Stokes flow analogous to viscous electron current in graphene
arXiv:1902.10383 · doi:10.1038/s41467-019-08916-5
Abstract
Electron transport in two-dimensional conducting materials such as graphene, with dominant electron-electron interaction, exhibits unusual vortex flow that leads to a nonlocal current-field relation (negative resistance), distinct from the classical Ohm's law. The transport behavior of these materials is best described by low Reynolds number hydrodynamics, where the constitutive pressure-speed relation is Stoke's law. Here we report evidence of such vortices observed in a viscous flow of Newtonian fluid in a microfluidic device consisting of a rectangular cavityanalogous to the electronic system. We extend our experimental observations to elliptic cavities of different eccentricities, and validate them by numerically solving bi-harmonic equation obtained for the viscous flow with no-slip boundary conditions. We verify the existence of a predicted threshold at which vortices appear. Strikingly, we find that a two-dimensional theoretical model captures the essential features of three-dimensional Stokes flow in experiments.
arXiv comment6 pages, 6 figures
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Cited by in corpus (9)
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- Hydrodynamical study of Terahertz emission in magnetized graphene field-effect transistors
- Evidence for local spots of viscous electron flow in graphene at moderate mobility
- Viscosity Enhancement by Electron-Hole Collisions in Dirac Electron Fluid
- Corbino magnetoresistance in neutral graphene
- Hawking radiation from acoustic black holes in hydrodynamic flow of electrons
- Conductivity bound of the strongly interacting and disordered graphene from gauge/gravity duality
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