Hydrodynamics of topological Dirac semi-metals with chiral and ${\mathbb{Z}}_2$ anomalies

Abstract

We consider the hydrodynamical model of topological Dirac semi-metal possessing two Dirac nodes separated in momentum space along a rotation axis. It has been argued that the system in question, except the chiral anomaly, is endowed with the other one ${\mathbb{Z}}_2$. In order to model such a system we introduce two $U(1)$-gauge fields. The presence of the additional ${\mathbb{Z}}_2$ anomaly leads to the non-trivial modifications of hydrodynamical equations and to the appearance of new kinetic coefficients bounded with the vorticity and the magnetic parts of Maxwell and auxiliary $U(1)$-gauge fields.

17 pages, RevTex, meets the printed version

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Cited by in corpus (6)

• Photoninduced Weyl half-metal phase and spin filter effect from topological Dirac semimetals
• Magneto-Transport in a Chiral Fluid from Kinetic Theory
• Magneto-transport in an anomalous fluid with weakly broken symmetries, in weak and strong regime
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• Anomalous Hall conductivity of the holographic ${\mathbb{Z}}_2$ Dirac semimetals
• DC conductivities and Stokes flows in Dirac semimetals