Imaging the breaking of electrostatic dams in graphene for ballistic and viscous fluids

Krebs, Zachary J.; Behn, Wyatt; Li, Songci; Smith, Keenan J.; Watanabe, Kenji; Taniguchi, Takashi; Levchenko, Alex; Brar, Victor W.

doi:10.48550/arxiv.2106.07212

Cited by 7 publications

(11 citation statements)

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“…Viscous conductance was also predicted to exceed the ballistic Landauer-Sharvin limit in point contacts [24]. This effect was observed in graphene microconstrictions [25] as well as mesoscale flakes with engineered large-scale defects [26]. The fact that correlations of disorder and e-e interactions may enhance conductivity in the hydrodynamic regime was also predicted to occur in bulk samples [27][28][29][30].…”

Section: Introductionmentioning

confidence: 90%

Hydrodynamic electron transport in graphene Hall-bar devices

Li,

Andreev,

Levchenko

2022

Preprint

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Section: Introductionmentioning

confidence: 90%

Hydrodynamic electron transport in graphene Hall-bar devices

Li,

Andreev,

Levchenko

2022

Preprint

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“…and thus give rise to some form of approximate viscous hydrodynamics, in experiment [6,28,29,31]: since we will show that ABA graphene also has the low density and small Fermi surfaces which enable rapid momentumconserving scattering, we anticipate that this platform will also give rise to a viscous electron fluid. Lastly and most importantly for us, ABA-trilayer graphene exhibits highly tunable anisotropic Fermi surfaces, which are essential to crisply distinguish the viscous from ballistic current flows.…”

Section: Aba-trilayer Graphenementioning

confidence: 99%

“…An exciting new experimental development over the past few years has been the application of imaging methods to directly and non-invasively image hydrodynamic flows in materials. In some experiments [28,29], this is achieved by using local potentiometry to study the local voltage in the device, while in others a nitrogen-vacancy-center magnetometer [30][31][32] is used to image current flow patterns. In both cases, evidence can be obtained for hydrodynamic flow by studying the spatial patterns imaged, along with their temperature dependence.…”

mentioning

confidence: 99%

Distinguishing viscous, ballistic, and diffusive current flows in anisotropic metals

Qi,

Lucas

2021

Preprint

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We show that in anisotropic Fermi liquids where momentum-conserving scattering is much faster than momentum-relaxing scattering processes, local imaging of the electric current flow patterns can cleanly distinguish between ballistic, viscous and ohmic flow patterns simultaneously (using a single image). We propose using multi-layer graphene-based heterostructures, including ABA trilayer graphene, as a natural experimental platform where an anisotropic ballistic-to-viscous crossover may be visible in near-term experiments. Such experiments could lead to more direct measurements of momentum-conserving scattering lengths in electronic Fermi liquids.

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“…The collective character of the viscous flow was predicted to enhance conductance in the electron transport through microconstrictions as compared to its value in the ballistic limit [16]. This effect was clearly demonstrated in graphene devices with engineered quantum point contacts [17] and electrostatic dams defined by lateral p-n junction barriers [18]. Another peculiar aspect of the hydrodynamic transport is defined by its nonlocality that may result in the formation of current vortices concomitant with the appearance of the negative nonlocal resistances [19,20].…”

Section: Introductionmentioning

confidence: 99%

Nonlocal thermoelectric resistance in vortical viscous transport

Li,

Levchenko

2022

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The pursuit for clearly identifiable signatures of viscous electron flow in the solid state systems has been a paramount task in the search of the hydrodynamic electron transport behavior. In this work, we investigate theoretically the nonlocal electric and thermal resistances for the generic non-Galileaninvariant electron liquids in the multiterminal Hall-bar devices in the hydrodynamic regime. The role of the device inhomogeneity is carefully addressed in the model of the disorder potential with the long-range correlation radius. We obtain analytic expressions for the thermoelectric resistances that are applicable in the full crossover regime from charge neutrality to high electron density. We show that the vortical component of the electron flow manifests in the thermal transport mode close to the charge neutrality where vorticity is already suppressed by the intrinsic conductivity in the electric current. This behavior can be tested by the high-resolution thermal imaging probes.

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Imaging the breaking of electrostatic dams in graphene for ballistic and viscous fluids

Cited by 7 publications

References 0 publications

Hydrodynamic electron transport in graphene Hall-bar devices

Hydrodynamic electron transport in graphene Hall-bar devices

Distinguishing viscous, ballistic, and diffusive current flows in anisotropic metals

Nonlocal thermoelectric resistance in vortical viscous transport

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