Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals

Abstract

We analyze a diamond-lattice Hubbard model with the spatially modulated Hubbard interaction. Our dynamical mean-field analysis with special emphasis on non-Hermitian properties elucidates that the gapless nodal line changes into symmetry-protected exceptional torus (SPET) at the Fermi level enclosing the three-dimensional open Fermi surface, which is unique to non-Hermitian physics with chiral symmetry. Furthermore, we also elucidate the effects of the SPETs on the magnetic response; our results based on the random-phase approximation combined with the the dynamical mean-field theory shows that SPETs enhance the magnetic susceptibility at the weakly correlated sites, exemplifying effects of non-Hermitian degeneracies on responses to external fields.

11 pages, 11 figures

References in corpus (81)

• Topological Insulators
• Topological insulators and superconductors
• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Edge states and topological invariants of non-Hermitian systems
• Localization transitions in non-Hermitian quantum mechanics
• Topological phases of non-Hermitian systems
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Band Theory for Non-Hermitian Hamiltonians
• Anomalous edge state in a non-Hermitian lattice
• Mott physics and band topology in materials with strong spin-orbit interaction
• Non-Hermitian Chern bands
• Topological phases of fermions in one dimension
• Spawning rings of exceptional points out of Dirac cones
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• The effects of interactions on the topological classification of free fermion systems
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Edge states and topological phases in non-Hermitian systems
• Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Classification of Exceptional Points and Non-Hermitian Topological Semimetals
• Single particle Green's functions and interacting topological insulators
• Experimental realization of a Weyl exceptional ring
• Dynamically encircling exceptional points: Exact evolution and polarization state conversion
• Parity-time-symmetric quantum critical phenomena
• Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear $\sigma$ models and a special group supercohomology theory
• Topological Kondo Insulators
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Majorana bound states from exceptional points in non-topological superconductors
• Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
• Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
• Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence
• Classification of interacting electronic topological insulators in three dimensions
• A New Iterative Perturbation Scheme for Lattice Models with Arbitrary Filling
• A theory of Topological Kondo Insulators
• Symmetry-protected nodal phases in non-Hermitian systems
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Interacting topological phases and modular invariance
• Nanometer-scale spatial modulation of an inter-atomic interaction in a Bose-Einstein condensate
• Classification and analysis of two dimensional abelian fractional topological insulators
• Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• Parity-time-symmetric topological superconductor
• Exceptional Links and Twisted Fermi Ribbons in non-Hermitian Systems
• Interaction effect on topological classification of superconductors in two dimensions
• Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
• Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
• Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges
• Knotted Non-Hermitian Metals
• Topological invariants and interacting one-dimensional fermionic systems
• Nodal Arc in Disordered Dirac Fermions: Connection to Non-Hermitian Band Theory
• Quantum dynamics with spatiotemporal control of interactions in a stable Bose-Einstein condensate
• A new class of $(2+1)$-d topological superconductor with ${\mathbb{Z}}_8$ topological classification
• Exceptional rings protected by emergent symmetry for mechanical systems
• Symmetry Protected Topological States of Interacting Fermions and Bosons
• Quantum critical behavior influenced by measurement backaction in ultracold gases
• Non-Hermitian Weyl Physics in Topological Insulator Ferromagnet Junctions
• Theory of interacting topological crystalline insulators
• Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions
• Characterization of a topological Mott insulator in one dimension
• Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
• Breakdown of the Mott insulator: Exact solution of an asymmetric Hubbard model
• Surface and 3D quantum Hall effects from engineering of exceptional points in nodal-line semimetals
• Time-Reversal Symmetry in Non-Hermitian Systems
• Correlation effects on a topological insulator at finite temperatures
• A study on correlation effects in two dimensional topological insulators
• Mott Physics on Helical Edges of 2D Topological Insulators
• Topological protection from exceptional points in Weyl and nodal line semimetals
• Zeno Hall Effect
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• CPT theorem and classification of topological insulators and superconductors
• Correlation effects on topological crystalline insulators
• Fate of Majorana modes in ${\mathrm{CeCoIn}}_5$/${\mathrm{YbCoIn}}_5$ superlattices -a test bed for reduction of topological classification-
• Topological edge Mott insulating state in two dimensions at finite temperatures -bulk and edge analysis-
• Reduction of topological $\mathbb{Z}$ classification in cold atomic systems
• Visualizing a Bosonic Symmetry Protected Topological Phase in an Interacting Fermion Model

Cited by in corpus (50)

• Exceptional Topology of Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Non-Hermitian topological phenomena: A review
• Higher-order non-Hermitian skin effect
• Second-order topological non-Hermitian skin effects
• Symmetry-protected multifold exceptional points and their topological characterization
• Mirror skin effect and its electric circuit simulation
• Non-Hermitian fractional quantum Hall states
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Equivalence of the effective non-hermitian Hamiltonians in the context of open quantum systems and strongly-correlated electron systems
• Hunting for the non-Hermitian exceptional points with fidelity susceptibility
• Topological semimetal phase with exceptional points in one-dimensional non-Hermitian systems
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Non-Hermitian band topology with generalized inversion symmetry
• Nielsen-Ninomiya Theorem with Bulk Topology: Duality in Floquet and Non-Hermitian Systems
• Exceptional band touching for strongly correlated systems in equilibrium
• Classification of Exceptional Nodal Topologies Protected by $\mathcal{P}\mathcal{T}$ Symmetry
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Bulk-boundary correspondence in point-gap topological phases
• Connections between the Open-boundary Spectrum and Generalized Brillouin Zone in Non-Hermitian Systems
• Exceptional points make an astroid in non-Hermitian Lieb lattice: evolution and topological protection
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• Real spectra in non-Hermitian topological insulators
• Exceptional points in the one-dimensional Hubbard model
• Symmetry-protected exceptional and nodal points in non-Hermitian systems
• Floquet engineering and simulating exceptional rings with a quantum spin system
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Non-Hermitian topology in rock-paper-scissors games
• Disorder-induced exceptional and hybrid rings in Weyl/Dirac semimetals
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Symmetry protected exceptional points of interacting fermions
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
• Surface exceptional points in a topological Kondo insulator
• Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
• Braids and Higher-order Exceptional Points from the Interplay Between Lossy Defects and Topological Boundary States
• Anomalous Hall effect from a non-Hermitian viewpoint
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Topological Classificaton of Non-Hermitian Gapless Phases: Exceptional Points and Bulk Fermi Arcs
• Exceptional Heavy-Fermion Semimetals in Three Dimensions
• Machine learning of mirror skin effects in the presence of disorder
• Spectrum collapse of disordered Dirac Landau levels as topological non-Hermitian physics
• Nodal phases in non-Hermitian wallpaper crystals
• Winding Topology of Multifold Exceptional Points
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems