Hydrodynamic charge and heat transport on inhomogeneous curved spaces
arXiv:1705.04325 · doi:10.1103/PhysRevB.96.075150
Abstract
We develop the theory of hydrodynamic charge and heat transport in strongly interacting quasi-relativistic systems on manifolds with inhomogeneous spatial curvature. In solid-state physics, this is analogous to strain disorder in the underlying lattice. In the hydrodynamic limit, we find that the thermal and electrical conductivities are dominated by viscous effects, and that the thermal conductivity is most sensitive to this disorder. We compare the effects of inhomogeneity in the spatial metric to inhomogeneity in the chemical potential, and discuss the extent to which our hydrodynamic theory is relevant for experimentally realizable condensed matter systems, including suspended graphene at the Dirac point.
15+8 pages, 4+1 figures; v2: added references, published version
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Cited by in corpus (11)
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- Pinning of longitudinal phonons in holographic spontaneous helices
- The Large D Limit of Einstein's Equations
- A classical mechanism for negative magnetoresistance in two-dimensional systems in the ballistic regime
- The Hall effect in ballistic flow of two-dimensional interacting particles
- Diffusion for Holographic Lattices
- Large D holography with metric deformations
- Diffusion in inhomogeneous media
- Hydrodynamic sound modes and Galilean symmetry breaking in a magnon fluid
- Hydrodynamics of a relativistic charged fluid in the presence of a periodically modulated chemical potential
- Beyond Drude transport in hydrodynamic metals