Transport coefficients from hyperscaling violating black brane: shear viscosity and conductivity

Abstract

We investigate two transport coefficients, shear viscosity and conductivity, in a non-relativistic boundary filed theory without hyperscaling symmetry, which is dual to a bulk charged hyperscaling violating black brane. Employing matching method, we obtain that the ratio of shear viscosity and the entropy density is alway $1/4\pi$ at any temperature, which satisfies the Kovtun-Starinets-Son (KSS) bound. Besides, we also present the universal formulas of AC conductivity, which is closely dependent on the relation between geometrical parameters $z$ and $\theta$. The optical conductivity at high frequency limit behaves with a (non)-power law scaling or approaches to be constant, depending on the choice of $z$ and $\theta$. This feature is different from the observes in Lifshitz black brane that the optical conductivity always complies with a (non)-power law scaling in high frequency limit when the Lifshitz exponent $z>1$. We also argue that the temperate has no print on the exponent of (non)-power law scaling in large frequency while it will affect the strength of conductivity at low frequency.

16 pages, 4 figures, references added

References in corpus (22)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Viscosity Bound and Causality Violation
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Shear Viscosity from Effective Couplings of Gravitons
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence
• Shear Modes, Criticality and Extremal Black Holes
• Lifshitz holography: The whole shebang
• Shear Viscosity from AdS Born-Infeld Black Holes
• DC Conductivities from Non-Relativistic Scaling Geometries with Momentum Dissipation
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation
• Electrically-Charged Lifshitz Spacetimes, and Hyperscaling Violations
• Dynamically generated gap from holography in the charged black brane with hyperscaling violation
• Hydrodynamics from scalar black branes
• Hydrodynamics in black brane with hyperscaling violation metric background
• Several integrals of quaternionic field on hyperbolic matrix space
• Crystalline geometries from fermionic vortex lattice with hyperscaling violation
• Scalar Boundary Conditions in Hyperscaling Violating Geometry
• Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale
• Holographic superconductor in hyperscaling violation geometry with Maxwell-dilaton coupling

Cited by in corpus (14)

• Holographic Shear Viscosity in Hyperscaling Violating Theories without Translational Invariance
• Greybody Factors of Holographic Superconductors with $z=2$ Lifshitz Scaling
• Holography for anisotropic branes with hyperscaling violation
• Absence of a Charge Diffusion Pole at Finite Energies in an Exactly Solvable Interacting Flat Band Model in d-dimensions
• Hyperscaling violation and the shear diffusion constant
• Lifshitz holographic superconductor in Horava-Lifshitz gravity
• Hyperscaling violation, quasinormal modes and shear diffusion
• Charge transport properties in a novel holographic quantum phase transition model
• Notes on hyperscaling violating Lifshitz and shear diffusion
• Scalar Boundary Conditions in Hyperscaling Violating Geometry
• Holographic superconductor in hyperscaling violation geometry with Maxwell-dilaton coupling
• Quantum Critical Diffusion and Thermodynamics in Lifshitz Holography
• A note on size-momentum correspondence and chaos
• Flow of shear response functions in hyperscaling violating Lifshitz theories