Density wave instabilities and surface state evolution in interacting Weyl semimetals

Abstract

We investigate the interplay of many-body and band structure effects of interacting Weyl semimetals (WSM). Attractive and repulsive Hubbard interactions are studied within a model for a time-reversal-breaking WSM with tetragonal symmetry, where we can approach the limit of weakly coupled planes and coupled chains by varying the hopping amplitudes. Using a slab geometry, we employ the variational cluster approach to describe the evolution of WSM Fermi arc surface states as a function of interaction strength. We find spin and charge density wave instabilities which can gap out Weyl nodes. We identify scenarios where the bulk Weyl nodes are gapped while the Fermi arcs still persist, hence realizing a quantum anomalous Hall state.

v3: as published

References in corpus (44)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Weyl Semimetal in a Topological Insulator Multilayer
• Experimental discovery of Weyl semimetal TaAs
• 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
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
• Quantum Cluster Theories
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Experimental observation of Weyl points
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Superconductivity in Weyl Semimetal Candidate MoTe2
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Recent developments in transport phenomena in Weyl semimetals
• Chiral anomaly and transport in Weyl metals
• Time-Reversal-Breaking Weyl Fermions in Magnetic Heusler Alloys
• Variational cluster approach to correlated electron systems in low dimensions
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Competition between Antiferromagnetism and Superconductivity in High $T_c$ Cuprates
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Topological semimetals with Riemann surface states
• Self-energy-functional approach: Analytical results and the Mott-Hubbard transition
• Disorder and metal-insulator transitions in Weyl semimetals
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
• The Hubbard model on the triangular lattice: Spiral order and spin liquid
• Correlation effects on 3D topological phases: from bulk to boundary
• Excitonic Phases from Weyl Semi-Metals
• Topological Weyl Semi-metal from a Lattice Model
• Weyl semimetals with short-range interactions
• Variational cluster approach to the Hubbard model: Phase-separation tendency and finite-size effects
• Rashba spin orbit coupling in the Kane-Mele-Hubbard model
• Correlated double-Weyl semimetals with Coulomb interactions: possible applications to HgCr2Se4 and SrSi2
• Interacting Weyl semimetals: characterization via the topological Hamiltonian and its breakdown
• Correlation effects in double-Weyl semimetals
• Weyl Mott Insulator
• Absence of spin liquid in non-frustrated correlated systems
• Signature of the chiral anomaly in a Dirac semimetal: a current plume steered by a magnetic field
• Topological density-wave states in a particle-hole symmetric Weyl metal
• Unidirectional Transport in Electronic and Photonic Weyl Materials by Dirac Mass Engineering
• Quantum disordered insulating phase in the frustrated cubic-lattice Hubbard model
• Importance of local correlations for the order parameter of high-Tc superconductors

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• Electronic correlations and flattened band in magnetic Weyl semimetal candidate Co3Sn2S2
• Anomalous Spin Correlations and Mass-Generating Excitonic Instability of Interacting Weyl Fermions
• Axionic Band Topology in Inversion-Symmetric Weyl-Charge-Density Waves
• Charge density waves in Weyl semimetals
• Chirality locking charge density waves in a chiral crystal
• Suppression of axionic charge density wave and onset of superconductivity in the chiral Weyl semimetal Ta${}_2$Se${}_8$I
• Charge density wave instabilities of type-II Weyl semimetals in a strong magnetic field
• Influence of interactions on the anomalous quantum Hall effect
• Correlation-driven charge order in a frustrated two-dimensional atom lattice
• Topological invariant in terms of the Green functions for the Quantum Hall Effect in the presence of varying magnetic field
• Breakdown of universality in three-dimensional Dirac semimetals with random impurities
• Phase diagrams of Weyl semimetals with competing intraorbital and interorbital disorders
• Non-Local Annihilation of Weyl Fermions in Correlated Systems
• Strongly Interacting Weyl Semimetals: Stability of the Semimetallic Phase and Emergence of Almost Free Fermions
• Three-band Hubbard model for Na${}_2$IrO${}_3$: Topological insulator, zigzag antiferromagnet, and Kitaev-Heisenberg material
• Excitonic instability of two-dimensional tilted Dirac cones
• Strong anisotropy of electron-phonon interaction in NbP probed by magnetoacoustic quantum oscillations
• Orbital magnetization and anomalous Hall effect in interacting Weyl semimetals
• Manifestation of topological behaviors in interacting Weyl systems: one-body verse two-body correlations
• Antiferromagnetic transitions of Dirac fermions in three dimensions
• Stability of the Weyl-semimetal phase on the pyrochlore lattice
• Finite-Momentum Instability of Dynamical Axion Insulator
• Fate of Fermi-arc States in Gapped Weyl Semimetals under Long-ranged Interactions
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Interaction-induced phase transitions of type-II Weyl semimetals
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Broken symmetry and competing orders in Weyl semimetal interfaces
• Spin density wave order in interacting type-I and type-II Weyl semimetals
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• Quantum Hall Effect in a Weyl-Hubbard Model: Interplay between Topology and Correlation
• Electron-hole pairing of Fermi-arc surface states in a Weyl-semimetal bilayer
• Spin susceptibilities in magnetic type-I and type-II Weyl semimetals
• Hall conductivity as the topological invariant in magnetic Brillouin zone in the presence of interactions
• Antiferromagnetism and spin density waves in 3D Dirac semimetals
• Magnetic-field-induced electronic instability of Weyl-like fermions in compressed black phosphorus
• Axionic quantum criticality of generalized Weyl semimetals
• Surface Functional Renormalization Group for Layered Quantum Materials