Momentum dissipation and holographic transport without self-duality

Abstract

We implement the momentum dissipation introduced by spatial linear axionic fields in a holographic model without self-duality, broke by Weyl tensor coupling to Maxwell field, and study its response. It is found that for the positive Weyl coupling parameter $\gamma >0$, the momentum dissipation characterized by parameter $\hat{\alpha }$ drives the boundary conformal field theory (CFT), in which the conductivity exhibits a peak at low frequency, into the incoherent metallic phase with a dip, which is away from CFT due to the introduction of axionic fields. While for $\gamma <0$, an oppositive scenario is found. Our present model provides a possible route toward the problem that which sign of $\gamma$ is the correct description of the CFT of boson Hubbard model. In addition, we also investigate the DC conductivity, diffusion constant and susceptibility. We find that for each of these observables there is a specific value of $\hat{\alpha }$, for which these observables are independent of $\gamma$. Finally, the electromagnetic (EM) duality is also studied and we find that there is also a specific value of $\hat{\alpha }$, for which the particle-vortex duality related by the change of the sign of $\gamma$ in the boundary theory holds better than for other values of $\hat{\alpha }$.

33 pages, 14 figures, typo corrected, references added

References in corpus (22)

• Viscosity Bound and Causality Violation
• Theory of universal incoherent metallic transport
• Quantum critical transport in clean graphene
• Quantum critical transport, duality, and M-theory
• Holography without translational symmetry
• Momentum dissipation and effective theories of coherent and incoherent transport
• Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
• Holographic spectral functions and diffusion constants for fundamental matter
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Coherent/incoherent metal transition in a holographic model
• Metal-insulator Transition by Holographic Charge Density Waves
• Conformal field theories at non-zero temperature: operator product expansions, Monte Carlo, and holography
• The 3+1 holographic superconductor with Weyl corrections
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• Electromagnetic properties of viscous charged fluids
• Holographic insulator/superconductor phase transition with Weyl corrections
• Holographic superconductors from the massive gravity
• Holographic p-wave superconductor models with Weyl corrections
• Higher derivative corrections to R-charged AdS_5 black holes and field redefinitions
• Critical capacitance and charge-vortex duality near the superfluid to insulator transition
• Dynamical response near quantum critical points

Cited by in corpus (2)

• Holographic superconductivity from higher derivative theory
• Transport phenomena and Weyl correction in effective holographic theory of momentum dissipation