Ballistic-to-hydrodynamic transition and collective modes for two-dimensional electron systems in magnetic field

Kapralov, Kirill; Svintsov, Dmitry

doi:10.1103/physrevb.106.115415

Cited by 9 publications

(2 citation statements)

References 57 publications

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“…The definition of hydrodynamic signatures for ac electric fields 10,17 , its experimental study and its relation with meta-hydrodynamic routes is still an open question. We notice that following meta-hydrodynamic routes couples the viscous term and other terms in the NSE, which may result in a hidden signature.…”

Section: Discussionmentioning

confidence: 99%

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Meta-hydrodynamic routes to viscous electron flow

Estrada-Álvarez

Domı́nguez-Adame

Díaz

2023

Preprint

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Viscous flow of interacting electrons in two dimensional materials features a bunch of exotic effects. A model resembling the Navier-Stokes equation for classical fluids accounts for them in the so called hydrodynamic regime. This regime occurs when electron-electron collisions are frequent enough. We performed a detailed analysis of the hydrodynamic requirements and found three new routes to achieve viscous electron flow: favouring frequent inelastic collisions, the application of a magnetic field or a high-frequency electric field. Our results show that the conventional requirement of frequent electron-electron collisions is too restrictive and, as a consequence, materials and phenomena to be described using hydrodynamics are widened. We discuss recent experiments regarding Poiseuille-like flows, superballistic conduction and negative resistances as signatures for viscous flow onset. We conclude that these usual signatures of viscous electron flow are achieved by following alternative meta-hydrodynamic routes.

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Section: Discussionmentioning

confidence: 99%

“…(k x , k y ), and let f (r, k, t) be their distribution function that obeys the BTE [15][16][17][18]…”

mentioning

confidence: 99%

Meta-hydrodynamic routes to viscous electron flow

Estrada-Álvarez

Domı́nguez-Adame

Díaz

2023

Preprint

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Alternative routes to electron hydrodynamics

Estrada-Álvarez,

Domínguez-Adame,

Díaz

2024

Commun Phys

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Viscous flow of interacting electrons in two dimensional materials features a bunch of exotic effects. A model resembling the Navier-Stokes equation for classical fluids accounts for them in the so called hydrodynamic regime. We perform a detailed analysis of the physical conditions to achieve electron hydrodynamic transport and find alternative routes: the application of a magnetic field or a high-frequency electric field in the absence of very frequent inelastic collisions. As a major conclusion, we show that the conventional requirement of frequent electron-electron collisions is too restrictive and, as a consequence, materials and phenomena to be described using hydrodynamics are widened. In view of our results, we discuss recent experimental evidence on viscous flow and point out alternative avenues to reduce electric dissipation in optimized devices.

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Plasmonic quantum nonlinear Hall effect in noncentrosymmetric two-dimensional materials

Toshio

Kawakami

2022

Phys. Rev. B

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Ballistic-to-hydrodynamic transition and collective modes for two-dimensional electron systems in magnetic field

Cited by 9 publications

References 57 publications

Meta-hydrodynamic routes to viscous electron flow

Meta-hydrodynamic routes to viscous electron flow

Alternative routes to electron hydrodynamics

Plasmonic quantum nonlinear Hall effect in noncentrosymmetric two-dimensional materials

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