# Chiral vortical conductivity across a topological phase transition from holography

## TL;DR

This paper investigates the temperature-dependent behavior of chiral vortical conductivity in a holographic Weyl semimetal model, revealing universal ratios at low temperatures and a dependence on Lifshitz scaling at the quantum critical point.

## Contribution

It introduces a holographic model to analyze the chiral vortical conductivity across a topological phase transition, highlighting universal and scaling behaviors.

## Key findings

- Renormalized chiral vortical ratio is universal at low temperatures.
- Ratio depends only on Lifshitz scaling exponent at the quantum critical point.
- Temperature squared and anomalous Hall conductivity are key in renormalization.

## Abstract

We study the chiral vortical conductivity in a holographic Weyl semimetal model, which describes a topological phase transition from the strongly coupled topologically nontrivial phase to a trivial phase. We focus on the temperature dependence of the chiral vortical conductivity where the mixed gauge-gravitational anomaly plays a crucial role. After a proper renormalization of the chiral vortical conductivity by the anomalous Hall conductivity and temperature squared, we find that at low temperature in both the Weyl semimetal phase and the quantum critical region this renormalized ratio stays as universal constants. More intriguingly, this ratio in the quantum critical region depends only on the emergent Lifshitz scaling exponent at the quantum critical point.