Hydrodynamic electron transport in graphene Hall-bar devices
arXiv:2202.10472 · doi:10.1103/PhysRevB.105.155307
Abstract
We consider hydrodynamic electron transport in the Hall-bar geometry. The theory is developed for systems with non-Galilean-invariant electron liquids. We show that inhomogeneity of the electron density induced by long-range disorder and gating leads to mixing between the hydrodynamic transport mode and transport relative to the electron liquid. For graphene systems near charge neutrality, these effects lead to strong coupling of the hydrodynamic flow to charge transport. As a result, the effective electrical conductivity of the system may significantly exceed the intrinsic conductivity of the electron liquid. We obtain analytic expressions for the thermoelectric transport coefficients of the system as a function of density in the full crossover region between clean and disorder-dominated regimes.
Dedicated to Mark Azbel's 90-th birthday [9 pages, 3 figures]
References in corpus (10)
- STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride
- Hydrodynamics of electrons in graphene
- Quantum critical transport in clean graphene
- Slow imbalance relaxation and thermoelectric transport in graphene
- Effect of electron-electron interactions on the conductivity of clean graphene
- Hydrodynamics in graphene: Linear-response transport
- Conductivity of the defectless Graphene
- Imaging resonant dissipation from individual atomic defects in graphene
- Transport properties of strongly coupled electron-phonon liquids
- Freely flowing currents and electric field expulsion in viscous electronics