Higher-than-ballistic conduction of viscous electron flows

Haoyu Guo, Ekin Ilseven, Gregory Falkovich, Leonid S. Levitov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

151 Citations (Scopus)


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 Gball. 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 Gvis dominates over Gball in the hydrodynamic limit. The superballistic, low-dissipation transport is a generic feature of viscous electronics.

Original languageEnglish
Pages (from-to)3068-3073
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number12
Publication statusPublished - 21 Mar 2017


  • Electron hydrodynamics
  • Graphene
  • Strongly correlated systems


Dive into the research topics of 'Higher-than-ballistic conduction of viscous electron flows'. Together they form a unique fingerprint.

Cite this