetic monopole and single-vortex dynamics in spherical Bose-Einstein condensates
• Emergent spacetime from a Berry-inspired dynamical gauge field coupled to electromagnetism
• Comment on Jackson's analysis of electric charge quantization due to interaction with Dirac's magnetic monopole
• Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space
• On the gauge transformation for the rotation of the singular string in the Dirac monopole theory
• Calculation of Berry curvature using nonorthogonal atomic orbitals
• Magnetic topological Weyl fermions in half-metallic In${}_2$CoSe${}_4$
• Nodal Line Topological Superfluid and Multiply Protected Majorana Fermi Arc in a Three-Dimensional Time-Reversal-Invariant Superfluid Model
• Solenoidality of a Magnetic Induction Field and Conservation of Total Momentum
• Fermionic Order by Disorder in a van der Waals Antiferromagnet
• Synthetic Weyl points in generalized parameter space and their topological properties
• Observations of 't Hooft's sublattices and Dirac's monopole by inhomogeneous phases of solitons
• High-sensitivity of initial SrO growth on the residual resistivity in epitaxial thin films of SrRuO${}_3$ on SrTiO${}_3$ (001)
• Fermi Surface Geometry
• Electrical Conductivity in Quantum Materials
• Quantum geometric tensor in systems with fractional band dispersion
• Magneto-cubic and magneto-linear dependence observed in an in-plane anomalous Hall magnet
• Spin in Uniform Gravity, Hidden Momentum, and the Anomalous Hall Effect
• A Fermi Surface Descriptor Quantifying the Correlations between Anomalous Hall Effect and Fermi Surface Geometry
• Fluidic Endogenous Magnetism and Magnetic Monopole Clues from Liquid Metal Droplet Machine