Spin density wave order in interacting type-I and type-II Weyl semimetals
arXiv:2009.10208 · doi:10.1103/PhysRevB.103.085136
Abstract
Weyl semimetals, featuring massless linearly dispersing chiral fermions in three dimensions, provide an excellent platform for studying the interplay of electronic interactions and topology, and exploring new correlated states of matter. Here, we examine the effect of a local repulsive interaction on an inversion-symmetry breaking Weyl semimetal model, using cluster dynamical mean field theory and variational cluster approximation methods. Our analysis reveals a continuous transition from the gapless Weyl semimetal phase to a gapped spin density wave ordered phase at a critical value of the interaction, which is determined by the band structure parameters. Further, we introduce a finite tilt in the linear dispersion and examine the corresponding behavior for a type-II Weyl semimetal model, where the critical interaction strength is found to be significantly diminished, indicating a greater susceptibility towards interactions. The behavior of different physical quantities, such as the double occupancy, the spectral function and the Berry curvature associated with the Weyl nodes are obtained in both the semimetallic and the magnetically ordered states. Finally, we provide an interaction-induced phase diagram for the Weyl semimetal model, as a function of the tilt parameter.
arXiv comment10 pages, 10 figures, submitted version
References in corpus (71)
- Topological Insulators
- Topological insulators and superconductors
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Type-II Weyl Semimetals
- Topological Materials: Weyl Semimetals
- Topological Insulator Materials
- Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
- Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
- Correlated quantum phenomena in the strong spin-orbit regime
- Discovery of a Weyl Fermion semimetal state in NbAs
- Topological response in Weyl semimetals and the chiral anomaly
- Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
- Superconductivity in Weyl Semimetal Candidate MoTe2
- Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
- Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
- Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
- Three-Dimensional Topological Insulators
- Large intrinsic anomalous Hall effect in half-metallic ferromagnet Co3Sn2S2 with magnetic Weyl fermions
- Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
- Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals
- Observation of the Type-II Weyl Semimetal Phase in MoTe2
- Experimental discovery of a topological Weyl semimetal state in TaP
- Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
- Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
- Variational cluster approach to correlated electron systems in low dimensions
- Observation of Fermi Arcs in Type-II Weyl Semimetal Candidate WTe2
- Observation of Weyl nodes and Fermi arcs in TaP
- Cluster Dynamical Mean Field Theory of the Mott Transition
- Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
- Criteria for directly detecting topological Fermi arcs in Weyl semimetals
- Cluster Dynamical Mean Field analysis of the Mott transition
- Field-Selective Anomaly and Chiral Mode Reversal in Type-II Weyl Materials
- Topological Magnetic Phase in the Candidate Weyl Semimetal CeAlGe
- Variational cluster approach to spontaneous symmetry breaking: The itinerant antiferromagnet in two dimensions
- Recent progress on correlated electron systems with strong spin-orbit coupling
- Intrinsic Anomalous Hall Effect in Type-II Weyl Semimetals
- Superconductivity in Weyl metals
- Interacting Weyl fermions: Phases, phase transitions and global phase diagram
- Excitonic Phases from Weyl Semi-Metals
- Chiral anomaly and longitudinal magnetotransport in type-II Weyl semimetals
- Weyl semimetals with short-range interactions
- Odd parity superconductivity in Weyl semimetals
- A note on cluster methods for strongly correlated electron systems
- Observation of Fermi Arcs in non-Centrosymmetric Weyl Semi-metal Candidate NbP
- Interacting Weyl semimetals: characterization via the topological Hamiltonian and its breakdown
- Superconductivity in Type-II Weyl Semimetals
- Superconductivity Induced by High Pressure in Weyl Semimetal TaP
- Density wave instabilities and surface state evolution in interacting Weyl semimetals
- Superconductivity in doped inversion-symmetric Weyl semimetals
- Interplay of topology and electron-electron interactions in Rarita-Schwinger-Weyl semimetals
- Nonlocal correlations induced by Hund's coupling: a cluster DMFT study
- Weyl Semimetal in the Strong Coulomb Interaction Limit
- Long-range interaction induced phases in Weyl semimetals
- Topological density-wave states in a particle-hole symmetric Weyl metal
- Unpaired Weyl nodes from Long-Ranged Interactions: Fate of Quantum Anomalies
- Strongly Interacting Weyl Semimetals: Stability of the Semimetallic Phase and Emergence of Almost Free Fermions
- Non-Local Annihilation of Weyl Fermions in Correlated Systems
- Manifestation of topological behaviors in interacting Weyl systems: one-body verse two-body correlations
- Magnetic phases and unusual topological electronic structures of Weyl semimetals in strong interaction limit
- Instability and topological robustness of Weyl semimetals against Coulomb interaction
- Stability of the Weyl-semimetal phase on the pyrochlore lattice
- -pairing in correlated fermion models with spin-orbit coupling
- Symmetry Enforced Stability of Interacting Weyl and Dirac Semimetals
- Interaction-induced phase transitions of type-II Weyl semimetals
- On the nature of the magnetic phase transition in a Weyl semimetal
- Excitonic collective modes in Weyl semi-metals
- Quasiparticle Properties under Interactions in Weyl and Nodal Line Semimetals
- Functional renormalization group approach to interacting three-dimensional Weyl semimetals
- Antiferromagnetism and spin density waves in 3D Dirac semimetals
- Possible particle-hole instabilities in interacting type-II Weyl semimetals
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- Reentrant topological phases and spin density wave induced by 1D moiré potentials
- The Weyl-Mott point: topological and non-Fermi liquid behavior from an isolated Green's function zero
- Observation of Dirac Charge Density Waves in BiTeSe
- Spin susceptibilities in magnetic type-I and type-II Weyl semimetals