Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids

Abstract

The shear viscosity is an important characterization of how a many-body system behaves like a fluid. We study the shear viscosity in a strongly interacting solvable model, consisting of coupled Sachdev-Ye-Kitaev (SYK) islands. As temperature is lowered, the model exhibits a crossover from an incoherent metal with local criticality to a marginal fermi liquid. We find that while the ratio of shear viscosity to entropy density in the marginal Fermi liquid regime satisfies a Kovtun-Son-Starinets (KSS) like bound, it can strongly violate the KSS bound in a robust temperature range of the incoherent metal regime, implying a nearly perfect fluidity of the coupled local critical SYK model. Furthermore, this model also provides the first translationally invariant example violating the KSS bound with known gauge-gravity correspondence.

arXiv comment10 pages, 2 figures; more details added as appendix; and minor corrections

References in corpus (86)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• A bound on chaos
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Black holes and the butterfly effect
• Chaos in AdS${}_2$ holography
• The Spectrum in the Sachdev-Ye-Kitaev Model
• Negative local resistance caused by viscous electron backflow in graphene
• Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Viscosity Bound Violation in Higher Derivative Gravity
• Black Holes and Random Matrices
• Evidence for hydrodynamic electron flow in PdCoO${}_2$
• Bekenstein-Hawking Entropy and Strange Metals
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• Universal Quantum Viscosity in a Unitary Fermi Gas
• A Generalization of Sachdev-Ye-Kitaev
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma
• Momentum dissipation and effective theories of coherent and incoherent transport
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
• Numerical study of fermion and boson models with infinite-range random interactions
• Bi-Local Holography in the SYK Model
• Causality of Holographic Hydrodynamics
• Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N
• Viscosity and scale invariance in the unitary Fermi gas
• The complete $1/N$ expansion of a SYK--like tensor model
• Shear Viscosity from Effective Couplings of Gravitons
• Digital Quantum Simulation of Minimal AdS/CFT
• Supersymmetric SYK model and random matrix theory
• Higher Dimensional Generalizations of the SYK Model
• Quantum Chaos and Holographic Tensor Models
• The Shear Viscosity to Entropy Ratio: A Status Report
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
• Translationally invariant non-Fermi liquid metals with critical Fermi-surfaces: Solvable models
• Towards a 2d QFT Analog of the SYK Model
• A Supersymmetric SYK-like Tensor Model
• Approximating the Sachdev-Ye-Kitaev model with Majorana wires
• Viscosity bound violation in holographic solids and the viscoelastic response
• Shear viscosity and damping for a Fermi gas in the unitarity limit
• An upper bound on transport
• Entropy production, viscosity bounds and bumpy black holes
• Anomalous Thermal Diffusivity in Underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Magnetotransport in a model of a disordered strange metal
• Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma
• Viscosity Bound, Causality Violation and Instability with Stringy Correction and Charge
• 2D CFT Partition Functions at Late Times
• Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model
• Lovelock theories, holography and the fate of the viscosity bound
• Shear viscosity and instability from third order Lovelock gravity
• Shear viscosity in holography and effective theory of transport without translational symmetry
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Out-of-bounds hydrodynamics in anisotropic Dirac fluids
• Anisotropic plasma at finite $U(1)$ chemical potential
• Vector models and generalized SYK models
• Rainbow tensor model with enhanced symmetry and extreme melonic dominance
• Diffusion in higher dimensional SYK model with complex fermions
• Disorder in the Sachdev-Yee-Kitaev Model
• Quantum criticality and duality in the SYK/AdS${}_2$ chain
• Holographic Shear Viscosity in Hyperscaling Violating Theories without Translational Invariance
• Resistivity bound for hydrodynamic bad metals
• Topological Sachdev-Ye-Kitaev Model
• Hydrodynamics of a Black Brane in Gauss-Bonnet Massive Gravity
• Shear viscosity at the Ising-nematic quantum critical point in two dimensional metals
• Thickening and sickening the SYK model
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Quantum spin liquids and the metal-insulator transition in doped semiconductors
• Exact Embeddings of JT Gravity in Strings and M-theory
• Black Brane Solution in Rastall AdS Massive Gravity and Viscosity Bound
• Transport functions for hypercubic and Bethe lattices
• Large $N$ expansion of the moments and free energy of Sachdev-Ye-Kitaev model, and the enumeration of intersection graphs
• Shear Viscosity to Entropy Density Ratio in Higher Derivative Gravity with Momentum Dissipation
• Matrix Quantum Mechanics from Qubits
• Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$
• Magnetically-Charged Black Branes and Viscosity/Entropy Ratios
• Shear Viscosity in a Non-Fermi Liquid Phase of a Quadratic Semimetal
• Shear viscosity of strongly interacting fermionic quantum fluids

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