Higher-than-ballistic conduction of viscous electron flows

H Guo, E Ilseven, G Falkovich… - Proceedings of the …, 2017 - National Acad Sciences
Proceedings of the National Academy of Sciences, 2017National Acad Sciences
Strongly interacting electrons can move in a neatly coordinated way, reminiscent of the
movement of viscous fluids. Here, we show that in viscous flows, interactions facilitate
transport, allowing conductance to exceed the fundamental Landauer's ballistic limit G ball.
The effect is particularly striking for the flow through a viscous point contact, a constriction
exhibiting the quantum mechanical ballistic transport at T= 0 but governed by electron
hydrodynamics at elevated temperatures. We develop a theory of the ballistic-to-viscous …
Strongly interacting electrons can move in a neatly coordinated way, reminiscent of the movement of viscous fluids. Here, we show that in viscous flows, interactions facilitate transport, allowing conductance to exceed the fundamental Landauer’s ballistic limit . The effect is particularly striking for the flow through a viscous point contact, a constriction exhibiting the quantum mechanical ballistic transport at T=0 but governed by electron hydrodynamics at elevated temperatures. We develop a theory of the ballistic-to-viscous crossover using an approach based on quasi-hydrodynamic variables. Conductance is found to obey an additive relation G=Gball+Gvis, where the viscous contribution dominates over in the hydrodynamic limit. The superballistic, low-dissipation transport is a generic feature of viscous electronics.
National Acad Sciences
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