Disorder-induced exceptional and hybrid rings in Weyl/Dirac semimetals

Abstract

Non-Hermiticity in Weyl Hamiltonian leads to the realization of Weyl exceptional rings and flat bands inside the Weyl exceptional rings. Recently, the platform of non-Hermitian physics is extended to many-body or disordered systems where quasiparticles possess finite lifetime. Here, we clarify that the deviation from unitarity limit in a disordered Weyl semimetal leads to the generation of Weyl exceptional rings regardless of the detail of the scattering potential. In the case of topological Dirac semimetals, hybrid rings and flat bands without vorticity of complex-energy eigenvalues are realized. This scenario is applicable to any Weyl or Dirac semimetals. These effects are detectable by using photoemission or quasiparticle interference experiments.

arXiv comment9 pages, 8 firures

References in corpus (32)

• Experimental discovery of Weyl semimetal TaAs
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Localization transitions in non-Hermitian quantum mechanics
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• Topological Band Theory for Non-Hermitian Hamiltonians
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• Anomalous edge state in a non-Hermitian lattice
• Quantum trajectories and open many-body quantum systems
• Large intrinsic anomalous Hall effect in half-metallic ferromagnet Co3Sn2S2 with magnetic Weyl fermions
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Classification of Exceptional Points and Non-Hermitian Topological Semimetals
• Experimental realization of a Weyl exceptional ring
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
• Symmetry-protected nodal phases in non-Hermitian systems
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
• Topological superconductivity in Dirac semimetals
• Density of States Scaling at the Semimetal to Metal Transition in Three Dimensional Topological Insulators
• Parity-time-symmetric topological superconductor
• Nodal Arc in Disordered Dirac Fermions: Connection to Non-Hermitian Band Theory
• Dirty Weyl semimetals: Stability, phase transition and quantum criticality
• Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
• Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
• Phase diagrams of disordered Weyl semimetals
• Non-Hermitian topology of spontaneous magnon decay
• Exceptional points of the Lindblad operator of a two-level system
• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Single particle excitations in disordered Weyl fluids

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• Discriminant indicators with generalized inversion symmetry
• Spectrum collapse of disordered Dirac Landau levels as topological non-Hermitian physics
• Machine learning of mirror skin effects in the presence of disorder
• Implementation and topological characterization of Weyl exceptional rings in quantum-mechanical systems
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