Nonlocal thermoelectric resistance in vortical viscous transport
arXiv:2204.14104 · doi:10.1103/PhysRevB.105.L241405
Abstract
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-Galilean-invariant 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.
7 pages, 2 figures
References in corpus (12)
- STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride
- Hydrodynamics of electrons in graphene
- Slow imbalance relaxation and thermoelectric transport in graphene
- Effect of electron-electron interactions on the conductivity of clean graphene
- Conductivity of the defectless Graphene
- Electron hydrodynamics dilemma: whirlpools or no whirlpools
- Imaging resonant dissipation from individual atomic defects in graphene
- Imaging Hydrodynamic Electrons Flowing Without Landauer-Sharvin Resistance
- Imaging the breaking of electrostatic dams in graphene for ballistic and viscous fluids
- Electronic Thermal Transport Measurement in Low-Dimensional Materials with Graphene Nonlocal Noise Thermometry
- Hydrodynamic electron transport in graphene Hall-bar devices
- Relation between Johnson Noise and heating power in a two-terminal conductor