A simple holographic model of momentum relaxation

By Tomas Andrade, Benjamin Withers. 2013

455 citations recorded by the source corpus.

A bstractWe consider a holographic model consisting of Einstein-Maxwell theory in d + 1 bulk spacetime dimensions with d − 1 massless scalar fields. Momentum relaxation is realised simply through spatially dependent sources for operators dual to the neutral scalars, which can be engineered so that the bulk stress tensor and resulting black brane geometry are homogeneous and isotropic. We analytically calculate the DC conductivity, which is finite. In the d = 3 case, both the black hole geometry and shear-mode currentcurrent correlators are those of a sector of massive gravity.

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

View Paper: https://www.semanticscholar.org/paper/78dfb85b9f04b3b820853ac976c8890588641cf0

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Citations in the corpus

Novel metals and insulators from holography (2014, background): “This latter type of behaviour was also seen in [11,25] but, in contrast to what we find here, there it was in the context of non-vanishing entropy density and also with a temperature independent DC conductivity.”
The thermoelectric properties of inhomogeneous holographic lattices (2014, background): “Note, by contrast, that the T →∞ limit of the electrical conductivity for the Q-lattices diverges, except in the special case that the UV deformation is a marginal operator as in [11], for example.”
Holographic metals and insulators with helical symmetry (2014, background): “More recently, along similar lines, two more proposals appeared in [44] and [45].”
Holographic Quantum Matter (2016, methodology): “In particular, in a simple Einstein-Maxwell model with massive gravity [105] or axions [41], one finds the dc conductivity (581) with Z+ = Y+ = 1, which we readily see saturates (596) either when m → ∞ or ρ → 0.”
Universal diffusion in incoherent black holes (2016, background): “In Section 2 we begin by studying the diffusion constants of a neutral black hole in which momentum relaxation is incorporated through linear sources for massless scalars [20].”
Solid holography and massive gravity (2015, background): “The application of the scalar fields formalism to holographic massive gravity was initiated in [13, 14] and was instrumental in identifying the additional degrees of freedom as phonons [11].”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, methodology): “mass for the graviton, and there is a very close connection between ‘axionic’ black brane solutions and black brane solutions of theories of massive gravity [18, 26].”
Charge transport in holography with momentum dissipation (2014, background): “ directions. The similarity between the role of the axionic charge and the horizon curvature in the two metrics is striking. This family of solutions with the dilaton turned o was studied recently in [14], and earlier in [31] (see also [32] for families of axion-dilaton solutions with non-minimal co”
Thermoelectric DC conductivities from black hole horizons (2014, methodology): “Similar results were obtained in [7, 8], using a different approach based on massive gravity, extending [9– 11].”
Dissecting holographic conductivities (2015, methodology): “The O(m̃2) term agrees with that of [21], as it should (given the similarities between the gravity theories under study here and there [14]).”