In spherical spin-3/2 Luttinger systems, the intrinsic orbital Hall effect is governed by the quantum metric through interband OMM matrix elements, while intraband Berry-curvature contributions vanish.
\ Kelly ,\ title title Orbital hall effect in transition metals from first-principles scattering calculations , \ 10.1103/PhysRevB.111.125121 journal journal Phys
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Intrinsic Orbital Hall Effect in Degenerate Spin-3/2 Systems driven by the quantum metric
In spherical spin-3/2 Luttinger systems, the intrinsic orbital Hall effect is governed by the quantum metric through interband OMM matrix elements, while intraband Berry-curvature contributions vanish.