Intrinsic Spin and Orbital Hall Effects in<i>d</i>- and<i>f</i>-Electron Systems

Kontani, Hiroshi; Tanaka, Tomoyasu; Naito, Masayasu; Hirashima, Dai S.; Yamada, Kōsaku; Inoue, Jun–ichiro

doi:10.1143/jpsjs.77sa.275

Cited by 11 publications

(42 citation statements)

References 14 publications

(17 reference statements)

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“…After KL, theories of the intrinsic AHE [12,13,14,15,16,17,18,19,20,21,22,23] and the intrinsic SHE [5,6,7,8,24,25,26] have been improved based on several specific theoretical models. Kontani and Yamada [15] studied the intrinsic AHE based on the periodic Anderson model by considering the SOI unperturbatively.…”

Section: Introductionmentioning

confidence: 99%

“…In fact, authors in ref. [7] presented the first report on the theoretical study of SHE in transition metal compound Sr 2 RuO 4 , which has no Dirac cone type dispersion at the Fermi level. They had found that the origin of the huge Hall effect is the "effective Aharonov-Bohm (AB) phase" induced by d-orbital degrees of freedom, which are absent in semiconductors and in graphene.…”

Section: Introductionmentioning

confidence: 99%

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Intrinsic spin Hall effect and orbital Hall effect in4dand5dtransition metals

et al. 2008

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We study the intrinsic spin Hall conductivity (SHC) in various 5d-transition metals (Ta, W, Re, Os, Ir, Pt, and Au) and 4d-transition metals (Nb, Mo, Tc, Ru, Rh, Pd, and Ag) based on the Naval Research Laboratory tight-binding model, which enables us to perform quantitatively reliable analysis. In each metal, the obtained intrinsic SHC is independent of resistivity in the low resistive regime (ρ < 50µΩcm) whereas it decreases in proportion to ρ −2 in the high resistive regime. In the low resistive regime, the SHC takes a large positive value in Pt and Pd, both of which have approximately nine d-electrons per ion (n d = 9). On the other hand, the SHC takes a large negative value in Ta, Nb, W, and Mo where n d < 5. In transition metals, a conduction electron acquires the trajectory-dependent phase factor that originates from the atomic wavefunction. This phase factor, which is reminiscent of the Aharonov-Bohm phase, is the origin of the SHC in paramagnetic metals and that of the anomalous Hall conductivity in ferromagnetic metals. Furthermore, each transition metal shows huge and positive d-orbital Hall conductivity (OHC), independently of the strength of the spin-orbit interaction (SOI). Since the OHC is much larger than the SHC, it will be possible to realize a orbitronics device made of transition metals.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Intrinsic spin Hall effect and orbital Hall effect in4dand5dtransition metals

et al. 2008

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“…In ref. [3], we presented the first report on the theoretical study of the SHE in transition metals: They have shown that the anomalous velocity due to the atomic degrees of freedom gives rise to the large SHC comparable to the experimetal values. Therefore, analyses based on the multiorbital tight-binding model are indipensible to elucidate the origin of the huge SHC in transition metals.…”

Section: Introductionmentioning

confidence: 79%

“…′ sin k y cos k x is called the "anomalous velocity", which is the origin of the Hall effects [3,6]. Since v a x has the same symmetry as k y , v a x v y can remain finite after the k-summations.…”

Section: Introductionmentioning

confidence: 99%

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Spin Hall effect in Sr2RuO4 and transition metals (Nb,Ta)

Tanaka

Kontani

Naito

et al. 2008

Journal of Physics and Chemistry of Solids

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We study the intrinsic spin Hall conductivity (SHC) and the d-orbital Hall conductivity (OHC) in metallic d-electron systems based on the multiorbital tight-binding model. The obtained Hall conductivities are much larger than that in p-type semiconductors. The origin of these huge Hall effects is the "effective Aharonov-Bohm phase" induced by the signs of inter-orbital hopping integrals as well as atomic spin-orbit interaction. Huge SHC and OHC due to this mecahnism is ubiquitous in multiorbital transition metals.

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Symmetry-protected difference between spin Hall and anomalous Hall effects of a periodically driven multiorbital metal

Arakawa

Yonemitsu

2023

Commun Phys

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Nonequilibrium quantum states can be controlled via the driving field in periodically driven systems. Such control, which is called Floquet engineering, has opened various phenomena, such as the light-induced anomalous Hall effect. There are expected to be some essential differences between the anomalous Hall and spin Hall effects of periodically driven systems because of the difference in time-reversal symmetry. However, these differences remain unclear due to the lack of Floquet engineering of the spin Hall effect. Here we show that when the helicity of circularly polarized light is changed in a periodically driven t2g-orbital metal, the spin current generated by the spin Hall effect remains unchanged, whereas the charge current generated by the anomalous Hall effect is reversed. This difference is protected by the symmetry of a time reversal operation. Our results offer a way to distinguish the spin current and charge current via light and could be experimentally observed in pump-probe measurements of periodically driven Sr2RuO4.

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Intrinsic Spin and Orbital Hall Effects ind- andf-Electron Systems

Cited by 11 publications

References 14 publications

Intrinsic spin Hall effect and orbital Hall effect in4dand5dtransition metals

Intrinsic spin Hall effect and orbital Hall effect in4dand5dtransition metals

Spin Hall effect in Sr2RuO4 and transition metals (Nb,Ta)

Symmetry-protected difference between spin Hall and anomalous Hall effects of a periodically driven multiorbital metal

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