A hidden constant in the anomalous Hall effect of a high-purity magnet MnSi

Abstract

Measurements of the Hall conductivity in MnSi can provide incisive tests of theories of the anomalous Hall (AH) effect, because both the mean-free-path and magnetoresistance (MR) are unusually large for a ferromagnet. The large MR provides an accurate way to separate the AH conductivity ${\sigma }_{xy}^A$ from the ordinary Hall conductivity ${\sigma }_{xy}^N$. Below the Curie temperature $T_C$, ${\sigma }_{xy}^A$ is linearly proportional to $M$ (magnetization) with a proportionality constant $S_H$ that is independent of both $T$ and $H$. In particular, $S_H$ remains a constant while ${\sigma }_{xy}^N$ changes by a factor of 100 between 5 K and $T_C$. We discuss implications of the hidden constancy in $S_H$.

arXiv comment5 pages, 4 figures. Minor changes

References in corpus (12)

• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Anomalous Hall effect in ferromagnetic semiconductors
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
• Topological Nature of Anomalous Hall Effect in Ferromagnet
• Linear magnetization dependence of the intrinsic anomalous Hall effect
• Large Anomalous Hall effect in a silicon-based magnetic semiconductor
• Dissipationless Anomalous Hall Current in the Ferromagnetic Spinel CuCr${}_2$Se${}_{4-x}$Br${}_x$
• Scaling of the anomalous Hall effect in Sr${}_{1-x}$Ca${}_x$RuO${}_3$
• Anomalous Hall effect in a two-dimensional electron gas with spin-orbit interaction
• Testing the Berry phase model for extraordinary Hall effect in SrRuO3

Cited by in corpus (66)

• Anomalous Hall effect
• Topological Hall effect in the A-phase of MnSi
• Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet
• The development of ferromagnetism in the doped topological insulator Bi2-xMnxTe3
• Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
• Unusual Hall Effect Anomaly in MnSi Under Pressure
• Spin-Wave Modes and Their Intense Excitation Effects in Skyrmion Crystals
• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Robust formation of skyrmions and topological Hall effect in epitaxial thin films of MnSi
• Structure and Topology of Band Structures in the 1651 Magnetic Space Groups
• Natural van der Waals heterostructural single crystals with both magnetic and topological properties
• Current-Driven Dynamics of Skyrmions Stabilized in MnSi Nanowires Revealed by Topological Hall Effect
• Formation of a topological non-Fermi liquid in MnSi
• Real-Space and Reciprocal-Space Berry Phases in the Hall Effect of Mn${}_{1-\mathrm{x}}$Fe${}_{\mathrm{x}}$Si
• Giant generic topological Hall resistivity of MnSi under pressure
• Skyrmion Generation by Current
• The anomalous Hall Effect and magnetoresistance in the layered ferromagnet Fe_{1/4}TaS_2: the inelastic regime
• Giant $c$-axis nonlinear anomalous Hall effect in T${}_d$-MoTe${}_2$ and WTe${}_2$
• Dzyaloshinskii-Moriya interaction and Hall effects in the skyrmion phase of MnFeGe alloys
• Chirality induced anomalous-Hall effect in helical spin crystals
• Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host
• A new noncollinear ferromagnetic Weyl semimetal with anisotropic anomalous Hall effect
• Anomalous Hall resistivity and possible topological Hall effect in the EuAl${}_4$ antiferromagnet
• Phase-Space Berry Phases in Chiral Magnets: Dzyaloshinskii-Moriya Interaction and the Charge of Skyrmions
• Disorder-Induced Elevation of Intrinsic Anomalous Hall Conductance in an Electron-Doped Magnetic Weyl Semimetal
• Unconventional transverse transport above and below the magnetic transition temperature in Weyl semimetal EuCd${}_2$As${}_2$
• Dynamical magnetoelectric phenomena of multiferroic skyrmions
• Anomalous electrical magnetochiral effect by chiral spin fluctuation
• Magnetic, thermodynamic, and electrical transport properties of the noncentrosymmetric B20 germanides MnGe and CoGe
• Observation of a mesoscopic magnetic modulation in chiral Mn1/3NbS2
• Large anomalous Hall effect in a hexagonal ferromagnetic Fe5Sn3 single crystal
• Exceptionally large anomalous Hall effect due to anticrossing of spin-split bands in the antiferromagnetic half-Heusler compound TbPtBi
• Out-of-Plane Spin-Orientation Dependent Magnetotransport Properties in the Anisotropic Helimagnet Cr${}_{1/3}$NbS${}_2$
• Momentum-space and real-space Berry curvatures in Mn${}_3$Sn
• Observation of Topological Hall Effect and Signature of Room Temperature Antiskyrmions in Mn-Ni-Ga D2d Heusler magnets
• Superconducting spin valves controlled by spiral re-orientation in B20-family magnets
• Giant topological and planar Hall effect in Cr${}_{1/3}$NbS${}_2$
• Scrutinizing Hall effect in Mn${}_{1-x}$Fe${}_x$Si: Fermi surface evolution and hidden quantum criticality
• Effect of Negative Pressure on the Prototypical Itinerant Magnet MnSi
• Robust topological Hall effect driven by tunable noncoplanar magnetic state in Mn-Pt-In inverse tetragonal Heusler alloys
• Orientation Dependence of the Anomalous Hall Resistivity in Single Crystals of Yb14MnSb11
• Smectic to nematic transition of magnetic texture in conical state
• Room temperature ferromagnetism and anomalous Hall effect in Si_{1-x}Mn_x (x = 0.35) alloys
• Unusual magnetotransport and anomalous Hall effect in quasi-two-dimensional van der Waals ferromagnet Fe${}_4$GeTe${}_2$
• Chirality selective spin interactions mediated by the superconducting current
• Metamagnetic Transition in UCoAl Probed by Thermoelectricity Measurements
• Metamagnetic multiband Hall effect in Ising antiferromagnet ErGa${}_2$
• Magnetic critical behavior and anomalous Hall effect in 2H-Co${}_{0.22}$TaS${}_2$ single crystals
• Anomalous Nernst effect in the noncollinear antiferromagnet Mn${}_5$Si${}_3$
• Transverse field muon-spin rotation measurement of the topological anomaly in a thin film of MnSi
• Tuning intrinsic anomalous Hall effect from large to zero in two ferromagnetic states of SmMn2Ge2
• Magnetic phase diagram, magnetotransport and inverse magnetocaloric effect in the noncollinear antiferromagnet Mn${}_5$Si${}_3$
• Metamagnetism and anomalous magnetotransport properties in rare-earth-based polar semimetals $R$AuGe ($R=$ Dy, Ho, and Gd)
• Modification of unconventional Hall effect with doping at the non-magnetic site in a 2D van der Waals ferromagnet
• Disorder driven crossover between anomalous Hall regimes in Fe${}_3$GaTe${}_2$
• Field-tunable Weyl points and large anomalous Hall effects in degenerate magnetic semiconductor EuMg${}_2$Bi${}_2$
• Intrinsic anomalous Hall effect arising from antiferromagnetic structure revealed by high-quality NbMnP
• Vacancy-induced suppression of CDW order and its impact on magnetic order in kagome antiferromagnet FeGe
• Quasi-2D anomalous Hall Mott insulator of topologically engineered Jeff =1/2 electrons
• Nearly-room-temperature ferromagnetism and tunable anomalous Hall effect in atomically thin Fe4CoGeTe2
• Pecularities of Hall effect in GaAs/δ<Mn>/GaAs/In\timesGa1-\timesAs/GaAs (\times {\approx} 0.2) heterostructures with high Mn content
• Anomalous Hall effect in the antiferromagnetic Weyl semimetal SmAlSi
• Strain-tunable anomalous Hall effect in hexagonal MnTe
• Topological Hall Effect in PrSb${}_2$
• Evolution of magnetic bubble domains in the uniaxial ferromagnet CeRu${}_2$Ga${}_2$B inferred from the Hall effect and ac magnetic susceptibility
• Intrinsic Berry Curvature Driven Anomalous Hall and Nernst Effect in Co${}_2$MnSn