Holographic Q-lattices

By Aristomenis Donos, J. Gauntlett. 2013

357 citations recorded by the source corpus.

A bstractWe introduce a new framework for constructing black hole solutions that are holographically dual to strongly coupled field theories with explicitly broken translation invariance. Using a classical gravitational theory with a continuous global symmetry leads to constructions that involve solving ODEs instead of PDEs. We study in detail D = 4 Einstein-Maxwell theory coupled to a complex scalar field with a simple mass term. We construct black holes dual to metallic phases which exhibit a Drude-type peak in the optical conductivity, but there is no evidence of an intermediate scaling that has been reported in other holographic lattice constructions. We also construct black holes dual to insulating phases which exhibit a suppression of spectral weight at low frequencies. We show that the model also admits a novel AdS3 × $ \mathbb{R} $ solution.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2b18ee39833a4c941d7d146104b9774c5cf45278

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Citations in the corpus

The thermoelectric properties of inhomogeneous holographic lattices (2014, background): “The issue of length renormalisation was discussed in [7, 10].”
Dissecting holographic conductivities (2015, background): “such systems [12–14], and the development of efficient calculational tools to determine their DC conductivities [15–19], have made it easy to test this modified version of hydrodynamics.”
Thermoelectric DC conductivities from black hole horizons (2014, methodology): “This was precisely the construction of the anisotropic Q-lattices in [14].”
Charge transport in holography with momentum dissipation (2014, background): “It would be very interesting to make these deformations relevant while retaining homogeneity, like in [29], and investigate how and if these results change, particularly the various scaling behaviours.”
Holographic Quantum Matter (2016, background): “lattices’ [214], the background is invariant under a combination of translation combined with rotation under an internal U(1) symmetry.”
Universal diffusion in incoherent black holes (2016, unknown): “In particular we wish to consider the so-called holographic ‘Q-lattice models’ that were introduced in [21].”
A simple holographic model of momentum relaxation (2013, background): “This possibility was mentioned in [16, 18] and explored in some detail in [18], which appeared as this paper was being finalised.”
Holographic metals and insulators with helical symmetry (2014, methodology): “More recently, along similar lines, two more proposals appeared in [44] and [45].”
Novel metals and insulators from holography (2014, methodology): “These models share some similarities with a model studied in [24].”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, result): “We then compare these results to an explicit holographic theory, in which a hydrodynamic state (dual to the AdS4Schwarzschild black brane) is modified to include momentum dissipation by coupling it to spatially dependent sources for scalar operators (dual to massless scalar fields in the gravitation”