A simple holographic model for spontaneous breaking of translational symmetry

Li, Weijia; Wu, Jian-Pin

doi:10.1140/epjc/s10052-019-6761-0

Cited by 32 publications

(27 citation statements)

References 69 publications

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“…From the intuition of weakly interacting theory, this is surprising since one expects that interactions smooth out the particle character rather than create it. This feature of the optical conductivity is similar to the pinning effect [19,20,[28][29][30][31][32][33] where charge density wave (CDW) is pinned by impurity so that only in a window of frequencies the charge density wave (CDW) can slide. Therefore, we will call this peak as 'pinning peak'.…”

Section: Interaction Induced Quasi-particles In Ac Conductivitymentioning

confidence: 76%

Interaction induced quasi-particle spectrum in holography

Song

Seo

Kim

et al. 2019

J. High Energ. Phys.

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It is often said that interactions destroy the particle nature of excitations. We report that, in holographic theory adding interaction term can create a new quasi particle spectrum, on the contrary. We show this by calculating the optical conductivity in a model with exact background solution and finding a new quasi-particle spectrum. Such new poles are consequence of some non-minimal interaction like Chern-Simon term. We also point out that the origin of the new peak in our example is the vortex formation by the anomalous magnetic moment induced by the interaction term.

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Section: Interaction Induced Quasi-particles In Ac Conductivitymentioning

confidence: 76%

Interaction induced quasi-particle spectrum in holography

Song

Seo

Kim

et al. 2019

J. High Energ. Phys.

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“…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%

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

Baggioli

Grieninger

2019

J. High Energ. Phys.

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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“…In the last years, several holographic models exhibiting elastic properties and propagating phonons have been introduced [69][70][71][72][73]. In this work, we ask the very simple question: is the speed of sound bounded in these models and by what?…”

Section: A U S a L I T Y Q U A N T U M M E C H A N I C Smentioning

confidence: 99%

Universal bounds on transport in holographic systems with broken translations

Baggioli

2020

SciPost Phys.

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We study the presence of universal bounds on transport in homogeneous holographic models with broken translations. We verify numerically that, in holographic systems with momentum dissipation, the viscosity to entropy bound might be violated but the shear diffusion constant remains bounded by below. This confirms the idea that \eta/sη/s loses its privileged role in non-relativistic systems and that, in order to find more universal bounds, one should rather look at diffusion constants. We strengthen this idea by showing that, in presence of spontaneously broken translations, the Goldstone diffusion constant satisfies a universal lower bound in terms of the Planckian relaxation time and the butterfly velocity. Additionally, all the diffusive processes in the model satisfy an upper bound, imposed by causality, which is given in terms of the thermalization time – the imaginary part of the first non-hydrodynamic mode in the spectrum – and the speed of longitudinal sound. Finally, we discuss the existence of a bound on the speed of sound in holographic conformal solids and we show that the conformal value acts as a lower (and not upper) bound on the speed of longitudinal phonons. Nevertheless, we show that the stiffness \partial p/\partial \epsilon∂p/∂ϵ is still bounded by above by its conformal value. This suggests that the bounds conjectured in the past have to be considered on the stiffness of the system, related to its equation of state, and not on the propagation speed of sound.

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A simple holographic model for spontaneous breaking of translational symmetry

Cited by 32 publications

References 69 publications

Interaction induced quasi-particle spectrum in holography

Interaction induced quasi-particle spectrum in holography

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

Universal bounds on transport in holographic systems with broken translations

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