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, $\kappa$. This is in striking contrast with the Stokes flow, in which the resistance is independent of $\kappa$ and proportional to the fluid viscosity. We also identify a new hydrodynamic mechanism of spin magnetoresistance.

References in corpus (4)

• Metal-insulator transition in two-dimensional electron systems
• Transport in strongly correlated two dimensional electron fluids
• A critical test of the mode-coupling theory of the glass transition
• Transport in partially equilibrated inhomogeneous quantum wires

Cited by in corpus (177)

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• Spin drag mechanism of giant thermal magnetoresistance
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• Diffusive and hydrodynamic magnetotransport around a density perturbation in a two-dimensional electron gas
• Spin mechanism of drag resistance in strongly correlated electron liquids
• How to accurately measure the mobility and viscosity of two-dimensional carriers?
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• Quantum Critical Ballistic Transport in Two-Dimensional Fermi Liquids
• Strange Metals from Quantum Geometric Fluctuations of Interfaces
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• Strange metal in the doped Hubbard model via percolation
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