Weyl fermions with arbitrary monopole in magnetic fields: Landau levels, longitudinal magnetotransport, and density-wave ordering

Abstract

We theoretically address the effects of strong magnetic fields in three-dimensional Weyl semimetals (WSMs) built out of Weyl nodes with a monopole charge $n$. For $n=1$, $2$, and $3$ we realize single, double, and triple WSM, respectively, and the monopole charge $n$ determines the integer topological invariant of the WSM. Within the linearized continuum description, the quasiparticle spectrum is then composed of Landau levels (LLs), containing exactly $n$ number of chiral zeroth Landau levels (ZLLs), irrespective of the orientation of the magnetic field. In the presence of strong backscattering, for example, (due to quenched disorder associated with random impurities), these systems generically give rise to longitudinal magnetotransport. Restricting ourselves to the quantum limit (and assuming only the subspace of the ZLLs to be partially filled) and mainly accounting for Gaussian impurities, we show that the longitudinal magnetoconductivity (LMC) in all members of the Weyl family displays a positive linear-$B$ scaling, when the field is applied along the axis that separates the Weyl nodes. But, in double and triple WSM, LMC displays a smooth crossover to a nonlinear $B$-dependence as the field is tilted away from such a high-symmetry direction. In addition, due to the enhanced density of states, the LL quantization can trigger instabilities toward the formation of translational symmetry breaking density-wave orderings for sufficiently weak interaction (BCS instability), which gaps out the ZLLs. Concomitantly as the temperature (magnetic field) is gradually decreased (increased) the LMC becomes negative. Thus WSMs with arbitrary monopole charge ($n$) can host an intriguing interplay of LL quantization, longitudinal magnetotransport (a possible manifestation of one-dimensional chiral or axial anomaly), and density-wave ordering, when placed in a strong magnetic field.

19 pages, 12 figures

References in corpus (20)

• The Chiral Magnetic Effect
• Charged Impurity Scattering in Graphene
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Carrier transport in 2D graphene layers
• A self-consistent theory for graphene transport
• Measurement of Scattering Rate and Minimum Conductivity in Graphene
• Topological response in Weyl semimetals and the chiral anomaly
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Chiral anomaly and transport in Weyl metals
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• 3D Dirac semimetals: current materials, design principles and predictions of new materials
• Negative longitudinal magnetoresistance in Dirac and Weyl metals
• Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
• Effects of the Zero-Mode Landau Level on Inter-Layer Magnetoresistance in Multilayer Massless Dirac Fermion Systems
• Anisotropic and strong negative magneto-resistance in the three-dimensional topological insulator Bi2Se3
• Constructing a Weyl semimetal by stacking one dimensional topological phases
• Chiral Symmetry Breaking and the Quantum Hall Effect in Monolayer Graphene
• Spontaneous Layer-Pseudospin Domain Walls in Bilayer Graphene

Cited by in corpus (25)

• Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals
• Chiral anomaly induced nonlinear Hall effect in multi-Weyl semimetals
• Nonlinear magnetoconductivity in Weyl and multi-Weyl semimetal in quantizing magnetic field
• Understanding the three-dimensional quantum Hall effect in generic multi-Weyl semimetals
• Origin of Bardeen-Zumino current in lattice models of Weyl semimetals
• Longitudinal magnetoconductance and the planar Hall effect in a lattice model of tilted Weyl fermions
• Massless multifold Hopf semimetals
• RKKY interaction of magnetic impurities in multi-Weyl semimetals
• Theoretical investigations on Kerr and Faraday rotations in topological multi-Weyl Semimetals
• Distinct signatures of particle-hole symmetry breaking in transport coefficients for generic multi-Weyl semimetals
• Chiral anomalies in 3D spin-orbit coupled metals: electrical, thermal, and gravitational anomaly
• Time-reversal-broken Weyl semimetal in the Hofstadter regime
• Field-induced multiple metal-insulator crossovers of correlated Dirac electrons of perovskite CaIrO${}_3$
• Chiral magnetic waves in strongly coupled Weyl semimetals
• Pairwise annihilation of Weyl nodes induced by magnetic fields in the Hofstadter regime
• Quantum oscillations of the nonlinear planar effects signifying chiral anomaly in Weyl Semimetals
• Quantum Hall Effect in a Weyl-Hubbard Model: Interplay between Topology and Correlation
• Unveiling the Chiral States in Multi-Weyl Semimetals through Magneto-Optical Spectroscopy
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• Robust translational invariance in topological bands against lattice potentials and disorders
• Topological Optical Pseudospin Injection Beyond Weyl Semimetals
• Axionic quantum criticality of generalized Weyl semimetals
• Breakdown of chiral anomaly and emergent phases in Weyl semimetals under orbital magnetic fields
• Anomalous Chiral Anomaly in Spin-1 Fermionic Systems
• Intra-cone transition effect to magnetoconductivity in Dirac semimetal