Vorticity-induced anomalous Hall effect in an electron fluid

Funaki, Hiroshi; Toshio, Riki; Tatara, Gen

doi:10.1103/physrevresearch.3.033075

Cited by 11 publications

(15 citation statements)

References 44 publications

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“…In the context of magnetization-vorticity coupling, the same form of a nonconservative force with s replaced by magnetization was identified in Ref. [12].…”

Section: A Spin-vorticity Couplingmentioning

confidence: 78%

“…We first argue electron transport in a ferromagnetic metal with a uniform magnetization, i.e., the anomalous Hall system, studied from the hydrodynamic viewpoint in Ref. [12].…”

Section: Anomalous Hall Fluidmentioning

confidence: 99%

“…Such a coupling has been argued from the phenomenological ground [17] and derived microscopically [12]. It is regarded as a limit of spin-vorticity coupling where spin has a finite expectation value.…”

Section: Anomalous Hall Fluidmentioning

confidence: 99%

“…( 10), was presented by a microscopic calculation in Ref. [12]. The two contributions, conservative and nonconservative, to the vorticity-induced motive force leads to an anisotropic motive force with respect to the direction of M (see Sec.…”

Section: Anomalous Hall Fluidmentioning

confidence: 99%

“…Coarse grained behaviors of such disordered metals are described in terms of an ohmic fluid [10]. Hydrodynamic description of ohmic electron fluid was employed to describe angular momentum generation in chiral electron systems and anomalous Hall effect [11,12]. Hydrodynamic equations are conventionally represented in terms of current density j.…”

Section: Introductionmentioning

confidence: 99%

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Hydrodynamic theory of vorticity-induced spin transport

Tatara

2021

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Electron spin transport in a disordered metal is theoretically studied from the hydrodynamic viewpoint focusing on the role of electron vorticity. The spin-resolved momentum flux density of electrons is calculated taking account of the spin-orbit interaction and uniform magnetization, and the expression for the spin motive force is obtained as the linear response to a driving electric field. It is shown that the spin-resolved momentum flux density and motive force are characterized by troidal moments expressed as vector products of the applied external electric field and the spin polarization and/or magnetization. The spin-vorticity and magnetization-vorticity couplings studied recently are shown to arise from the toridal moments contribution to the momentum flux density. Spin motive force turns out to have a nonconservative contribution besides the conventional conservative one due to the spin-vorticity coupling. Spin accumulation induced by an electric field is calculated to demonstrate the direct relation between vorticity and induced spin, and the spin Hall effect is interpreted as due to the spin-vorticity coupling. The spin-vorticity coupling is shown to give rise to a vorticity-induced torque and a spin relaxation. The vorticity-induced torque is a linear effect of the spin-orbit interaction and is expected to be larger than the second-order torques such as nonadiabatic (β) current-induced torque due to magnetization structure. The intrinsic inverse spin Hall effect is argued to correspond to the antisymmetric components of the momentum flux density in the hydrodynamic context.

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“…In the context of magnetization-vorticity coupling, the same form of a nonconservative force with s replaced by magnetization was identified in Ref. [12].…”

Section: A Spin-vorticity Couplingmentioning

confidence: 78%

“…We first argue electron transport in a ferromagnetic metal with a uniform magnetization, i.e., the anomalous Hall system, studied from the hydrodynamic viewpoint in Ref. [12].…”

Section: Anomalous Hall Fluidmentioning

confidence: 99%