TY - JOUR
T1 - Linking Spatial Distributions of Potential and Current in Viscous Electronics
AU - Falkovich, Gregory
AU - Levitov, Leonid
N1 - Center for Integrated Quantum Materials (CIQM) under NSF Grant [1231319]; U.S. Army Research Laboratory; U.S. Army Research Office through the Institute for Soldier Nanotechnologies [W911NF-13-D-0001]; MISTI MIT-Israel Seed Fund; Israeli Science Foundation [882]; Russian Science Foundation [14-22-00259]We acknowledge support of the Center for Integrated Quantum Materials (CIQM) under NSF Grant No. 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 No. W911NF-13-D-0001 (L.L.), MISTI MIT-Israel Seed Fund (L.L. and G.F.), the Israeli Science Foundation (Grant No. 882) (G.F.) and the Russian Science Foundation (Project No. 14-22-00259) (G.F.). We acknowledge support of the Center for Integrated Quantum Materials (CIQM) under NSF Grant No. 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 No. W911NF-13-D-0001 (L.L.), MISTI MIT-Israel Seed Fund (L.L. and G.F.), the Israeli Science Foundation (Grant No. 882) (G.F.) and the Russian Science Foundation (Project No. 14-22-00259) (G.F.).
PY - 2017/8/10
Y1 - 2017/8/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85027845021&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.119.066601
DO - 10.1103/PhysRevLett.119.066601
M3 - مقالة
SN - 0031-9007
VL - 119
JO - Physical review letters
JF - Physical review letters
IS - 6
M1 - 066601
ER -