Magnetic catalysis and axionic charge-density-wave in Weyl semimetals

Abstract

Three-dimensional Weyl and Dirac semimetals can support a chiral-symmetry-breaking, fully gapped, charge-density-wave order even for sufficiently weak repulsive electron-electron interactions, when placed in strong magnetic fields. In the former systems, due to the natural momentum space separation of Weyl nodes the ordered phase lacks the translational symmetry and represents an axionic phase of matter, while that in a Dirac semimetal (neglecting the Zeeman coupling) is only a trivial insulator. We present the scaling of this spectral gap for a wide range of subcritical (weak) interactions as well as that of the diamagnetic susceptibility with the magnetic field. A similar mechanism for charge-density-wave ordering at weak coupling is shown to be operative in double and triple-Weyl semimetals, where the dispersion is linear (quadratic and cubic, respectively) for the z (planar) component(s) of the momentum. We here also address the competition between the charge-density-wave and a spin-density-wave orders, both of which breaks the chiral symmetry and leads to gapped spectrum, and show that at least in the weak coupling regime the former is energetically favored. The anomalous surface Hall conductivity, role of topological defects such as axion strings, existence of one-dimensional gapless dispersive modes along the core of such defects, and anomaly cancellation through the Callan-Harvey mechanism are discussed.

9 Pages, 3 Figues: Published version, expanded discussion, new references

References in corpus (50)

• Topological Insulators
• Topological insulators and superconductors
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Weyl Semimetal in a Topological Insulator Multilayer
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Experimental discovery of Weyl semimetal TaAs
• Topological nodal semimetals
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Landau Quantization and Quasiparticle Interference in the Three-Dimensional Dirac Semimetal Cd3As2
• Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
• Topological Phase Transition and Texture Inversion in a Tunable Topological Insulator
• Weyl semimetal with broken time reversal and inversion symmetries
• Axionic field theory of (3+1)-dimensional Weyl semi-metals
• Self-Organized Topological State with Majorana Fermions
• Chiral gauge field and axial anomaly in a Weyl semi-metal
• Theory of interacting electrons on the honeycomb lattice
• Dimensional Reduction and Dynamical Chiral Symmetry Breaking by a Magnetic Field in $3+1$ Dimensions
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Adler-Bell-Jackiw anomaly in Weyl semi-metals: Application to Pyrochlore Iridates
• A sudden collapse in the transport lifetime across the topological phase transition in $(B{i}_{1-x}I{n}_x{)}_{2}S{e}_3$
• Unexpected mass acquisition of Dirac fermions at the quantum phase transition of a topological insulator
• Quantum criticality between topological and band insulators in $(3+1)$-dimensions
• Topological-Metal to Band-Insulator Transition in (Bi1-xInx)2Se3 Thin Films
• Signatures of a Pressure-Induced Topological Quantum Phase Transition in BiTeI
• Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED
• Excitonic Phases from Weyl Semi-Metals
• Weyl and Dirac semimetals with Z_2 topological charge
• Weyl semimetals with short-range interactions
• Metals in high magnetic field: a new universality class of Fermi liquids
• Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids
• Dynamical Chiral Symmetry Breaking in QED in a Magnetic Field: Toward Exact Results
• Engineering Weyl nodes in Dirac semimetals by a magnetic field
• Chiral Symmetry Breaking and the Quantum Hall Effect in Monolayer Graphene
• Surface Theory of a Family of Topological Kondo Insulators
• Axionic superconductivity in three dimensional doped narrow gap semiconductors
• Migdal's theorem and electron-phonon vertex corrections in Dirac materials
• Quantum critical scaling in magnetic field near the Dirac point in graphene
• Zero modes and charged Skyrmions in graphene bilayer
• Chiral symmetry breaking in d=3 NJL model in external gravitational and magnetic fields
• Theory of integer quantum Hall effect in insulating bilayer graphene
• Magnetic field induced inequivalent vortex zero modes in strained graphene
• $Z_2$ index for gapless fermionic modes in the vortex core of three dimensional paired Dirac fermions
• Zero modes of the generalized fermion-vortex system in magnetic field

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• Weyl and Dirac Semimetals in Three Dimensional Solids
• Evidence for an axionic charge density wave in the Weyl semimetal (TaSe4)2I
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Analogy between rotation and density for Dirac fermions in a magnetic field
• Interacting Weyl fermions: Phases, phase transitions and global phase diagram
• Topological superconductivity of spin-3/2 carriers in a three-dimensional doped Luttinger semimetal
• Universal optical conductivity of a disordered Weyl semimetal
• Anomalous Spin Correlations and Mass-Generating Excitonic Instability of Interacting Weyl Fermions
• Weyl fermions with arbitrary monopole in magnetic fields: Landau levels, longitudinal magnetotransport, and density-wave ordering
• Band Engineering of Dirac Semimetals using Charge Density Waves
• Global Phase Diagram of a Dirty Weyl Liquid and Emergent Superuniversality
• Response Properties of Axion Insulators and Weyl Semimetals Driven by Screw Dislocations and Dynamical Axion Strings
• Quantum phases of interacting electrons in three-dimensional dirty Dirac semimetals
• Non-Abelian anomalies in multi-Weyl semimetals
• Quantum Multicriticality near the Dirac-Semimetal to Band-Insulator Critical Point in Two Dimensions: A Controlled Ascent from One Dimension
• Magnetotransport in multi-Weyl semimetals: A kinetic theory approach
• Photoinduced topological phase transition from a crossing-line nodal semimetal to a multiple-Weyl semimetal
• Magnetic susceptibility of topological nodal semimetals
• Chiral anomaly enhancement and photo-irradiation effects in multi-band touching fermion systems
• Signature of chiral fermion instability in the Weyl semimetal TaAs above the quantum limit
• Signatures of Weyl semimetals in quasiparticle interference
• Charge density waves in Weyl semimetals
• Magneto-optical conductivity of double Weyl semimetals
• Chirality locking charge density waves in a chiral crystal
• Topological density-wave states in a particle-hole symmetric Weyl metal
• Unidirectional Transport in Electronic and Photonic Weyl Materials by Dirac Mass Engineering
• Axial anomaly in multi-Weyl and triple-point semimetals
• Negative longitudinal magnetoresistance in the density wave phase of Y${}_2$Ir${}_2$O${}_7$
• Exotic Landau Diamagnetism and Weyl-Fermions Excitations in TaAs Revealed by ${}^{75}$As NMR and NQR
• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Collective effects in tilted Weyl cones: optical conductivity, polarization, and Coulomb interactions reshaping the cone
• Charge density wave instabilities of type-II Weyl semimetals in a strong magnetic field
• Breakdown of Fermi liquid theory in topological multi-Weyl semimetals
• Topological nematic phase in Dirac semi-metals
• Surface Charge Induced Dirac Band Splitting in a Charge Density Wave Material (TaSe4)2I
• Chirality manipulation of ultrafast phase switchings in a correlated CDW-Weyl semimetal
• Optical conductivity of an interacting Weyl liquid in the collisionless regime
• Dynamical Piezomagnetic Effect in Time-Reversal Invariant Weyl Semimetals with Axionic Charge-Density Waves
• Magnetic susceptibility of topological semimetals
• Gap-opening transition in Dirac semimetal ZrTe${}_5$
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Excitonic instability of two-dimensional tilted Dirac cones
• Tomonaga-Luttinger liquid and localization in Weyl semimetals
• Magnetization of topological line-node semimetals
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Antiferromagnetic transitions of Dirac fermions in three dimensions
• Instability and topological robustness of Weyl semimetals against Coulomb interaction
• Instability of Dirac semimetal phase under strong magnetic field
• Shear viscosity as a probe of nodal topology
• Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals
• Absence of in-gap modes in charge density wave edge dislocations of the Weyl semimetal (TaSe${}_4$)${}_2$I
• Finite-Momentum Instability of Dynamical Axion Insulator
• Field-induced multiple metal-insulator crossovers of correlated Dirac electrons of perovskite CaIrO${}_3$
• Resonant Plasmon-Axion Excitations Induced by Charge Density Wave Order in Weyl Semimetal
• Magnetic-field-induced nonlinear transport in HfTe5
• Pseudo-gauge Fields in Dirac and Weyl Materials
• Magnetic catalysis in weakly interacting hyperbolic Dirac materials
• Monopole versus spherical harmonic superconductors: Topological repulsion, coexistence and stability
• Excitonic collective modes in Weyl semi-metals
• Merging of momentum-space monopoles by controlling magnetic field: From cubic-Dirac to triple-Weyl fermion systems
• Rashba-splitting-induced topological flat band detected by anomalous resistance oscillations beyond the quantum limit in ZrTe${}_5$
• Towards diluted magnetism in TaAs
• Dirac Kondo effect under magnetic catalysis
• Multiphoton Spectroscopy of a Dynamical Axion Insulator
• Spontaneous symmetry breaking and quantum Hall valley ordering on the surface of topological hexaborides
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• Gapless Topological Peierls-like instabilities in more than one dimension
• Magnetic-field-induced electronic instability of Weyl-like fermions in compressed black phosphorus
• Holography of dislocations and ring defects in Einstein-Gauss-Bonnet AdS gravity
• Multiple charge-density-wave gaps in LaSbTe and CeSbTe as revealed by ultrafast spectroscopy
• Axionic Acoustic Phonons from Weyl Semimetals
• Axionic Instability of Periodic Weyl-Semimetal Superstructures
• Axionic quantum criticality of generalized Weyl semimetals
• No Net Charge Separation in Hot QCD in a Magnetic Field
• Two body interactions induces the axion-phason field in Weyl semimetals