Higher-Than-Ballistic Conduction of Viscous Electron Flows

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 \(G_{\rm ball}\). The effect is par...

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Veröffentlicht in:arXiv.org 2017-01
Hauptverfasser: Guo, Haoyu, Ilseven, Ekin, Falkovich, Gregory, Levitov, Leonid
Format: Artikel
Sprache:eng
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Zusammenfassung: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 \(G_{\rm ball}\). 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 crossover using an approach based on quasi-hydrodynamic variables. Conductance is found to obey an additive relation \(G=G_{\rm ball}+G_{\rm vis}\), where the viscous contribution \(G_{\rm vis}\) dominates over \(G_{\rm ball}\) in the hydrodynamic limit. We argue that superballistic, low-dissipation transport is a generic feature of viscous electronics.
ISSN:2331-8422
DOI:10.48550/arxiv.1607.07269