Hydrodynamic magneto-transport in charge density wave states

TL;DR

This paper develops a hydrodynamic framework to analyze magneto-transport in charge density wave states, providing explicit formulas for transport coefficients and clarifying the role of momentum dissipation in different regimes.

Contribution

It introduces analytic expressions for hydrodynamic transport coefficients in charge density wave systems under magnetic fields, connecting thermodynamics and conductivities, and clarifies the transition between pseudo-spontaneous and explicit regimes.

Findings

Derived explicit formulas for transport coefficients.

Identified the role of momentum dissipation rate.

Clarified relations between hydrodynamic coefficients in holographic models.

Abstract

In this paper we study the dynamical properties of charged systems immersed in an external magnetic field and perturbed by a set of scalar operators breaking translations either spontaneously or pseudo-spontaneously. By combining hydrodynamic and quantum field theory arguments we provide analytic expressions for all the hydrodynamic transport coefficients relevant for the diffusive regime in terms of thermodynamic quantities and DC thermo-electric conductivities. This includes the momentum dissipation rate. We shed light on the role of the momentum dissipation rate in the transition between the pseudo-spontaneous and the purely explicit regimes in this class of systems. Finally, we clarify several relations between the hydrodynamic transport coefficients which have been observed in the holographic literature of charge density wave models.