Anomalous hydrodynamic transport in interacting noncentrosymmetric metals

Toshio, Riki; Takasan, Kazuaki; Kawakami, Norio

doi:10.1103/physrevresearch.2.032021

Cited by 36 publications

(37 citation statements)

References 44 publications

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“…In general, the fluid can be even less symmetric, for example when the fluid is invariant under a discrete point group. This can happen when multiple external fields that are not parallel to each other are applied, or in electron fluids in crystals (Cook & Lucas 2019; Rao & Bradlyn 2020; Toshio, Takasan & Kawakami 2020; Varnavides et al. 2020).…”

Section: The Viscosity Tensor Of a Parity-violating Fluidmentioning

confidence: 99%

Stokes flows in three-dimensional fluids with odd and parity-violating viscosities

et al. 2022

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The Stokes equation describes the motion of fluids when inertial forces are negligible compared with viscous forces. In this article, we explore the consequence of parity-violating and non-dissipative (i.e. odd) viscosities on Stokes flows in three dimensions. Parity-violating viscosities are coefficients of the viscosity tensor that are not invariant under mirror reflections of space, while odd viscosities are those which do not contribute to dissipation of mechanical energy. These viscosities can occur in systems ranging from synthetic and biological active fluids to magnetized and rotating fluids. We first systematically enumerate all possible parity-violating viscosities compatible with cylindrical symmetry, highlighting their connection to potential microscopic realizations. Then, using a combination of analytical and numerical methods, we analyse the effects of parity-violating viscosities on the Stokeslet solution, on the flow past a sphere or a bubble and on many-particle sedimentation. In all the cases that we analyse, parity-violating viscosities give rise to an azimuthal flow even when the driving force is parallel to the axis of cylindrical symmetry. For a few sedimenting particles, the azimuthal flow bends the trajectories compared with a traditional Stokes flow. For a cloud of particles, the azimuthal flow impedes the transformation of the spherical cloud into a torus and the subsequent breakup into smaller parts that would otherwise occur. The presence of azimuthal flows in cylindrically symmetric systems (sphere, bubble, cloud of particles) can serve as a probe for parity-violating viscosities in experimental systems.

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Section: The Viscosity Tensor Of a Parity-violating Fluidmentioning

confidence: 99%

Stokes flows in three-dimensional fluids with odd and parity-violating viscosities

et al. 2022

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“…Its thermoelectric and thermal generalisations are the Magnus Nernst effect and Magnus thermal Hall effect [32]. The nonlinear Hall effect can also be generalised to the hydrodynamic regime [100], which describes the anomalous nonlinear/nonlocal responses under nonuniform hydrodynamic variables. A generalization to higher-order nonlinear Hall response has been proposed, which highlights the importance of the Berry curvature multipoles (the higher-order moments of the Berry curvature near the Fermi surface) [101].…”

Section: Generalisations To Other Nonlinear Transport Effectsmentioning

confidence: 99%

Nonlinear Hall Effects

Du,

Lu,

Xie

2021

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“…Indeed, a number of papers have addressed rich and novel phenomena due to crystal symmetries in the last few years [22][23][24][25][26][27][28][29][30][31][32]. For example, it was revealed that inversion symmetry breaking or TRS-breaking provokes anomalous hydrodynamic transport phenomena such as a generalized vortical effect [32][33][34] and a vorticity induced anomalous Hall effect [31,35], which do not emerge in usual fluids like water. However, the role of nonreciprocity in electron hydrodynamics has not been well investigated yet.…”

Section: Introduction-mentioning

confidence: 99%

“…While Ĉ was first derived in Ref. [32] and expresses an electric field induced torque especially for chiral systems [30], M and Ô are new geometrical tensors peculiar to the noncentrosymmetric fluids under magnetic fields, defined as…”

Section: Introduction-mentioning

confidence: 99%

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Nonreciprocal electron hydrodynamics under magnetic fields: Applications to nonreciprocal surface magnetoplasmons

2021

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Recent experiments have elucidated that novel nonequilibrium states inherent in the so-called hydrodynamic regime are realized in ultrapure metals with sufficiently strong momentum-conserving scattering. In this letter, we formulate a theory of electron hydrodynamics with broken inversion symmetry under magnetic fields and find that novel terms emerge in hydrodynamic equations which play a crucial role for the realization of the nonreciprocal responses. Specifically, we clarify that there exist a novel type of nonreciprocal collective modes dubbed nonreciprocal surface magnetoplasmons arising from an interplay between magnetic fields and the orbital magnetic moment. We reveal that these nonreciprocal collective modes indeed give rise to the nonreciprocity in magneto-optical responses such as the reflectivity. The physics discussed here will bridge the two important notions of magnetoplasmonics and nonreciprocity in electron hydrodynamic materials with inversion symmetry breaking and magnetic fields.

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Anomalous hydrodynamic transport in interacting noncentrosymmetric metals

Cited by 36 publications

References 44 publications

Stokes flows in three-dimensional fluids with odd and parity-violating viscosities

Stokes flows in three-dimensional fluids with odd and parity-violating viscosities

Nonlinear Hall Effects

Nonreciprocal electron hydrodynamics under magnetic fields: Applications to nonreciprocal surface magnetoplasmons

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