arXiv · 1011.3068
Hydrodynamic description of transport in strongly correlated electron systems
Abstract
We develop a hydrodynamic description of the resistivity and magnetoresistance of an electron liquid in a smooth disorder potential. This approach is valid when the electron-electron scattering length is sufficiently short. In a broad range of temperatures, the dissipation is dominated by heat fluxes in the electron fluid, and the resistivity is inversely proportional to the thermal conductivity, $κ$. This is in striking contrast with the Stokes flow, in which the resistance is independent of $κ$ and proportional to the fluid viscosity. We also identify a new hydrodynamic mechanism of spin magnetoresistance.
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A. V. Andreev, Steven A. Kivelson, B. Spivak. 2010-11-12. Hydrodynamic description of transport in strongly correlated electron systems. https://doi.org/10.1103/physrevlett.106.256804
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