Bounds on charge and heat diffusivities in momentum dissipating holography

TL;DR

This paper explores universal bounds on charge and heat diffusion in holographic models with momentum dissipation, finding temperature-dependent resistivity and entropy, and establishing bounds on thermo-electric diffusion constants.

Contribution

It provides analytical evidence for Planckian bounds in holographic models with momentum dissipation, extending the understanding of diffusion limits in strongly coupled systems.

Findings

Linear in temperature resistivity observed

Entropy density scales linearly with temperature

Sum of thermo-electric diffusion constants is bounded

Abstract

Inspired by a recently conjectured universal bound for thermo-electric diffusion constants in quantum critical, strongly coupled systems and relying on holographic analytical computations, we investigate the possibility of formulating Planckian bounds in different holographic models featuring momentum dissipation. For a simple massive gravity dilaton model at zero charge density we find robust linear in temperature resistivity and entropy density alongside a constant electric susceptibility. In addition we explicitly find that the sum of the thermo-electric diffusion constants is bounded.