Magnetotransport from the fluid/gravity correspondence

TL;DR

This paper derives hydrodynamic constitutive relations for a holographic model with broken translation invariance under magnetic fields, revealing new insights into magnetothermoelectric responses using the fluid/gravity correspondence.

Contribution

It introduces a novel hydrodynamic framework incorporating magnetic fields in holography, extending previous models and connecting to the horizon-fluid approach.

Findings

Derived low-frequency magnetothermoelectric response coefficients.

Established equivalence with the horizon-fluid approach.

Analyzed the DC limit of the hydrodynamics.

Abstract

We continue our construction of a hydrodynamical description of a holographic model with broken translation invariance. Using the fluid/gravity correspondence we derive the constitutive relations of the boundary theory in the presence of a magnetic field. This allows us to obtain novel results for the low-frequency magnetothermoelectric response coefficients. We discuss the DC limit of our hydrodynamics in detail, and show that our approach is equivalent to the `horizon-fluid' of Donos and Gauntlett.