TY - JOUR
T1 - Higher-than-ballistic conduction of viscous electron flows
AU - Guo, Haoyu
AU - Ilseven, Ekin
AU - Falkovich, Gregory
AU - Levitov, Leonid S.
N1 - Center for Integrated Quantum Materials (CIQM) under NSF [1231319]; US Army Research Laboratory; US Army Research Office through the Institute for Soldier Nanotechnologies [W911NF-13-D-0001]; The US-Israel Binational Science Foundation; MISTI MIT-Israel Seed Fund; Israeli Science Foundation [882]; Russian Science Foundation [14-22-00259] We thank M. Reznikov for useful discussions and acknowledge support of the Center for Integrated Quantum Materials (CIQM) under NSF Award 1231319 (to L.S.L.); partial support by the US Army Research Laboratory and the US Army Research Office through the Institute for Soldier Nanotechnologies, under Contract W911NF-13-D-0001 (to L.S.L.); The US-Israel Binational Science Foundation (L.S.L.); MISTI MIT-Israel Seed Fund (L.S.L. and G.F.); the Israeli Science Foundation Grant 882 (to G.F.); and the Russian Science Foundation Project 14-22-00259 (to G. F.).
PY - 2017/3/21
Y1 - 2017/3/21
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85016116748&partnerID=8YFLogxK
U2 - 10.1073/pnas.1612181114
DO - 10.1073/pnas.1612181114
M3 - مقالة
SN - 0027-8424
VL - 114
SP - 3068
EP - 3073
JO - Proceedings of the National Academy of Sciences of the United States of America
JF - Proceedings of the National Academy of Sciences of the United States of America
IS - 12
ER -