Ab Initio Theory of Scattering-Independent Anomalous Hall Effect

Abstract

We report on first-principles calculations of the side-jump contribution to the anomalous Hall conductivity (AHC) directly from the electronic structure of a perfect crystal. We implemented our approach for a short-range scattering disorder model within the density functional theory and computed the full scattering-independent AHC in elemental bcc Fe, hcp Co, fcc Ni, and L1o FePd and FePt alloys. The full AHC thus calculated agrees systematically with experiment to a degree unattainable so far, correctly capturing the previously missing elements of side-jump contributions, hence paving the way to a truly predictive theory of the anomalous Hall effect and turning it from a characterization tool to a probing tool of multi-band complex electronic band structures.

PRL in press

References in corpus (8)

• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Universal Scaling Behavior of Anomalous Hall Effect and Anomalous Nernst Effect in Itinerant Ferromagnets
• Spectral and Fermi surface properties from Wannier interpolation
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Maximally Localized Wannier Functions within the FLAPW formalism
• Wannier-function approach to spin excitations in solids
• Anomalous Hall Effect in Disordered Multiband Metals
• Effective Magnetic Monopoles and Universal Conductance Fluctuations

Cited by in corpus (33)

• Observation of the Anomalous Hall Effect in a Collinear Antiferromagnet
• Spin-orbit torques in Co/Pt(111) and Mn/W(001) magnetic bilayers from first principles
• Real-Space and Reciprocal-Space Berry Phases in the Hall Effect of Mn${}_{1-\mathrm{x}}$Fe${}_{\mathrm{x}}$Si
• Dzyaloshinskii-Moriya interaction and Hall effects in the skyrmion phase of MnFeGe alloys
• Chemical Composition Tuning of the Anomalous Hall Effect in Isoelectronic L10 FePd1-xPtx Alloy Films
• Thickness dependence of the anomalous Hall effect in thin films of the topological semimetal Co${}_2$MnGa
• Phase-Space Berry Phases in Chiral Magnets: Dzyaloshinskii-Moriya Interaction and the Charge of Skyrmions
• High spin polarization of the anomalous Hall current in Co-based Heusler compounds
• Scattering-Independent Anomalous Nernst Effect in Ferromagnets
• Transition from Intrinsic to Extrinsic Anomalous Hall Effect in the Ferromagnetic Weyl Semimetal PrAlGe${}_{1-x}$Si${}_x$
• Skew scattering in dilute ferromagnetic alloys
• A first-principles linear response description of the spin Nernst effect
• Supplemental Material to "A first-principles linear response description of the spin Nernst effect"
• Frequency-independent terahertz anomalous Hall effect in DyCo${}_5$, Co${}_{32}$Fe${}_{68}$ and Gd${}_{27}$Fe${}_{73}$ thin films from DC to 40 THz
• Hall effect in heavy-fermion metals
• Valley Hall effect in disordered monolayer MoS2 from first principles
• Scaling parameters in anomalous and nonlinear Hall effects depend on temperature
• Anomalous Hall effect in ferromagnets with Gaussian disorder
• Anomalous and spin Hall effects in hcp cobalt from GGA + U calculations
• Unconventional anomalous Hall effect in 3d/5d multilayers mediated by the nonlocal spin-conductivity
• Anisotropy of spin relaxation and transverse transport in metals
• Chiral damping, chiral gyromagnetism and current-induced torques in textured one-dimensional Rashba ferromagnets
• Magneto-electric and thermo-magneto-electric effects in ferromagnetic transition-metal alloys from first-principles
• Theory of phonon side jump contribution in Anomalous Hall transport
• Evidence of the side jump mechanism in the anomalous Hall effect in paramagnets
• Anomalous thermal Hall effect in the topological antiferromagnetic state
• First-principles evaluation of intrinsic, side-jump, and skew-scattering parts of anomalous Hall conductivities in disordered alloys
• Influence of complex disorder on skew-scattering Hall effects in $L{1}_0$-ordered FePt alloy
• The anti-ordinary Hall effect in NiPt thin films
• Unified First-Principles Study of the Anomalous Hall Effect Based on Exact Muffin-Tin Orbitals
• Disorder- and Topology-Enhanced Fully Spin-Polarized Currents in Nodal Chain Spin-Gapless Semimetals
• Tunable anomalous Hall and Nernst effects in MM'X compounds
• Emergence of electromotive force in precession-less rigid motion of deformed domain wall