Journal Article10.1070/PU1968V011N02ABEH003815
Hydrodynamic effects in solids at low temperature
TL;DR: In this paper, the second sound in dielectrics has been investigated and the effect of higher-order anharmonicity on transfer processes in solids at low temperatures.
read more
Abstract: Introduction I. Kinetic Phenomena in Dielectrics 256 1. Statement of the Problem 256 2. Hydrodynamic Mechanism of Thermal Conductivity 257 3. Influence of Higher-order Anharmonicity on Transfer Processes in Solids at Low Temperatures 259 4. Second Sound in Dielectrics 260 II. Kinetic Phenomena in Metals 5. Electrical Conductivity of Metals at Low Temperatures 262 6. Electrical Conductivity of Thin Samples 264 7. Electrical Conductivity of Bulk Samples 266 8. High-frequency Properties 268 References 269
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Negative local resistance caused by viscous electron backflow in graphene
Denis A. Bandurin,Iacopo Torre,R. Krishna Kumar,R. Krishna Kumar,M. Ben Shalom,Andrea Tomadin,Alessandro Principi,Gregory Auton,Ekaterina Khestanova,Kostya S. Novoselov,Irina V. Grigorieva,Leonid Ponomarenko,Leonid Ponomarenko,Andre K. Geim,Marco Polini +14 more
TL;DR: Graphene hosts a unique electron system in which electron-phonon scattering is extremely weak but electron-electron collisions are sufficiently frequent to provide local equilibrium above the temperature of liquid nitrogen, under which electrons can behave as a viscous liquid and exhibit hydrodynamic phenomena similar to classical liquids.
Electron viscosity, current vortices and negative nonlocal resistance in graphene
Leonid Levitov,Gregory Falkovich +1 more
TL;DR: In this article, vorticity is reported as a signature feature of electron viscosity in graphene, which leads to negative nonlocal resistance, which can be observed experimentally.
Superballistic flow of viscous electron fluid through graphene constrictions
R. Krishna Kumar,R. Krishna Kumar,Denis A. Bandurin,Francesco M. D. Pellegrino,Yang Cao,Alessandro Principi,Haoyu Guo,Gregory Auton,M. Ben Shalom,L. A. Ponomarenko,Gregory Falkovich,Kenji Watanabe,T. Taniguchi,Irina V. Grigorieva,Leonid Levitov,Marco Polini,Marco Polini,Andre K. Geim +17 more
TL;DR: In this paper, the authors studied electron transport through graphene constrictions and showed that their conductance below 150 K increases with increasing temperature, in stark contrast to the metallic character of doped graphene.
Measuring Hall Viscosity of Graphene’s Electron Fluid
A. I. Berdyugin,Shuigang Xu,Francesco M. D. Pellegrino,Francesco M. D. Pellegrino,R. Krishna Kumar,Alessandro Principi,Iacopo Torre,M. Ben Shalom,T. Taniguchi,Kei Watanabe,Irina V. Grigorieva,Marco Polini,Marco Polini,Andre K. Geim,Denis A. Bandurin +14 more
TL;DR: In this paper, the authors found that the viscous electron fluid in graphene responds to nonquantizing magnetic fields by producing an electric field opposite to that generated by the ordinary Hall effect.
Nonlocal transport and the hydrodynamic shear viscosity in graphene
TL;DR: In this paper, the authors present a theoretical study of dc transport in doped graphene in the hydrodynamic regime using the continuity and Navier-Stokes equations, and demonstrate analytically that measurements of nonlocal resistances in multiterminal Hall bar devices can be used to extract the hydrogynamic shear viscosity of the two-dimensional (2D) electron liquid in graphene.
280
References
Second Sound in Solid Helium
TL;DR: In this paper, an experiment on temperature pulse propagation in a bcc crystal grown at 959 atm shows the existence of second sound in the solid below about 058\ifmmode^\circ\else\text degree\fi{}
432