Holographic response from higher derivatives with homogeneous disorder

Abstract

In this letter, we study the charge response from higher derivatives over the background with homogeneous disorder introduced by axions. We first explore the bounds on the higher derivatives coupling from DC conductivity and the anomalies of causality and instabilities. Our results indicate no tighter constraints on the coupling than that over Schwarzschild-AdS (SS-AdS) background. And then we study the optical conductivity of our holographic system. We find that for the case with ${\gamma }_1<0$ and the disorder strength $\hat{\alpha }<2/\sqrt{3}$, there is a crossover from a coherent to incoherent metallic phase as $\hat{\alpha }$ increases. When $\hat{\alpha }$ is beyond $\hat{\alpha }=2/\sqrt{3}$ and further amplified, a peak exhibits again at low frequency. But it cannot be well fitted by the standard Drude formula and new formula for describing this behavior shall be called for. While for the holographic system with the limit of ${\gamma }_1\to 1/48$, the disorder effect drives the hard-gap-like at low frequency into the soft gap and suppresses the pronounced peak at medium frequency.

15 pages,6 figures

References in corpus (13)

• Holography without translational symmetry
• Momentum dissipation and effective theories of coherent and incoherent transport
• Holographic spectral functions and diffusion constants for fundamental matter
• Coherent/incoherent metal transition in a holographic model
• Conformal field theories at non-zero temperature: operator product expansions, Monte Carlo, and holography
• The 3+1 holographic superconductor with Weyl corrections
• p-Wave holographic superconductors with Weyl corrections
• The quasi-normal modes of quantum criticality
• Holographic insulator/superconductor phase transition with Weyl corrections
• Holographic p-wave superconductor models with Weyl corrections
• Holographic superconductor with momentum relaxation and Weyl correction
• Critical capacitance and charge-vortex duality near the superfluid to insulator transition
• Dynamical response near quantum critical points

Cited by in corpus (3)

• Holographic superconductivity from higher derivative theory
• Transport phenomena and Weyl correction in effective holographic theory of momentum dissipation
• EM duality and Quasi-normal modes from higher derivatives with homogeneous disorder