Exceptional second-order topological insulators
arXiv:2411.06898 · doi:10.1103/6dhc-34vj
Abstract
Point-gap topological phases of non-Hermitian systems exhibit exotic boundary states that have no counterparts in Hermitian systems. Here, we develop classification of second-order point-gap topological phases protected by reflection symmetry. Based on this classification, we propose exceptional second-order topological insulators, exhibiting second-order boundary states stabilized by point-gap topology. As an illustrative example, we uncover a two-dimensional exceptional second-order topological insulator with point-gapless corner states. Furthermore, we identify a three-dimensional exceptional second-order topological insulator that features hinge states with isolated exceptional points, representing second-order topological phases intrinsic to non-Hermitian systems. Our work enlarges the family of point-gap topological phases in non-Hermitian systems.
30 pages, 13 figures
References in corpus (93)
- Topological Insulators
- Topological insulators and superconductors
- Edge states and topological invariants of non-Hermitian systems
- Quantized Electric Multipole Insulators
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- Higher-Order Topological Insulators
- Topological phases of non-Hermitian systems
- Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
- Symmetry and Topology in Non-Hermitian Physics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological Origin of Non-Hermitian Skin Effects
- Topological Band Theory for Non-Hermitian Hamiltonians
- Nonlinear waves in -symmetric systems
- Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
- Anomalous edge state in a non-Hermitian lattice
- Non-Bloch Band Theory of Non-Hermitian Systems
- -dimensional edge states of rotation symmetry protected topological states
- Reflection symmetric second-order topological insulators and superconductors
- Topological energy transfer in an optomechanical system with exceptional points
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Non-Hermitian Chern bands
- Observation of bulk boundary correspondence breakdown in topolectrical circuits
- Non-Hermitian Boundary Modes
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Anatomy of skin modes and topology in non-Hermitian systems
- Topological Boundary Modes in Isostatic Lattices
- Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Higher-order topological insulators and superconductors protected by inversion symmetry
- Non-reciprocal robotic metamaterials
- Hybrid higher-order skin-topological modes in non-reciprocal systems
- Non-Hermitian Topological Invariants in Real Space
- Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
- Universal non-Hermitian skin effect in two and higher dimensions
- Second-order topological insulators and superconductors with an order-two crystalline symmetry
- Reciprocal skin effect and its realization in a topolectrical circuit
- Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
- Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
- Higher-order non-Hermitian skin effect
- Acoustic non-Hermitian skin effect from twisted winding topology
- Quantitative mappings between symmetry and topology in solids
- Higher-order bulk-boundary correspondence for topological crystalline phases
- Surface State Magnetization and Chiral Edge States on Topological Insulators
- Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
- Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
- Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
- Second-order topological non-Hermitian skin effects
- Topological phases protected by point group symmetry
- Building crystalline topological phases from lower-dimensional states
- Rotation Anomaly and Topological Crystalline Insulators
- Nodal Arc in Disordered Dirac Fermions: Connection to Non-Hermitian Band Theory
- Topological insulators in magnetic fields: Quantum Hall effect and edge channels with non-quantized θ-term
- Non-Hermitian second-order skin and topological modes
- Mirror skin effect and its electric circuit simulation
- Guided accumulation of active particles by topological design of a second-order skin effect
- Connecting higher-order topological insulators to lower-dimensional topological insulators
- Exceptional Topological Insulators
- Topological Field Theory of Non-Hermitian Systems
- Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
- Unified understanding of symmetry indicators for all internal symmetry classes
- Non-Hermitian skin effect and self-acceleration
- Non-Bloch band theory in bosonic Bogoliubov-de Gennes systems
- Experimental identification of the second-order non-Hermitian skin effect with physics-graph-informed machine learning
- Fate of the non-Hermitian skin effect in many-body fermionic systems
- Dislocation Non-Hermitian Skin Effect
- Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
- Non-Hermitian physics without gain or loss: the skin effect of reflected waves
- Non-Hermitian band topology with generalized inversion symmetry
- Non-Hermitian waves in a continuous periodic model and application to photonic crystals
- Non-Hermitian skin effect of dislocations and its topological origin
- Inversion-symmetry protected chiral hinge states in stacks of doped quantum Hall layers
- Hermitian Bulk -- Non-Hermitian Boundary Correspondence
- Hourglass Fermion Surface States in Stacked Topological Insulators with Nonsymmorphic Symmetry
- Non-Hermitian skin effect in magnetic systems
- Coupled-layer description of topological crystalline insulators
- Bulk-boundary correspondence in point-gap topological phases
- Topology in non-Hermitian Chern insulators with skin effect
- Symmetry indicator in non-Hermitian systems
- Universal platform of point-gap topological phases from topological materials
- Topological enhancement of non-normality in non-Hermitian skin effects
- Dissipative analog of four-dimensional quantum Hall physics
- Theory of inversion- protected topological chiral hinge states and its applications to layered antiferromagnets
- Non-Hermitian Topology in Hermitian Topological Matter
- General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
- Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
- Higher-order Skin Effect through a Hermitian-non-Hermitian Correspondence and Its Observation in an Acoustic Kagome Lattice
- Floquet Exceptional Topological Insulator
- Non-Hermitian skin effect enforced by nonsymmorphic symmetries
- Anomalous second-order skin modes in Floquet non-Hermitian systems
- Non-Hermitian skin effect protected by glide symmetry
- Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system