Magnetoconductivity in chiral Lifshitz hydrodynamics

Abstract

In this paper, based on the principles of linear response theory, we compute the longitudinal DC conductivity associated with Lifshitz like fixed points in the presence of chiral anomalies in ($3+1$) dimensions. In our analysis, apart from having the usual anomalous contributions due to chiral anomaly, we observe an additional and pure \textit{parity odd} effect to the magnetoconductivity which has its origin in the broken Lorentz (boost) invariance at a Lifshitz fixed point. We also device a holographic set up in order to compute ($z=2$) Lifshitz contributions to the magnetoconductivity precisely at strong coupling and low charge density limit.

Minor clarifications added, Version To Appear In JHEP

References in corpus (10)

• Gravitational Anomaly and Transport
• Relativistic Hydrodynamics with General Anomalous Charges
• Holographic Anomalous Conductivities and the Chiral Magnetic Effect
• Fluid/gravity model for the chiral magnetic effect
• The eightfold way to dissipation
• Entropy Current from Partition Function: One Example
• Conductivity and Diffusion Constant in Lifshitz Backgrounds
• Horava-Lifshitz Black Hole Hydrodynamics
• Vacuum condition and the relation between response parameter and anomaly coefficient in (1+3) dimensions
• Constitutive relations and response parameters in two dimensional hydrodynamics with gauge and gravitational anomalies

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• Thermodynamics and gauge/gravity duality for Lifshitz black holes in the presence of exponential electrodynamics
• Magnetoresistance in relativistic hydrodynamics without anomalies
• Magneto-Transport in a Chiral Fluid from Kinetic Theory
• Magneto-transport in an anomalous fluid with weakly broken symmetries, in weak and strong regime
• Lifshitz and hyperscaling violated Yang-Mills-dilaton black holes
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• Broken Lifshitz invariance, spin waves and hydrodynamics