Momentum dissipation and effective theories of coherent and incoherent transport

By R. Davison, Blaise Goutéraux. 2014

235 citations recorded by the source corpus.

A bstractWe study heat transport in two systems without momentum conservation: a hydrodynamic system, and a holographic system with spatially dependent, massless scalar fields. When momentum dissipates slowly, there is a well-defined, coherent collective excitation in the AC heat conductivity, and a crossover between sound-like and diffusive transport at small and large distance scales. When momentum dissipates quickly, there is no such excitation in the incoherent AC heat conductivity, and diffusion dominates at all distance scales. For a critical value of the momentum dissipation rate, we compute exact expressions for the Green’s functions of our holographic system due to an emergent gravitational self-duality, similar to electric/magnetic duality, and SL(2, ℝ$$ \mathrm{\mathbb{R}} $$) symmetries. We extend the coherent/incoherent classification to examples of charge transport in other holographic systems: probe brane theories and neutral theories with non-Maxwell actions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4c58a8a5949bbfb68c462056c71b5bc59b9d9546

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Citations in the corpus

Solid holography and massive gravity (2015, background): “It would also be interesting to proceed with an analysis of the quasinormal modes spectrum as in [32] to better understand the nature of this pinned response.”
Dissecting holographic conductivities (2015, background): “In the limit of slow momentum relaxation, we expect that, at low energies, J− will be transported by sound at short distances (large k) and diffusion at long distances (small k), as was observed in [7] for a zero density system.”
Universal diffusion in incoherent black holes (2016, methodology): “In this limit the background metric is wellapproximated by the Schwarzchild solution and the only effect of the axions is to cause momentum to slowly relax [25] at a rate Γ ∼ k(2)/T .”
Holographic Quantum Matter (2016, background): “As < 0 is a common feature of many of the simplest models [170], this may have important consequences for the existence of some of the simplest holographic incoherent metals.”