Diffusivities bounds and chaos in holographic Horndeski theories

Abstract

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.

Keywords

• Holography and condensed matter physics (AdS/CMT)
• Black Holes
• Gaugegravity correspondence