# Anomalous transport and holographic momentum relaxation

## TL;DR

This paper investigates anomalous transport phenomena like chiral magnetic and vortical effects within holographic models that incorporate momentum relaxation, revealing that certain conductivities are unaffected by disorder while others can vanish.

## Contribution

It introduces a holographic model with translation symmetry breaking and proposes a new energy-momentum tensor definition to analyze anomalous transport.

## Key findings

- DC conductivity can vanish for specific disorder couplings.
- Chiral magnetic and vortical conductivities are independent of disorder.
- New energy-momentum tensor definition in presence of gravitational Chern-Simons.

## Abstract

The chiral magnetic and vortical effects denote the generation of dissipationless currents due to magnetic fields or rotation. They can be studied in holographic models with Chern-Simons couplings dual to anomalies in field theory. We study a holographic model with translation symmetry breaking based on linear massless scalar field backgrounds. We compute the electric DC conductivity and find that it can vanish for certain values of the translation symmetry breaking couplings. Then we compute the chiral magnetic and chiral vortical conductivities. They are completely independent of the holographic disorder couplings and take the usual values in terms of chemical potential and temperature. To arrive at this result we suggest a new definition of energy-momentum tensor in presence of the gravitational Chern-Simons coupling.