Diffusivities bounds and chaos in holographic Horndeski theories

Abstract

We study the thermoelectric DC conductivities of Horndeski holographic models with momentum dissipation. We compute the butterfly velocity $v_B$ and we discuss the existence of universal bounds on charge and energy diffusivities in the incoherent limit related to quantum chaos. We find that the Horndeski coupling represents a subleading contribution to the thermoelectric conductivities in the incoherent limit and therefore it does not affect any of the proposed bounds.

Figures (2)

• Figure 1: Heat capacity and charge susceptibility in the incoherent limit in function of the Horndeski coupling $\gamma$.
• Figure 2: Charge diffusivity in the incoherent limit in function of the Horndeski coupling $\gamma$: $\frac{D_c\,T}{v_B^2}|_{inc}$.