Conductivity in the anisotropic background

Abstract

By using the gauge/gravity duality, we investigate the dual field theories of the anisotropic backgrounds, which are exact solutions of Einstein-Maxwell-dilaton theory with a Liouville potential. When we turn on the bulk gauge field fluctuation $A_x$ with a non-trivial dilaton coupling, the AC conductivity of this dual field theory is proportional to the frequency with an exponent depending on parameters of the anisotropic background. In some parameter regions, we find that this conductivity can have the negative exponent like the strange metal. In addition, we also investigate another U(1) gauge field fluctuation, which is not coupled with a dilaton field. We classify all possible conductivities of this system and find that the exponent of the conductivity is always positive.

22 pages, 13 figures, added some comments and references

References in corpus (33)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Lectures on holographic methods for condensed matter physics
• Holographic Superconductors
• Gravity Duals of Lifshitz-like Fixed Points
• Lectures on Holographic Superfluidity and Superconductivity
• Holographic duality with a view toward many-body physics
• String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
• Emergent quantum criticality, Fermi surfaces, and AdS2
• Effective Holographic Theories for low-temperature condensed matter systems
• Non-Fermi liquids from holography
• Towards strange metallic holography
• Non-relativistic holography
• Powerlaw optical conductivity with a constant phase angle in high Tc superconductors
• Zero Temperature Limit of Holographic Superconductors
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Holography of Charged Dilaton Black Holes
• Black plane solutions in four dimensional spacetimes
• Black Holes as Elementary Particles
• Hall conductivity from dyonic black holes
• Peculiar properties of a charged dilatonic black hole in AdS_5
• Topological dilaton black holes
• Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
• Quantum Criticality and Holographic Superconductors in M-theory
• Field Theory at a Lifshitz Point
• Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
• Einstein-Maxwell-Dilaton theories with a Liouville potential
• On Existence of Self-Tuning Solutions in Static Braneworlds without Singularities
• Holographic Superconductor for a Lifshitz fixed point
• Strange Metallic Behavior in Anisotropic Background
• Holography of Charged Dilaton Black Holes in General Dimensions

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• Non-conformal Hydrodynamics in Einstein-dilaton Theory
• Strange Metallic Behaviour and the Thermodynamics of Charged Dilatonic Black Holes
• Transport in non-conformal holographic fluids
• A Massive Quasi-normal Mode in the Holographic Lifshitz Theory
• Taking a critical look at holographic critical matter
• Holography and hydrodynamics for EMD theory with two Maxwell fields
• Holographic superconductor in the exact hairy black hole
• Conductivities in an anisotropic medium
• Entanglement wedge method, out-of-time-ordered correlators, and pole skipping
• Notes on the holographic Lifshitz theory
• Trajectories of photons around a rotating black hole with unusual asymptotics
• Effective Lifshitz black holes, hydrodynamics, and transport coefficients in fluid/gravity correspondence