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• W2084585449 abstract "To elucidate the intrinsic nature of anomalous Hall effect in $d$-electron systems, we study the ac anomalous Hall conductivity (AHC) in a tight-binding model with $({d}_{xz},{d}_{yz})$ orbitals. We drive an analytical expression for the ac AHC ${ensuremath{sigma}}_{xy}(ensuremath{omega})$, which is valid for finite quasiparticle damping rate $ensuremath{gamma}=ensuremath{hbar}/2ensuremath{tau}$, and find that the ac AHC is strongly dependent on $ensuremath{gamma}$. When $ensuremath{gamma}=+0$, the ac AHC shows a spiky peak at finite energy $ensuremath{Delta}$ that originates from the interband particle-hole excitation, where $ensuremath{Delta}$ represents the minimum band splitting measured from the Fermi level. In contrast, we find that this spiky peak is quickly suppressed when $ensuremath{gamma}$ is finite. By using a realistic value of $ensuremath{gamma}(ensuremath{omega})$ at $ensuremath{omega}=ensuremath{Delta}/2$ in $d$-electron systems, the spiky peak is considerably suppressed. In the present model, the obtained results also represent the ac spin Hall conductivity in a paramagnetic state." @default.
• W2084585449 created "2016-06-24" @default.
• W2084585449 creator A5013615457 @default.
• W2084585449 creator A5036646203 @default.
• W2084585449 date "2008-05-30" @default.
• W2084585449 modified "2023-09-23" @default.
• W2084585449 title "Theory of ac anomalous Hall conductivity ind-electron systems" @default.
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• W2084585449 doi "https://doi.org/10.1103/physrevb.77.195129" @default.
• W2084585449 hasPublicationYear "2008" @default.
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