Hydrodynamics of spin-polarized transport and spin pendulum

Gurzhi, R. N.; Kalinenko, A. N.; Kopeliovich, A. I.; Pyshkin, P. V.; Yanovsky, A. V.

doi:10.1134/s1063776107070412

Cited by 28 publications

(46 citation statements)

References 9 publications

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“…Like these transport regimes, hydrodynamic transport has also been extensively studied as another regime of phonon transport in various systems [10][11][12][13] . These three regimes (ballistic, diffusive, and hydrodynamic) arise from the dominance of different types of phonon scattering mechanisms.…”

Section: Introductionmentioning

confidence: 99%

“…Among many hydrodynamic transport phenomena, phonon Poiseuille flow and second sound have been observed in three-dimensional bulk materials but at very low temperature and only for a narrow temperature range: 0.5 K in solid He for Poiseuille flow and 15 K in NaF for second sound 11,12 . More recently, however, two theoretical studies based on first principles calculations have shown that hydrodynamic phonon transport may be observed in graphene at significantly higher temperature and over a broader range of temperature 15,16 .…”

Section: Introductionmentioning

confidence: 99%

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Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube

Lee

Lindsay

2017

Phys. Rev. B

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Two hydrodynamic features of phonon transport, phonon drift and second sound, in a (20,20) single wall carbon nanotube (SWCNT) are discussed using lattice dynamics calculations employing an optimized Tersoff potential for atomic interactions. We formally derive a formula for the contribution of drift motion of phonons to total heat flux at steady state. It is found that the drift motion of phonons carry more than 70% and 90% of heat at 300 K and 100 K,

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube

Lee

Lindsay

2017

Phys. Rev. B

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“…[3,9,[41][42][43]] for the scattering rates and crystal quality estimations), one might suggest that a hydrodynamic regime of electron transport could be eventually realized in many such materials. Originally, the possibility of such a regime for charge carriers in sufficiently clean solids was discussed in the pioneering papers by Gurzhi [44,45]. Electron hydrodynamics requires that the electron-electron scattering rate dominates over the electron-impurity and electron-phonon ones.…”

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confidence: 99%

Hydrodynamics of Fermi arcs: Bulk flow and surface collective modes

et al. 2019

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The hydrodynamic description of the Fermi arc surface states is proposed. In view of the strong suppression of scattering on impurities, the hydrodynamic regime for Fermi arc states should be, in principle, plausible. By using the kinetic theory, the Fermi arc hydrodynamics is derived and the corresponding effects on the bulk flow and surface collective modes are studied. For the bulk flow, the key effect of the proposed Fermi arc hydrodynamics is the modification of the corresponding boundary conditions. In a slab geometry, it is shown that, depending on the transfer rates between the surface and bulk, the hydrodynamic flow of the electron fluid inside the slab could be significantly altered and even enhanced near the surfaces. As to the spectrum of the surface collective modes, in agreement with earlier studies, it is found that the Fermi arcs allow for an additional gapless spectrum branch and a strong anisotropy of the surface plasmon dispersion relations in momentum space. The gapped modes are characterized by closed elliptic contours of constant frequency in momentum space. I. INTRODUCTIONWeyl semimetals are materials with a relativisticlike energy spectrum in the vicinity of isolated Weyl nodes in the Brillouin zone. (For recent reviews on Weyl semimetals, see Refs. [1][2][3].) The nodes have nonzero topological charges with the monopolelike Berry curvature [4] and always occur in pairs of opposite chirality [5,6]. In each pair, the Weyl nodes can be separated in energy and/or momentum, which indicates breaking of the parity-inversion (PI) and/or time-reversal (TR) symmetries, respectively. The nontrivial topology and the relativisticlike nature of quasiparticles also affect the transport properties of Weyl semimetals, e.g., leading to a negative longitudinal magnetoresistivity that was first predicted in Ref. [7]. (For recent reviews of the transport phenomena, see .)The nontrivial bulk topology of Weyl semimetals is also reflected in unusual surface states known as the Fermi arcs [11]. Unlike surface states in ordinary materials, the Fermi arcs form open segments in momentum space that connect Weyl nodes of opposite chirality [11,12]. The surface states in Weyl semimetals were first observed via the angle-resolved photoemision spectroscopy [2,[13][14][15][16][17][18] and reconfirmed later by the observation of the quasiparticle interference patterns [19][20][21][22]. It is important to note that the energy dispersion of the Fermi arc states is effectively one dimensional and linear (see, e.g., Ref. [23]). This may suggest that their transport properties are similar to that of the one-dimensional chiral fermions and should be nondissipative. However, as we showed in Ref. [24], the Fermi arc transport is, in fact, dissipative because of the scattering between the surface and bulk states in Weyl semimetals. The dissolution of Fermi arcs in the presence of strong disorder was also confirmed numerically in Refs. [25,26].Electronic collective excitations provide additional powerful probes of the nontrivial pro...

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“…2D electrons with spin-orbit coupling, the kinetic mass density is not equal to the average mass density ρ because spin-orbit coupling breaks Galilean invariance. Similar considerations arise in the hydrodynamic description of phonons [30].…”

Section: Phenomenologymentioning

confidence: 56%

Spin–vorticity coupling in viscous electron fluids

Polini

Duine

2019

J. Phys. Mater.

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We consider spin-vorticity coupling-the generation of spin polarization by vorticity-in viscous two-dimensional electron systems with spin-orbit coupling. We first derive hydrodynamic equations for spin and momentum densities in which their mutual coupling is determined by the rotational viscosity. We then calculate the rotational viscosity microscopically in the limits of weak and strong spin-orbit coupling. We provide estimates that show that the spin-orbit coupling achieved in recent experiments is strong enough for the spin-vorticity coupling to be observed. On the one hand, this coupling provides a way to image viscous electron flows by imaging spin densities. On the other hand, we show that the spin polarization generated by spin-vorticity coupling in the hydrodynamic regime can, in principle, be much larger than that generated, e.g. by the spin Hall effect, in the diffusive regime.

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Hydrodynamics of spin-polarized transport and spin pendulum

Cited by 28 publications

References 9 publications

Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube

Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube

Hydrodynamics of Fermi arcs: Bulk flow and surface collective modes

Spin–vorticity coupling in viscous electron fluids

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