Magneto-transport from momentum dissipating holography

TL;DR

This work develops a holographic framework with a massive graviton to model momentum dissipation in a strongly coupled 2+1 dimensional system under a perpendicular magnetic field, computing explicit DC thermo-electric transport coefficients. By expressing the results in terms of thermodynamics, a model-dependent zero-heat-current conductivity $\tilde{\sigma}$, and a momentum-dissipation parameter $h$, the authors obtain a universal-looking structure for $\sigma_{xx}$, $\sigma_{xy}$, $\alpha_{xx}$, $\alpha_{xy}$, $\bar{\kappa}_{xx}$, and $\bar{\kappa}_{xy}$ that remains valid beyond strict hydrodynamics and respects bulk electromagnetic duality. They further propose a holography-inspired phenomenology by promoting $\tilde{\sigma}$ and $h$ to temperature-dependent inputs and applying an inverse Matthiessen rule, deriving scaling trends for dc transport coefficients and comparing them with cuprate experiments, thereby offering a framework to test universal transport features in strongly correlated materials. The work highlights potential universality in transport structures across holographic models with momentum dissipation and motivates embedding these phenomenological insights into more complete holographic constructions. Overall, the study provides a concrete bridge between holographic transport calculations and experimental cuprate phenomenology, with clear directions for refining the momentum-dissipation description and exploring duality-based interpretations.

Abstract

We obtain explicit expressions for the thermoelectric transport coefficients of a strongly coupled, planar medium in the presence of an orthogonal magnetic field and momentum-dissipating processes. The computations are performed within the gauge/gravity framework where the momentum dissipation mechanism is introduced by including a mass term for the bulk graviton. Relying on the structure of the computed transport coefficients and promoting the parameters to become dynamical functions, we propose a holography inspired phenomenology open to a direct comparison with experimental data from the cuprates.