Hydrodynamic electron transport in graphene Hall-bar devices

Li, Songci; Andreev, A. V.; Levchenko, Alex

doi:10.48550/arxiv.2202.10472

Cited by 1 publication

(2 citation statements)

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“…This stimulated research activities and lead to insightful predictions, many of which were already validated experimentally. For instance, the Dirac fluid in graphene was expected to display anomalous thermoelectric responses most pronounced near charge neutrality [9][10][11][12][13]. This was confirmed by the observation of gross violation of the Wiedemann-Franz law, which manifests by the significant increase in the Lorenz ratio [14] and the Seebeck coefficient [15] as a function of carrier concentration in the carefully controlled domain of the phase diagram defined by temperature and particle density.…”

Section: Introductionmentioning

confidence: 89%

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Nonlocal thermoelectric resistance in vortical viscous transport

Li,

Levchenko

2022

Preprint

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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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Section: Introductionmentioning

confidence: 89%

“…For the bulk samples and Hall-bar devices, this analysis was carried out in the recent work of Refs. [12,13]. For instance, the renormalized intrinsic conductivity, σ + e 2 χ, acquires positive correction with χ = 1 2η…”

Section: Hydrodynamic Formalismmentioning

confidence: 99%