Diffusivities bounds in the presence of Weyl corrections

TL;DR

This paper explores how Weyl corrections affect thermoelectric conductivities, diffusivities, and butterfly velocity, revealing violations of previously established bounds in the incoherent limit.

Contribution

It provides new insights into the impact of Weyl corrections on transport bounds and diffusion in holographic models with broken translational symmetry.

Findings

Weyl coupling $b3$ violates bounds on charge and energy diffusivity.

Weyl corrections violate the bound on DC electrical conductivity.

Results are obtained in the incoherent limit with momentum dissipation.

Abstract

In this paper, we investigate the behavior of the thermoelectric DC conductivities in the presence of Weyl corrections with momentum dissipation in the incoherent limit. Moreover, we compute the butterfly velocity and study the charge and energy diffusion with broken translational symmetry. Our results show that the Weyl coupling $\gamma$, violates the bounds on the charge and energy diffusivity. It is also shown that the Weyl corrections violate the bound on the DC electrical conductivity in the incoherent limit.