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We calculate the magnetoconductivity of the Weyl semimetal with$\mathbb{Z}_2$ symmetry and chiral anomaly utilizing the recently developedhydrodynamic theory. The system in question will be influenced by magneticfields connected with ordinary Maxwell and the second $U(1)$-gauge field, whichis responsible for anomalous topological charge. The presence of chiral anomalyand $\mathbb{Z}_2$ anomalous charge endow the system with new transportcoefficients. We start with the linear perturbations of the hydrodynamicequations and calculate the magnetoconductivity of this system. The holographicapproach in the probe limit is implemented to obtain the explicit dependence ofthe longitudinal magnetoconductivities on the magnetic fields.

Magnetotransport of Weyl semimetals with $\mathbb{Z}_2$ topological charge and chiral anomaly