Intrinsic anomalous Hall effect in ferromagnetic metals studied by the multi d-orbital tight-binding model

Abstract

To elucidate the origin of anomalous Hall effect (AHE) in ferromagnetic transition metals, we study the intrinsic AHE based on a multi-orbital (xz,yz)-tight-binding model. We find that a large anomalous velocity comes from the off-diagonal (inter-orbital) hopping. By this reason, the present model shows a large intrinsic anomalous Hall conductivity (AHC) which is compatible with typical experimental values in ferromagnets [100-1000 [1/Ωcm]], without necessity to assume a special band structure at the Fermi level. In good metals where resistivity ρis small, the intrinsic AHC is constant (dissipation-less) as found by Karplus and Luttinger. In bad metals, however, we find that the AHC is proportional to ρ^{-2} when \hbar/2τis larger than the minimum band-splitting measured from the Fermi level. This crossover behavior of the intrinsic AHE, which was first derived in J. Phys. Soc. Jpn. 63 (1994) 2627, is recently observed in various ferromagnetic metals universally by A. Asamitsu et al. We also stress that the present (xz,yz)-tight binding model shows a huge spin Hall effect in a paramagnetic state.

13 pages, to be published in Phys. Rev. B (2007)

References in corpus (7)

• Dissipationless Quantum Spin Current at Room Temperature
• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Charge and spin Hall conductivity in metallic graphene
• Vertex Corrections on the Anomalous Hall Effect in Spin-polarized Two-dimensional Electron Gases with Rashba Spin-orbit Interaction
• Studies of the Anomalous Hall Effect and Magnetic Structure of Nd2Mo2O7 -Test of the Chirality Mechanism-

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