Quantum aspects of "hydrodynamic" transport from weak electron-impurity scattering

Abstract

Recent experimental observations of apparently hydrodynamic electronic transport have generated much excitement. However, the understanding of the observed non-local transport (whirlpool) effects and parabolic (Poiseuille-like) current profiles has largely been motivated by a phenomenological analogy to classical fluids. This is due to difficulty in incorporating strong correlations in quantum mechanical calculation of transport, which has been the primary angle for interpreting the apparently hydrodynamic transport. Here we demonstrate that even free fermion systems, in the presence of (inevitable) disorder, exhibit non-local conductivity effects such as those observed in experiment because of the fermionic system's long-range entangled nature. On the basis of explicit calculations of the conductivity at finite wavevector, $\sigma (\mathbf{q})$, for selected weakly disordered free fermion systems, we propose experimental strategies for demonstrating distinctive quantum effects in non-local transport at odds with the expectations of classical kinetic theory. Our results imply that the observation of whirlpools or other "hydrodynamic" effects does not guarantee the dominance of electron-electron scattering over electron-impurity scattering.

arXiv comment5 pages + 5 page appendix, 6 figures

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Cited by in corpus (9)

• Hydrodynamic approach to two-dimensional electron systems
• Evidence for local spots of viscous electron flow in graphene at moderate mobility
• Beyond Ohm's law -- Bernoulli effect and streaming in electron hydrodynamics
• Conformal maps of viscous electron flow in the Gurzhi crossover
• Two-dimensional hydrodynamic electron flow through periodic and random potentials
• Universal superdiffusive modes in charged two dimensional liquids
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• Resolving the Corbino Shockley-Ramo Paradox for Hydrodynamic Current Noise
• Effect of Uncorrelated On-site Scalar Potential and Mass Disorder on Transport of Two-Dimensional Dirac Fermions