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Quantitative measurement of viscosity in two-dimensional electron fluids
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Quantitative measurement of viscosity in two-dimensional electron fluids
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Electron hydrodynamics is an emerging framework that describes dynamics of interacting electron systems as conventional fluids. While evidence for hydrodynamic-like transport is reported in a variety of two-dimensional materials, precise quantitative measurement of the core parameter, electron viscosity, remains challenging. In this work, we demonstrate that magnetoresistance in Corbino-shaped graphene devices offers a simultaneous Ohmmeter/viscosometer, allowing us to disentangle the individual Ohmic and viscous contributions to the transport response, even in the mixed flow regime. Most surprising, we find that in both monolayer and bilayer graphene, the effective electron-electron scattering rate scales linearly with temperature, at odds with the expected $T$-squared dependence expected from conventional Fermi liquid theory, but consistent with a recently identified tomographic flow regime, which was theoretically conjectured to be generic for two-dimensional charged fluids.
Forward citations
Cited by 6 Pith papers
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The flow of local quantum fluids: Conservation laws and vertex corrections from many-body linear-response theory with local self-energy
Vertex corrections to nonlocal correlation functions vanish at zero wavevector under inversion symmetry and for quadratic dispersions at all wavevectors, with explicit expressions for density, current, and stress resp...
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Magnetotransport of tomographic electrons in a Corbino disk
Tomographic boundary layers in a Corbino disk enhance the quadratic magnetoresistance coefficient via curvature-dependent slip and superballistic electrode conductance, yielding three B-field regimes with anomalous T/...
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Characterizing electronic scattering rates with transport in multiterminal devices
A five-terminal geometry diagnoses ballistic-hydrodynamic-Ohmic crossovers and extracts momentum-relaxing and conserving scattering rates from current partition in electron liquids.
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Characterizing electronic scattering rates with transport in multiterminal devices
Current partition in a five-terminal geometry diagnoses ballistic-hydrodynamic-Ohmic crossovers and extracts momentum-relaxing and conserving scattering rates in 2D electron systems.
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Characterizing electronic scattering rates with transport in multiterminal devices
A linearized Boltzmann model in five-terminal geometry shows current partition diagnoses ballistic-hydrodynamic-Ohmic crossover and extracts momentum-relaxing and conserving scattering rates.
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Superballistic paradox in electron fluids: Evidence of tomographic transport
Tomographic dynamics with only head-on collisions explains superballistic conduction at low temperatures in electron fluids by treating electrons as fermions rather than classical particles.
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