Andy Lucas, Department of Physics, Stanford University, Stanford, California 94305, USA
A generic interacting and thermalizing classical or quantum many-body system exhibits a hydrodynamic limit, where at late times the dynamics is entirely controlled by collective modes of locally conserved quantities. A hydrodynamic perspective gives a simple, solvable limit of the transport problem in a strongly correlated electron system. I will describe the consequences of hydrodynamics on the DC electrical and thermal conductivity, highlighting three particular examples we have recently studied: (1) the consequences of potential vs magnetic disorder on transport in viscous Fermi liquids, (2) consequences of Fermi surface geometry on transport at the ballistic-to-hydrodynamic crossover, and (3) the experimentally observed violations of the Wiedemann-Franz law in the quasirelativistic electron-hole plasma of graphene. These new theories may explain puzzling transport phenomena, including T2 resistivity in single-band SrTiO3, and 'strange metal' phases.
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