Pinning of longitudinal phonons in holographic spontaneous helices

Andrade, Tomás; Baggioli, Matteo; Krikun, Alexander; Poovuttikul, Napat

doi:10.1007/jhep02(2018)085

Cited by 76 publications

(149 citation statements)

References 90 publications

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“…where the ellipsis indicates higher order corrections in the dimensionless parameter m/T . This second hydrodynamic modes appears in the spectrum obtained numerically and it was already observed in [60,61,70]. In fig.12 we show the results for a specific value of the SSB parameter m/T .…”

Section: The Longitudinal Sectorsupporting

confidence: 73%

“…As we can see in fig.19, in this case, at zero EXB, there is an additional hydrodynamic mode. Such a mode represents the crystal diffusion mode discussed and observed in [4,60] and it appears to be completely decoupled from the dynamics of the other modes. In absence of explicit breaking, its dispersion relation is of the type: ω = − i D φ k 2 (5.16) and it represents an additional hydrodynamic mode, corresponding to the conservation of the phase of the Goldstone modes.…”

Section: The Longitudinal Sectormentioning

confidence: 86%

“…The validity and role of this relation for phonons have been already discussed in the context of field theory and holography in [26,29,35,60,[65][66][67][68]. Moreover, it has been shown in the previous literature [26,29,35], that, in the transverse sector, the pseudo-Goldstone modes appear from an interesting dynamics between two light modes, governed by the expression:…”

Section: Pseudo-phonons In Holographic Fluidsmentioning

confidence: 91%

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Zoology of solid & fluid holography — Goldstone modes and phase relaxation

Baggioli

Grieninger

2019

J. High Energ. Phys.

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100

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We provide a comprehensive classification of isotropic solid and fluid holographic models with broken translational invariance. We describe in detail the collective modes in both the transverse and longitudinal sectors. First, we discuss holographic fluid models, i.e. systems invariant under internal volume preserving diffeomorphisms. We consider the explicit (EXB) and the spontaneous (SSB) breaking of translations and we emphasize the differences with respect to their solid counterpart. Then, we present a study of the longitudinal collective modes in simple holographic solid and fluid models exhibiting the interplay between SSB and EXB. We confirm the presence of light pseudo-phonons obeying the Gell-Mann-Oakes-Renner relation. Our results suggest that the crystal diffusion mode does not acquire a simple damping term because of the novel relaxation scale proportional to the EXB. The dynamics is more complex and it involves the interplay of three modes: the crystal diffusion and two more arising from the splitting of the original sound mode. In this sense, the novel relaxation scale, which comes from the explicit breaking of the global internal shift symmetry of the Stückelberg fields, is different from the one induced by elastic defects, and depending solely on the SSB scale.

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Section: The Longitudinal Sectorsupporting

confidence: 73%

Section: The Longitudinal Sectormentioning

confidence: 86%

Section: Pseudo-phonons In Holographic Fluidsmentioning

confidence: 91%

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Zoology of solid & fluid holography — Goldstone modes and phase relaxation

Baggioli

Grieninger

2019

J. High Energ. Phys.

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100

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“…Simpler homogeneous models were investigated in [37][38][39][40]. This opened the way to extensive studies of the effective low energy dynamics of holographic density waves, pinned or not, [1,19,24,25,[41][42][43][44][45][46][47]. The effective, hydrodynamic theory of pinned charge density waves of [22,23] provides in most cases the correct framework to interpret these results.…”

Section: Introductionmentioning

confidence: 99%

Gapless and gapped holographic phonons

et al. 2020

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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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“…Reference [68] investigates the conductivity and pinning of a spontaneously striped phase of a holographic Bianchi VII construction in the presence of an explicit lattice. Reference [69] studies transverse, gapped pseudophonons in the context of a holographic massive gravity model.…”

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confidence: 99%

Pinning of holographic sliding stripes

2017

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In a holographic probe-brane model exhibiting a spontaneously spatially modulated ground state, we introduce explicit sources of symmetry breaking in the form of ionic and antiferromagnetic lattices. For the first time in a holographic model, we demonstrate pinning, in which the translational Goldstone mode is lifted by the introduction of explicit sources of translational symmetry breaking. The numerically computed optical conductivity fits very well to a Drude-Lorentz model with a small residual metallicity, precisely matching analytic formulas for the DC conductivity. We also find an instability of the striped phase in the presence of a large-amplitude ionic lattice.

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Pinning of longitudinal phonons in holographic spontaneous helices

Cited by 76 publications

References 90 publications

Zoology of solid & fluid holography — Goldstone modes and phase relaxation

Zoology of solid & fluid holography — Goldstone modes and phase relaxation

Gapless and gapped holographic phonons

Pinning of holographic sliding stripes

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