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Holographic Phonons
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We present a class of holographic massive gravity models that realize a spontaneous breaking of translational symmetry - they exhibit transverse phonon modes whose speed relates to the elastic shear modulus according to elasticity theory. Massive gravity theories thus emerge as versatile and convenient theories to model generic types of translational symmetry breaking: explicit, spontaneous and a mixture of both. The nature of the breaking is encoded in the radial dependence of the graviton mass. As an application of the model, we compute the temperature dependence of the shear modulus and find that it features a glass-like melting transition.
Forward citations
Cited by 5 Pith papers
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Topological charge and black hole photon spheres in massive gravity
In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
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Viscoelastic hydrodynamics and holography
A first-order relativistic hydrodynamics of anisotropic viscoelastic crystals, including new transport coefficients, a dual higher-form superfluid description, and holographic realizations.
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Thermodynamics and DC conductivity of 2D anisotropic fluids from axion holography
An anisotropic, single-axion holographic fluid is thermodynamically stable for all studied anisotropy and charge, with DC conductivity that vanishes at large anisotropy and passes through a metal-insulator transition.
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Holographic striped superconductor with ionic lattice
In a holographic model, a stronger ionic lattice suppresses the charge density wave phase, enhances the superconducting phase, and makes their coexisting striped superconducting state the most stable.
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AC charge transport in holographic Horndeski gravity
A holographic Horndeski model is found to exhibit a temperature-driven metal-semiconductor crossover, with AC conductivity that fits the Drude formula in the slow-relaxation regime.
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