Higher-than-ballistic conduction of viscous electron flows
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Guo-2017-Higher-than-ballistic conduction of v.pdf
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Author(s)
Falkovich, Gregory
Guo, Haoyu
Ilseven, Ekin
Levitov, Leonid
Date Issued
March 2017
Journal
Proceedings of the National Academy of Sciences
Publisher
National Academy of Sciences (U.S.)
Citation
Guo, Haoyu, et al. “Higher-Than-Ballistic Conduction of Viscous Electron Flows.” Proceedings of the National Academy of Sciences 114, 12 (March 2017): 3068–3073 © 2017 National Academy of Sciences
Version
Final published version
Abstract
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 crossover using an approach based on quasi-hydrodynamic variables. Conductance is found to obey an additive relation G = G ball + G vis , where the viscous contribution G vis dominates over G ball in the hydrodynamic limit. The superballistic, low-dissipation transport is a generic feature of viscous electronics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1073/PNAS.1612181114
