AC conductivity for a holographic Weyl Semimetal

TL;DR

This paper investigates the AC electrical conductivity at zero temperature in a holographic Weyl semimetal model, revealing a linear frequency dependence and a quantum phase transition with intermediate scaling behavior.

Contribution

It introduces a holographic model capturing the quantum phase transition and intermediate scaling in Weyl semimetals, aligning theoretical predictions with experimental observations.

Findings

Linear AC conductivity at low frequencies

Identification of a quantum critical region

Qualitative agreement with experimental data

Abstract

We study the AC electrical conductivity at zero temperature in a holographic model for a Weyl semimetal. At small frequencies we observe a linear dependence in the frequency. The model shows a quantum phase transition between a topological semimetal (Weyl semimetal phase) with a non vanishing anomalous Hall conductivity and a trivial semimetal. The AC conductivity has an intermediate scaling due to the presence of a quantum critical region in the phase diagram of the system. The phase diagram is reconstructed using the scaling properties of the conductivity. We compare with the experimental data of [1502.03807] obtaining qualitative agreement.