Quantitative measurement of viscosity in two-dimensional electron fluids

Fuente: arXiv
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Auteurs principaux: Zeng, Yihang, Guo, Haoyu, Ghosh, Olivia M., Watanabe, Kenji, Taniguchi, Takashi, Levitov, Leonid S., Dean, Cory R.
Format: Preprint
Publié: 2024
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author Zeng, Yihang
Guo, Haoyu
Ghosh, Olivia M.
Watanabe, Kenji
Taniguchi, Takashi
Levitov, Leonid S.
Dean, Cory R.
author_facet Zeng, Yihang
Guo, Haoyu
Ghosh, Olivia M.
Watanabe, Kenji
Taniguchi, Takashi
Levitov, Leonid S.
Dean, Cory R.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_05026
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantitative measurement of viscosity in two-dimensional electron fluids
Zeng, Yihang
Guo, Haoyu
Ghosh, Olivia M.
Watanabe, Kenji
Taniguchi, Takashi
Levitov, Leonid S.
Dean, Cory R.
Mesoscale and Nanoscale Physics
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.
title Quantitative measurement of viscosity in two-dimensional electron fluids
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2407.05026