Stokes Paradox, Back Reflections and Interaction-Enhanced Conduction

Haoyu Guo; Ekin Ilseven; Gregory Falkovich; Leonid Levitov

Stokes Paradox, Back Reflections and Interaction-Enhanced Conduction

Haoyu Guo, Ekin Ilseven, Gregory Falkovich, Leonid Levitov

Department of Physics of Complex Systems

Weizmann Institute of Science

Research output: Contribution to journal › Article

Abstract

Interactions in electron systems can lead to viscous flows in which correlations allow electrons to avoid disorder scattering, reducing momentum loss and dissipation. We illustrate this behavior in a viscous pinball model, describing electrons moving in the presence of dilute point-like defects. Conductivity is found to obey an additive relation $\sigma=\sigma_0+\Delta\sigma$, with a non-interacting Drude contribution $\sigma_0$ and a contribution $\Delta\sigma>0$ describing conductivity enhancement due to interactions. The quantity $\Delta\sigma$ is enhanced by a logarithmically large factor originating from the Stokes paradox at the hydrodynamic lengthscales and, in addition, from an effect of repeated returns to the same scatterer due to backreflection in the carrier-carrier collisions occurring at the ballistic lengthscales. The interplay between these effects is essential at the ballistic-to-viscous crossover.

Original language	English
Number of pages	7
Journal	arXiv
State	Submitted - 29 Dec 2016

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Cite this

@article{75bc119cc2f446ad8b9561930bb50353,

title = "Stokes Paradox, Back Reflections and Interaction-Enhanced Conduction",

abstract = "Interactions in electron systems can lead to viscous flows in which correlations allow electrons to avoid disorder scattering, reducing momentum loss and dissipation. We illustrate this behavior in a viscous pinball model, describing electrons moving in the presence of dilute point-like defects. Conductivity is found to obey an additive relation $\sigma=\sigma_0+\Delta\sigma$, with a non-interacting Drude contribution $\sigma_0$ and a contribution $\Delta\sigma>0$ describing conductivity enhancement due to interactions. The quantity $\Delta\sigma$ is enhanced by a logarithmically large factor originating from the Stokes paradox at the hydrodynamic lengthscales and, in addition, from an effect of repeated returns to the same scatterer due to backreflection in the carrier-carrier collisions occurring at the ballistic lengthscales. The interplay between these effects is essential at the ballistic-to-viscous crossover.",

author = "Haoyu Guo and Ekin Ilseven and Gregory Falkovich and Leonid Levitov",

note = "We acknowledge support of the Center for Integrated Quantum Materials (CIQM) under NSF award 1231319 (L.L.), partial support by the U.S. Army Research Laboratory and the U.S. Army Research Office through the Institute for Soldier Nanotechnologies, under contract number W911NF-13-D-0001 (L.L.), MISTI MIT Israel Seed Fund (L.L. and G.F.), the Israeli Science Foundation (grant 882) (G.F.) and the Russian Science Foundation (project 14-22-00259) (G.F.)",

year = "2016",

month = dec,

day = "29",

language = "الإنجليزيّة",

}

TY - JOUR

T1 - Stokes Paradox, Back Reflections and Interaction-Enhanced Conduction

AU - Guo, Haoyu

AU - Ilseven, Ekin

AU - Falkovich, Gregory

AU - Levitov, Leonid

N1 - We acknowledge support of the Center for Integrated Quantum Materials (CIQM) under NSF award 1231319 (L.L.), partial support by the U.S. Army Research Laboratory and the U.S. Army Research Office through the Institute for Soldier Nanotechnologies, under contract number W911NF-13-D-0001 (L.L.), MISTI MIT Israel Seed Fund (L.L. and G.F.), the Israeli Science Foundation (grant 882) (G.F.) and the Russian Science Foundation (project 14-22-00259) (G.F.)

PY - 2016/12/29

Y1 - 2016/12/29

N2 - Interactions in electron systems can lead to viscous flows in which correlations allow electrons to avoid disorder scattering, reducing momentum loss and dissipation. We illustrate this behavior in a viscous pinball model, describing electrons moving in the presence of dilute point-like defects. Conductivity is found to obey an additive relation $\sigma=\sigma_0+\Delta\sigma$, with a non-interacting Drude contribution $\sigma_0$ and a contribution $\Delta\sigma>0$ describing conductivity enhancement due to interactions. The quantity $\Delta\sigma$ is enhanced by a logarithmically large factor originating from the Stokes paradox at the hydrodynamic lengthscales and, in addition, from an effect of repeated returns to the same scatterer due to backreflection in the carrier-carrier collisions occurring at the ballistic lengthscales. The interplay between these effects is essential at the ballistic-to-viscous crossover.

AB - Interactions in electron systems can lead to viscous flows in which correlations allow electrons to avoid disorder scattering, reducing momentum loss and dissipation. We illustrate this behavior in a viscous pinball model, describing electrons moving in the presence of dilute point-like defects. Conductivity is found to obey an additive relation $\sigma=\sigma_0+\Delta\sigma$, with a non-interacting Drude contribution $\sigma_0$ and a contribution $\Delta\sigma>0$ describing conductivity enhancement due to interactions. The quantity $\Delta\sigma$ is enhanced by a logarithmically large factor originating from the Stokes paradox at the hydrodynamic lengthscales and, in addition, from an effect of repeated returns to the same scatterer due to backreflection in the carrier-carrier collisions occurring at the ballistic lengthscales. The interplay between these effects is essential at the ballistic-to-viscous crossover.

M3 - مقالة

SN - 2331-8422

JO - arXiv

JF - arXiv

ER -

Stokes Paradox, Back Reflections and Interaction-Enhanced Conduction

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