Linking Spatial Distributions of Potential and Current in Viscous Electronics
Author(s)
Falkovich, Gregory; Levitov, Leonid
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Viscous electronics is an emerging field dealing with systems in which strongly interacting electrons behave as a fluid. Electron viscous flows are governed by a nonlocal current-field relation which renders the spatial patterns of the current and electric field strikingly dissimilar. Notably, driven by the viscous friction force from adjacent layers, current can flow against the electric field, generating negative resistance, vorticity, and vortices. Moreover, different current flows can result in identical potential distributions. This sets a new situation where inferring the electron flow pattern from the measured potentials presents a nontrivial problem. Using the inherent relation between these patterns through complex analysis, here we propose a method for extracting the current flows from potential distributions measured in the presence of a magnetic field.
Date issued
2017-08Department
Massachusetts Institute of Technology. Department of PhysicsJournal
Physical Review Letters
Publisher
American Physical Society
Citation
Falkovich, Gregory and Levitov, Leonid. "Linking Spatial Distributions of Potential and Current in Viscous Electronics." Physical Review Letters 119, 6 (August 2017): 066601 © 2017 American Physical Society
Version: Final published version
ISSN
0031-9007
1079-7114