Non-Hermitian topological phases and skin effects in kagome lattices

Abstract

Non-Hermitian physics has added new ingredients to topological physics, leading to the rising frontier of non-Hermitian topological phases. In this study, we investigate Chern insulator phases emerging from non-Hermitian kagome models with non-reciprocal and pure imaginary next-nearest neighbor hoppings. In the presence or absence of $C_3$ rotation symmetry, hybrid topological-skin effects are explored through the identification of distinct corner skin modes in different energy regions within two band gaps. By employing the dynamical analysis, the underlying physics is revealed from the non-Hermitian skin effects associated with the chiral edge states, leading to diverse non-Hermitian bulk-boundary responses. The simplicity of these kagome models and their rich emergent topological phenomena suggest that they are appealing candidates for studying non-Hermitian topological phases. We further discuss the possible realizations of these models in non-Hermitian metamaterials.

References in corpus (58)

• Anyons in an exactly solved model and beyond
• Topological Photonics
• Topological Photonics
• Edge states and topological invariants of non-Hermitian systems
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Non-Bloch Band Theory of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Chern bands
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• Acoustic higher-order topological insulator on a Kagome lattice
• Non-Hermitian Boundary Modes
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Anatomy of skin modes and topology in non-Hermitian systems
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Nonlinear topological photonics
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Hybrid higher-order skin-topological modes in non-reciprocal systems
• Non-Hermitian Topological Invariants in Real Space
• Critical non-Hermitian Skin Effect
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• Higher-order non-Hermitian skin effect
• Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
• Acoustic non-Hermitian skin effect from twisted winding topology
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Active topological photonics
• Non-Hermitian Morphing of Topological Modes
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Non-Hermitian systems and topology: A transfer-matrix perspective
• Phase-dependent chiral transport and effective non-Hermitian dynamics in a bosonic Kitaev-Majorana chain
• Second-order topological non-Hermitian skin effects
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Non-Hermitian band topology and skin modes in active elastic media
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Non-Bloch band collapse and chiral Zener tunneling
• Photonic Floquet topological insulators in a fractal lattice
• Hall Conductance of a Non-Hermitian Chern Insulator
• Generalized bulk-edge correspondence for non-hermitian topological systems
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Non-Hermitian second-order skin and topological modes
• Hybrid skin-topological modes without asymmetric couplings
• Delocalization of topological edge states
• Dual topological characterization of non-Hermitian Floquet phases
• Quasicrystalline Chern Insulators
• Photonic corner skin modes
• Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
• Disorder-driven Phase Transitions of Second-order Non-Hermitian Skin Effects
• Driven-dissipative time crystalline phases in a two-mode bosonic system with Kerr nonlinearity
• Topological transitions in the configuration space of non-Euclidean origami
• Hermitian Nonlinear Wave Mixing Controlled by a PT-Symmetric Phase Transition
• A General Method to Design Acoustic Higher-Order Topological Insulators
• Nonlinear topological phase diagram in dimerized sine-Gordon model

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• Hybrid skin-topological effect induced by eight-site cells and arbitrary adjustment of the localization of topological edge states
• Higher-order Skin Effect through a Hermitian-non-Hermitian Correspondence and Its Observation in an Acoustic Kagome Lattice
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