Parity Breaking Transport in Lifshitz Hydrodynamics

TL;DR

This paper derives first-order charged hydrodynamics relations for Lifshitz theories with broken parity, revealing new non-dissipative transport effects that could be experimentally observed in strange metals.

Contribution

It introduces novel non-dissipative transport phenomena in Lifshitz hydrodynamics with broken parity, extending relativistic results to non-relativistic regimes.

Findings

Identification of non-dissipative transport effects due to broken boost invariance.

Analysis of the non-relativistic limit of Lifshitz hydrodynamics.

Proposal that these effects can be measured in strange metals using electromagnetic field gradients.

Abstract

We derive the constitutive relations of first order charged hydrodynamics for theories with Lifshitz scaling and broken parity in $2+1$ and $3+1$ spacetime dimensions. In addition to the anomalous (in $3+1$) or Hall (in $2+1$) transport of relativistic hydrodynamics, there is an additional non-dissipative transport allowed by the absence of boost invariance. We analyze the non-relativistic limit and use a phenomenological model of a strange metal to argue that these effects can be measured in principle by using electromagnetic fields with non-zero gradients.