Quartic Horndeski, planar black holes, holographic aspects and universal bounds

Figueroa, José

doi:10.1007/jhep09(2020)090

Cited by 7 publications

(2 citation statements)

References 78 publications

(141 reference statements)

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“…(1.1) could be violated by breaking explicitly and/or spontaneously spacetime symmetries, such as translations and rotations. 1 The references reporting on these violations are indeed several [26][27][28][29][30][31][32]. From the physical point of view, these cases were accompanied by the observation that the ratio η/s plays a very special role only in relativistic neutral fluids, while it is not connected with any specific transport properties otherwise.…”

Section: Jaqueline Woodsonmentioning

confidence: 99%

On the universality of AdS2 diffusion bounds and the breakdown of linearized hydrodynamics

Ning

Baggioli

2021

J. High Energ. Phys.

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The chase of universal bounds on diffusivities in strongly coupled systems and holographic models has a long track record. The identification of a universal velocity scale, independent of the presence of well-defined quasiparticle excitations, is one of the major challenges of this program. A recent analysis, valid for emergent IR fixed points exhibiting local quantum criticality, and dual to IR AdS2 geometries, suggests to identify such a velocity using the time and length scales at which hydrodynamics breaks down — the equilibration velocity. The latter relates to the radius of convergence of the hydrodynamic expansion and it is extracted from a collision between a hydrodynamic diffusive mode and a non-hydrodynamic mode associated to the IR AdS2 region. In this short note, we confirm this picture for holographic systems displaying the spontaneous breaking of translational invariance. Moreover, we find that, at zero temperature, the lower bound set by quantum chaos and the upper one defined by causality and hydrodynamics exactly coincide, determining uniquely the diffusion constant. Finally, we comment on the meaning and universality of this newly proposed prescription.

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Section: Jaqueline Woodsonmentioning

confidence: 99%

On the universality of AdS2 diffusion bounds and the breakdown of linearized hydrodynamics

Ning

Baggioli

2021

J. High Energ. Phys.

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“…The violation of the above bound was found in Horndeski's theory where its Lagrangian contains terms that have more than two derivatives[43,44].…”

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confidence: 99%

Thermoelectric transport in holographic quantum matter under shear strain

Ji¹,

Li²,

Sun³

2022

Commun. Theor. Phys.

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We study the thermoelectric transport under shear strain in two spatial dimensional quantum matter using the holographic duality. General analytic formulae for the DC thermoelectric conductivities subjected to finite shear strain are obtained in terms of the black hole horizon data. Off-diagonal terms in the conductivity matrix also appear at zero magnetic field, resembling an emergent electronic nematicity, which cannot nevertheless be identified with the presence of an anomalous Hall effect. For an explicit model study, we numerically construct a family of strained black holes and obtain the corresponding nonlinear stress-strain curves. We then compute all electric, thermoelectric, and thermal conductivities and discuss the effects of strain. While the shear elastic deformation does not affect the temperature dependence of thermoelectric and thermal conductivities quantitatively, it can strongly change the behavior of the electric conductivity. For both shear hardening and softening cases, we find a clear metal-insulator transition driven by the shear deformation. Moreover, the violation of the previously conjectured thermal conductivity bound is observed for large shear deformation.

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Magnetotransport and complexity of holographic metal-insulator transitions

2020

J. High Energ. Phys.

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We study the magnetotransport in a minimal holographic setup of a metal- insulator transition in two spatial dimensions. Some generic features are obtained without referring to the non-linear details of the holographic theory. The temperature dependence of resistivity is found to be well scaled with a single parameter T0, which approaches zero at some critical charge density ρc, and increases as a power law T0∼ |ρ − ρc|1/2 both in metallic (ρ > ρc) and insulating (ρ < ρc) regions in the vicinity of the transition. Similar features also happen by changing the disorder strength as well as magnetic field. By requiring a positive definite longitudinal conductivity in the presence of an applied magnetic field restricts the allowed parameter space of theory parameters. We explicitly check the consistency of parameter range for two representative models, and compute the optical conductivities for both metallic and insulating phases, from which a disorder- induced transfer of spectral weight from low to high energies is manifest. We construct the phase diagram in terms of temperature and disorder strength. The complexity during the transition is studied and is found to be not a good probe to the metal-insulator transition.

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Quartic Horndeski, planar black holes, holographic aspects and universal bounds

Cited by 7 publications

References 78 publications

On the universality of AdS2 diffusion bounds and the breakdown of linearized hydrodynamics

On the universality of AdS2 diffusion bounds and the breakdown of linearized hydrodynamics

Thermoelectric transport in holographic quantum matter under shear strain

Magnetotransport and complexity of holographic metal-insulator transitions

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