# Diffusivities bounds and chaos in holographic Horndeski theories

## TL;DR

This paper investigates the thermoelectric conductivities and quantum chaos bounds in Horndeski holographic models, finding that Horndeski coupling does not alter proposed diffusivity bounds in the incoherent limit.

## Contribution

It analyzes the impact of Horndeski coupling on diffusivity bounds and quantum chaos in holographic models, showing the coupling's subleading role.

## Key findings

- Horndeski coupling does not affect diffusivity bounds
- Butterfly velocity computed in the models
- Thermoelectric conductivities are dominated by other factors

## 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.