Theory of hydrodynamic transport in fluctuating electronic charge density wave states
arXiv:1702.05104 · doi:10.1103/PhysRevB.96.195128
Abstract
We describe the collective hydrodynamic motion of an incommensurate charge density wave state in a clean electronic system. Our description simultaneously incorporates the effects of both pinning due to weak disorder and also phase relaxation due to proliferating dislocations. We show that the interplay between these two phenomena has important consequences for charge and momentum transport. For instance, it can lead to metal-insulator transitions. We furthermore identify signatures of fluctuating density waves in frequency and spatially resolved conductivities. Phase disordering is well known to lead to a large viscosity. We derive a precise formula for the phase relaxation rate in terms of the viscosity in the dislocation cores. We thereby determine the viscosity of the superconducting state of BSCCO from the observed melting dynamics of Abrikosov lattices and show that the result is consistent with dissipation into Bogoliubov quasiparticles.
1+24+10 pages + refs, 6 figures; v2, extended discussion of phase relaxation; v3, moved detailed discussion of review material to appendices to shorten main text; v4, presentation improved and shortened
References in corpus (10)
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Holographic quantum matter
- Quantum-critical relativistic magnetotransport in graphene
- Impure AdS/CFT
- Bad Metals from Fluctuating Density Waves
- Dual gauge field theory of quantum liquid crystals in three dimensions
- Disorder, Metal-Insulator crossover and Phase diagram in high-Tc cuprates
- Electromagnetic properties of viscous charged fluids
- Wess-Zumino Terms for Relativistic Fluids, Superfluids, Solids, and Supersolids
- Lower bounds for the conductivities of correlated quantum systems
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