Diffusivities bounds and chaos in holographic Horndeski theories

Abstract

We study the thermoelectric DC conductivities of Horndeski holographic models with momentum dissipation. We compute the butterfly velocity $v_B$ and we discuss the existence of universal bounds on charge and energy diffusivities in the incoherent limit related to quantum chaos. We find that the Horndeski coupling represents a subleading contribution to the thermoelectric conductivities in the incoherent limit and therefore it does not affect any of the proposed bounds.

16 pages + 3 appendices, 2 figures; v2: references added, typo corrected ; v3: minor revisions, references added, version published in JHEP

References in corpus (29)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Theory of universal incoherent metallic transport
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Quantum Criticality
• Holographic quantum matter
• Slow scrambling in disordered quantum systems
• Scrambling and thermalization in a diffusive quantum many-body system
• Holography without translational symmetry
• Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
• Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
• Thermoelectric DC conductivities from black hole horizons
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Quantum chaos on a critical Fermi surface
• Quantum Critical Transport and the Hall Angle
• Holographic Metals and Insulators with Helical Symmetry
• Memory matrix theory of magnetotransport in strange metals
• Coherent/incoherent metal transition in a holographic model
• Diffusion and Chaos from near AdS${}_2$ horizons
• Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• Charge diffusion and the butterfly effect in striped holographic matter
• Conductivity of a strange metal: from holography to memory functions
• Higher derivative corrections to incoherent metallic transport in holography
• Building a Holographic Superconductor with a Scalar Field Coupled Kinematically to Einstein Tensor
• On Butterfly effect in Higher Derivative Gravities
• Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity
• Note on the butterfly effect in holographic superconductor models
• Resistivity bound for hydrodynamic bad metals
• Holographic DC conductivity and Onsager relations

Cited by in corpus (59)

• Thermal diffusivity and chaos in metals without quasiparticles
• An upper bound on transport
• Black hole elasticity and gapped transverse phonons in holography
• Holographic Axion Model: a simple gravitational tool for quantum matter
• Investigating shadow images and rings of the charged Horndeski black hole illuminated by various thin accretions
• Rings and images of Horndeski hairy black hole illuminated by various thin accretions
• Operator size at finite temperature and Planckian bounds on quantum dynamics
• Thermal diffusivity and butterfly velocity in anisotropic Q-Lattice models
• Axionic black branes in the k-essence sector of the Horndeski model
• Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
• Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
• Universal Bounds on Transport in Holographic Systems with Broken Translations
• Holographic Heat Current as Noether Current
• Pole skipping away from maximal chaos
• Holographic Complexity Growth Rate in Horndeski Theory
• A Holographic Superfluid Symphony
• Thermal Diffusion and Quantum Chaos in Neutral Magnetized Plasma
• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• On the universality of AdS${}_2$ diffusion bounds and the breakdown of linearized hydrodynamics
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• Deep learning bulk spacetime from boundary optical conductivity
• Quasi-Topological Ricci Polynomial Gravities
• AdS/BCFT correspondence and BTZ black hole thermodynamics within Horndeski gravity
• Weyl corrections to diffusion and chaos in holography
• Boomerang RG flows with intermediate conformal invariance
• An a-theorem for Horndeski Gravity at the Critical Point
• Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
• Collective diffusion and quantum chaos in holography
• Shear viscosity from black holes in generalized scalar-tensor theories in arbitrary dimensions
• Holographic Butterfly Effect and Diffusion in Quantum Critical Region
• Black branes in asymptotically Lifshitz spacetime and viscosity/entropy ratios in Horndeski gravity
• Kasner interiors from analytic hairy black holes
• On the Butterfly Effect in 3D Gravity
• Upper bound of the charge diffusion constant in holography
• Exploring the black hole spectrum of axionic Horndeski theory
• Horndeski Gravity and the Violation of Reverse Isoperimetric Inequality
• Scalar field perturbation around a rotating hairy black hole: quasinormal modes, quasibound states and superradiant instability
• Diffusion for Holographic Lattices
• Diffusion in inhomogeneous media
• Constraints on hydrodynamics from many-body quantum chaos
• Scale Invariance vs. Conformal Invariance: Holographic Two-Point Functions in Horndeski Gravity
• Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids
• Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
• Spontaneous Momentum Dissipation and Coexistence of Phases in Holographic Horndeski Theory
• Diffusivities bounds in the presence of Weyl corrections
• AC charge transport in holographic Horndeski gravity
• On pole-skipping with gauge-invariant variables in holographic axion theories
• Holographic subdiffusion
• Violation of Thermal Conductivity Bound in Horndeski Theory
• Godel Metrics with Chronology Protection in Horndeski Gravities
• Quartic Horndeski, planar black holes, holographic aspects and universal bounds
• Transport properties in the Horndeski holographic two-currents model
• Transport properties of a $3$-dimensional holographic effective theory with gauge-axion coupling
• Butterfly Velocity in Quadratic Gravity
• Action Growth of Dyonic Black Holes and Electromagnetic Duality
• The effect of three matters on KSS bound
• Deep learning-based holography for T-linear resistivity
• Generalized superconductors from the coupling of a scalar field to the Einstein tensor and their refractive index in massive gravity
• Conductivity and Shear Viscosity of $arcsin$-Yang-Mills AdS Black Brane