Transport phenomena and Weyl correction in effective holographic theory of momentum dissipation

Abstract

We construct a higher derivative theory involving an axionic field and the Weyl tensor in four dimensional spacetime. Up to the first order of the coupling parameters, the charged black brane solution with momentum dissipation in a perturbative manner is constructed. Metal-insulator transitions are implemented when varying the system parameters at zero temperature. Also, we study the transports including DC conductivity and optical conductivity at zero charge density. We observe the exact particle-vortex duality for some specific momentum dissipation strength.

33 pages, 29 figures

References in corpus (13)

• Viscosity Bound and Causality Violation
• Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
• Thermoelectric DC conductivities from black hole horizons
• Holographic spectral functions and diffusion constants for fundamental matter
• Quantum Critical Transport and the Hall Angle
• Holographic Metals and Insulators with Helical Symmetry
• Conformal field theories at non-zero temperature: operator product expansions, Monte Carlo, and holography
• The quasi-normal modes of quantum criticality
• Origin of the Drude peak and of zero sound in probe brane holography
• Higher derivative corrections to R-charged AdS_5 black holes and field redefinitions
• Holographic response from higher derivatives with homogeneous disorder
• Gravity, holography and applications to condensed matter
• Momentum dissipation and holographic transport without self-duality

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• Transport properties in the Horndeski holographic two-currents model
• EM duality and Quasi-normal modes from higher derivatives with homogeneous disorder