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 ball . The effect is particular...
| Main Authors: | , , , |
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| Formato: | Artigo |
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National Academy of Sciences (U.S.)
2017
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| Acceso en liña: | http://hdl.handle.net/1721.1/112215 https://orcid.org/0000-0002-4268-731X |
| _version_ | 1826205453833469952 |
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| author | Falkovich, Gregory Guo, Haoyu Ilseven, Ekin Levitov, Leonid |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Falkovich, Gregory Guo, Haoyu Ilseven, Ekin Levitov, Leonid |
| author_sort | Falkovich, Gregory |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T13:13:22Z |
| format | Article |
| id | mit-1721.1/112215 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T13:13:22Z |
| publishDate | 2017 |
| publisher | National Academy of Sciences (U.S.) |
| record_format | dspace |
| spelling | mit-1721.1/1122152022-09-28T12:45:11Z Higher-than-ballistic conduction of viscous electron flows Falkovich, Gregory Guo, Haoyu Ilseven, Ekin Levitov, Leonid Massachusetts Institute of Technology. Department of Physics Guo, Haoyu Ilseven, Ekin Levitov, Leonid 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. 2017-11-16T21:48:02Z 2017-11-16T21:48:02Z 2017-03 2016-07 2017-10-30T16:39:51Z Article http://purl.org/eprint/type/JournalArticle 0027-8424 1091-6490 http://hdl.handle.net/1721.1/112215 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 https://orcid.org/0000-0002-4268-731X http://dx.doi.org/10.1073/PNAS.1612181114 Proceedings of the National Academy of Sciences 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. application/pdf National Academy of Sciences (U.S.) PNAS |
| spellingShingle | Falkovich, Gregory Guo, Haoyu Ilseven, Ekin Levitov, Leonid Higher-than-ballistic conduction of viscous electron flows |
| title | Higher-than-ballistic conduction of viscous electron flows |
| title_full | Higher-than-ballistic conduction of viscous electron flows |
| title_fullStr | Higher-than-ballistic conduction of viscous electron flows |
| title_full_unstemmed | Higher-than-ballistic conduction of viscous electron flows |
| title_short | Higher-than-ballistic conduction of viscous electron flows |
| title_sort | higher than ballistic conduction of viscous electron flows |
| url | http://hdl.handle.net/1721.1/112215 https://orcid.org/0000-0002-4268-731X |
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