Z_2 and Chiral Anomalies in Topological Dirac Semimetals

Abstract

We demonstrate that topological Dirac semimetals, which possess two Dirac nodes, separated in momentum space along a rotation axis and protected by rotational symmetry, exhibit an additional quantum anomaly, distinct from the chiral anomaly. This anomaly, which we call the ${\mathbb{Z}}_2$ anomaly, is a consequence of the fact that the Dirac nodes in topological Dirac semimetals carry a ${\mathbb{Z}}_2$ topological charge. The ${\mathbb{Z}}_2$ anomaly refers to nonconservation of this charge in the presence of external fields due to quantum effects and has observable consequences due to its interplay with the chiral anomaly. We discuss possible implications of this for the interpretation of magnetotransport experiments on topological Dirac semimetals. We also provide a possible explanation for the magnetic field dependent angular narrowing of the negative longitudinal magnetoresistance, observed in a recent experiment on Na${}_3$Bi.

5 pages, 2 figures, published version

References in corpus (9)

• The Chiral Magnetic Effect
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topological response in Weyl semimetals and the chiral anomaly
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Negative longitudinal magnetoresistance in Dirac and Weyl metals
• Observation of the Adler-Bell-Jackiw chiral anomaly in a Weyl semimetal
• Dirac semimetals $A_{3}Bi$ ($A$=Na,K,Rb) as $Z_2$ Weyl semimetals

Cited by in corpus (54)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Semimetals
• Quantized circular photogalvanic effect in Weyl semimetals
• Weyl Metals
• Anomalous Hall Effect in ZrTe5
• Giant Planar Hall Effect in Topological Metals
• Observation of the quantum Hall effect in confined films of the three-dimensional Dirac semimetal Cd3As2
• A Family Group of Two-dimensional Node-Line Semimetals
• Gate-tuned quantum Hall states in Dirac semimetal (Cd1-xZnx)3As2
• Quantized surface transport in topological Dirac semimetal films
• Strain-engineering the topological type-II Dirac semimetal NiTe${}_2$
• Photoninduced Weyl half-metal phase and spin filter effect from topological Dirac semimetals
• Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions
• Quantum-oscillation-modulated angular dependences of the positive longitudinal magnetoconductivity and planar Hall effect in Weyl semimetals
• Topology of Triple-Point Metals
• Strain-induced nonlinear spin Hall effect in topological Dirac semimetal
• Quantum Transport in Weyl Semimetal Thin Films in the Presence of Spin-Orbit Coupled Impurities
• Dimensional crossover of effective orbital dynamics in polar distorted 3He-A: Transitions to anti-spacetime
• A Weyl-${\mathrm{Z}}_2$ semimetal from holography
• Strongly angle-dependent magnetoresistance in Weyl semimetals with long-range disorder
• Spin Hall conductivity in topological Dirac semimetals
• Topological piezoelectric effect and parity anomaly in nodal line semimetals
• Spin-orbit crossed susceptibility in topological Dirac semimetals
• Kondo effect driven by chirality imbalance
• Chiral pair of Fermi arcs, anomaly cancelation, and spin or valley Hall effects in inversion symmetry-broken Weyl metals
• Topological Electromagnetic Effects and Higher Second Chern Numbers in Four-Dimensional Gapped Phases
• Anomalous DC Hall response in noncentrosymmetric tilted Weyl semimetals
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• Temperature Dependent n-p Transition of 3 Dimensional Dirac Semimetal Na${}_3$Bi Thin Film
• Semi-Quantized Spin Pumping and Spin-Orbit Torques in Topological Dirac Semimetals
• Surface states in Dirac metals and topological crystalline insulators
• Non-Abelian properties of electron wave packets in Dirac semimetals A${}_3$Bi (A=Na,K,Rb)
• Hydrodynamics of topological Dirac semi-metals with chiral and ${\mathbb{Z}}_2$ anomalies
• Anisotropic positive linear and sub-linear magnetoresistivity in the cubic type-II Dirac metal Pd${}_3$In${}_7$
• Mirror anomaly and anomalous Hall effect in type-I Dirac semimetals
• Positive longitudinal spin magnetoconductivity in ${\mathbb{Z}}_2$ topological Dirac semimetals
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• Probing mirror anomaly and classes of Dirac semimetals with circular dichroism
• Anomalous Hall conductivity of the holographic ${\mathbb{Z}}_2$ Dirac semimetals
• Long-range spin transport on the surface of topological Dirac semimetal
• Emergence of Topological Superconductivity in Doped Topological Dirac Semimetals under Symmetry-Lowering Lattice Distortions
• Topological magnetoelectric pump in three dimensions
• Topological phase transitions of semimetal states in effective field theory models
• Ferromagnetic-electrodes-induced Hall effect in topological Dirac semimetals
• Coexistence of topological semimetal states in holography
• Weyl points and anomalous transport effects tuned by the Fe doping in Mn${}_3$Ge Weyl semimetal
• Electronic interactions in a vacancy-engineered honeycomb lattice: Transition from a nodal-line semimetal to a magnetic insulator
• Cubic Dirac Semimetals: General Theory and Application to Rare-Earth Magnets
• Nodal lines and boundary modes in topological Dirac semimetals with magnetism
• Topological invariant for holographic Weyl-${\mathrm{Z}}_2$ semimetal
• Intrinsic spin Nernst effect in topological Dirac and magnetic Weyl semimetals
• The orbital-driven topological phase transition and planar Hall responses in ternary tellurides Weyl semi-metals
• Tunable spin-charge conversion in class-I topological Dirac semimetals
• Transport of Dirac magnons driven by gauge fields