Critical scaling of the AC conductivity and momentum dissipation

TL;DR

This paper investigates the behavior of AC conductivity in quantum critical holographic theories, revealing an intermediate frequency window where IR scaling behavior is prominently observed, even with momentum dissipation.

Contribution

It demonstrates the existence of a frequency window where IR scaling of AC conductivity is observable in holographic models with momentum dissipation.

Findings

IR scaling of AC conductivity is visible in an intermediate frequency window

The presence of momentum dissipation does not obscure IR scaling behavior

Holographic models exhibit clear scaling behavior in specific frequency regimes

Abstract

The scaling of the AC conductivity in quantum critical holographic theories at finite density, finite temperature and in the presence of momentum dissipation is considered. It is shown that there is generically an intermediate window of frequencies in which the IR scaling of the AC conductivity is clearly visible.