Solid holography and massive gravity

Alberte, Lāsma; Baggioli, Matteo; Khmelnitsky, Andrei; Pujolàs, Oriol

doi:10.1007/jhep02(2016)114

Cited by 127 publications

(228 citation statements)

References 103 publications

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“…Only very recently a proposal has appeared for the gravitational dual of elasticity in terms of the "Stueckelberg star" [215]. This is in a boundary language which is closely related to the language we have been using.…”

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confidence: 70%

Dual gauge field theory of quantum liquid crystals in two dimensions

et al. 2017

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We present a self-contained review of the theory of dislocation-mediated quantum melting at zero temperature in two spatial dimensions. The theory describes the liquid-crystalline phases with spatial symmetries in between a quantum crystalline solid and an isotropic superfluid: quantum nematics and smectics. It is based on an Abelian-Higgs-type duality mapping of phonons onto gauge bosons ("stress photons"), which encode for the capacity of the crystal to propagate stresses. Dislocations and disclinations, the topological defects of the crystal, are sources for the gauge fields and the melting of the crystal can be understood as the proliferation (condensation) of these defects, giving rise to the Anderson-Higgs mechanism on the dual side. For the liquid crystal phases, the shear sector of the gauge bosons becomes massive signaling that shear rigidity is lost. After providing the necessary background knowledge, including the order parameter theory of two-dimensional quantum liquid crystals and the dual theory of stress gauge bosons in bosonic crystals, the theory of melting is developed step-by-step via the disorder theory of dislocation-mediated melting. Resting on symmetry principles, we derive the phenomenological imaginary time actions of quantum nematics and smectics and analyze the full spectrum of collective modes. The quantum nematic is a superfluid having a true rotational Goldstone mode due to rotational symmetry breaking, and the origin of this 'deconfined' mode is traced back to the crystalline phase. The two-dimensional quantum smectic turns out to be a dizzyingly anisotropic phase with the collective modes interpolating between the solid and nematic in a non-trivial way. We also consider electrically charged bosonic crystals and liquid crystals, and carefully analyze the electromagnetic response of the quantum liquid crystal phases. In particular, the quantum nematic is a real superconductor and shows the Meissner effect. Their special properties inherited from spatial symmetry breaking show up mostly at finite momentum, and should be accessible by momentum-sensitive spectroscopy.

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confidence: 70%

Dual gauge field theory of quantum liquid crystals in two dimensions

et al. 2017

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“…where 20) and c d and c d are numerical factors, one can easily find that the entanglement entropy in this limit reads…”

Section: Jhep10(2016)135mentioning

confidence: 99%

“…Breaking the translational symmetry itself can be done within different mechanisms. This is studied either by considering impurities in the system [10][11][12], breaking the diffeomorphism invariance in the bulk theory [13][14][15], turning on spatial dependent sources [16][17][18][19][20][21] or considering backreacted geometries from probe charged matter [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Non-local probes in holographic theories with momentum relaxation

Mozaffar

Mollabashi

Omidi

2016

J. High Energ. Phys.

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We consider recently introduced solutions of Einstein gravity with minimally coupled massless scalars. The geometry is homogeneous, isotropic and asymptotically anti de-Sitter while the scalar fields have linear spatial-dependent profiles. The spatiallydependent marginal operators dual to scalar fields cause momentum dissipation in the deformed dual CFT. We study the effect of these marginal deformations on holographic entanglement measures and Wilson loop. We show that the structure of the universal terms of entanglement entropy for d > 2-dim deformed CFTs is corrected depending on the geometry of the entangling regions. In d = 2 case, the universal term is not corrected while momentum relaxation leads to a non-critical correction. We also show that decrease of the correlation length causes: the phase transition of holographic mutual information to happen at smaller separations and the confinement/deconfinement phase transition to take place at smaller critical lengths. The effective potential between point like external objects also gets corrected. We show that the strength of the corresponding force between these objects is an increasing function of the momentum relaxation parameter.

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“…We found that Ω Gm 2 Ξ, where Ξ ≡ ξ /(K + G) is defined from the bulk and shear moduli K, G and the longitudinal phonon diffusivity ξ . 56 In other words, the ratio Ω/m 2 , where both quantities depend on the microscopic details of the system and of the breaking of translations, is given by universal thermodynamic and hydrodynamic data.…”

Section: Introductionmentioning

confidence: 99%

Gapless and gapped holographic phonons

Amoretti

Areán

Goutéraux

et al. 2020

J. High Energ. Phys.

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We study a holographic model where translations are both spontaneously and explicitly broken, leading to the presence of (pseudo)-phonons in the spectrum. The weak explicit breaking is due to two independent mechanisms: a small source for the condensate itself and additional linearly space-dependent marginal operators. The low energy dynamics of the model is described by Wigner crystal hydrodynamics. In absence of a source for the condensate, the phonons remain gapless, but momentum is relaxed. Turning on a source for the condensate damps and pins the phonons. Finally, we verify that the universal relation between the phonon damping rate, mass and diffusivity reported in [1] continues to hold in this model for weak enough explicit breaking.1 These holographic homogeneous models inspired analogous constructions [20] which account for the translation-breaking dynamics in a purely field-theoretical context. For a generalization of such constructions to inhomogeneous case see [21]. 2 The pinning frequency can also be written more intuitively as ω o = c ⊥ k o with k o ≡ m the inverse length scale defined by the phonon mass and c ⊥ ≡ G/χ P P the shear sound velocity. 10 Based on private communication with the authors of [46] and [48].

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Solid holography and massive gravity

Cited by 127 publications

References 103 publications

Dual gauge field theory of quantum liquid crystals in two dimensions

Dual gauge field theory of quantum liquid crystals in two dimensions

Non-local probes in holographic theories with momentum relaxation

Gapless and gapped holographic phonons

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