Magnetoconductivity in chiral Lifshitz hydrodynamics

TL;DR

This paper investigates how chiral anomalies and broken Lorentz invariance at Lifshitz fixed points influence magnetoconductivity, combining linear response theory and holographic methods to analyze both weak and strong coupling regimes.

Contribution

It introduces a novel parity odd effect in magnetoconductivity arising from Lifshitz invariance and develops a holographic model to compute these effects at strong coupling.

Findings

Identification of a pure parity odd contribution to magnetoconductivity.

Holographic computation of Lifshitz magnetoconductivity at strong coupling.

Analysis of chiral anomaly effects in Lifshitz hydrodynamics.

Abstract

In this paper, based on the principles of linear response theory, we compute the longitudinal DC conductivity associated with Lifshitz like fixed points in the presence of chiral anomalies in ($ 3+1 $) dimensions. In our analysis, apart from having the usual anomalous contributions due to chiral anomaly, we observe an additional and pure \textit{parity odd} effect to the magnetoconductivity which has its origin in the broken Lorentz (boost) invariance at a Lifshitz fixed point. We also device a holographic set up in order to compute ($ z=2 $) Lifshitz contributions to the magnetoconductivity precisely at strong coupling and low charge density limit.