Holography without translational symmetry

By David Vegh. 2013

293 citations recorded by the source corpus.

We propose massive gravity as a holographic framework for describing a class of strongly interacting quantum field theories with broken translational symmetry. Bulk gravitons are assumed to have a Lorentz-breaking mass term as a substitute for spatial inhomogeneities. This breaks momentum-conservation in the boundary field theory. At finite chemical potential, the gravity duals are charged black holes in asymptotically anti-de Sitter spacetime. The conductivity in these systems generally exhibits a Drude peak that approaches a delta function in the massless gravity limit. Furthermore, the optical conductivity shows an emergent scaling law: $|\sigma(\omega)| \approx {A \over \omega^{\alpha}} + B$. This result is consistent with that found earlier by Horowitz, Santos, and Tong who introduced an explicit inhomogeneous lattice into the system.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9b3998984b1fc6c9e9de46b3557b586a1fef5f73

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Citations in the corpus

Charge transport in holography with momentum dissipation (2014, background): “ribing a lattice (there is no distinguished lattice wavevector), but perhaps this model can capture features of quenched disorder at low temperatures and frequencies, like holographic massive gravity [8, 9, 10, 16]. We will come back to this interpretation in section 5. Solutions can be distinguishe”
Holographic metals and insulators with helical symmetry (2014, background): “aphic one and the coupling is localized in the bulk. To our knowledge, only the previous setup was analyzed and the relevant RG ows were studied in great detail in [27]. The eective approach used in [21]-[26] should be obtained as a limit where the momentum dissipating sector has a much larger numbe”
Universal Resistivity from Holographic Massive Gravity (2013, methodology): “Since momentum is no longer conserved, one expects a finite DC conductivity, even when Q 6 = 0 [12].”
Solid holography and massive gravity (2015, background): “[1] is a particular case of the two fields massive gravity with the Lagrangian given by”
Thermodynamics of Black Holes in Massive Gravity (2014, methodology): “Let us consider the following action for an (n+ 2)-dimensional massive gravity [19]”
Many-body chaos and energy dynamics in holography (2018, background): “[47] David Vegh, “Holography without translational symmetry,” (2013), arXiv:1301.”
Universal diffusion in incoherent black holes (2016, background): “Whilst there are very few theoretical approaches to incoherent metals, explicit examples of holographic models with strong momentum relaxation have been constructed [19–23].”