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

Abstract

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

35 pages, 4 figures, LaTex, the title was changed, the version meets the printed one,

References in corpus (13)

• The Chiral Magnetic Effect
• Dirac materials
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Holographic Superconductors with Various Condensates
• Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• Two interacting current model of holographic Dirac fluid in graphene
• Magnetoresistance in relativistic hydrodynamics without anomalies
• Holographic calcualtion of the magneto-transport coefficients in Dirac semimetals
• Hydrodynamics of topological Dirac semi-metals with chiral and ${\mathbb{Z}}_2$ anomalies

Cited by in corpus (5)

• Relaxation terms for anomalous hydrodynamic transport in Weyl semimetals from kinetic theory
• Magneto-Transport in a Chiral Fluid from Kinetic Theory
• Magneto-transport in an anomalous fluid with weakly broken symmetries, in weak and strong regime
• Anomalous Hall conductivity of the holographic ${\mathbb{Z}}_2$ Dirac semimetals
• Transport properties of a holographic model with novel gauge-axion coupling