General corner states in 2D SSH model with intracelluar next-nearest-neighbour hopping

Abstract

We investigate corner states in a photonic two-dimensional (2D) Su-Schrieffer-Heeger (SSH) model on a square lattice with zero gauge flux. By considering intracelluar next-nearest-neighbor (NNN) hoppings, we discover a broad class of corner states in the 2D SSH model, and show that they are robust against certain fabrication disorders. Moreover, these corner states are located around the corners, but not at the corner points, so we refer to them as general corner states. We analytically identify that the general corner states are induced by the intracelluar NNN hoppings (long-range interactions) and split off from the edge-state bands. Our work show a simple way to induce unique corner states by the long-range interactions, and offers opportunities for designing novel photonic devices.

arXiv comment7 pages, 5 figures

References in corpus (62)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Topological Photonics
• Edge states and topological invariants of non-Hermitian systems
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Topological phases of non-Hermitian systems
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Microwave photonics with superconducting quantum circuits
• Topological Band Theory for Non-Hermitian Hamiltonians
• Anomalous edge state in a non-Hermitian lattice
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Topolectrical circuit realization of topological corner modes
• Reflection symmetric second-order topological insulators and superconductors
• Observation of a phononic quadrupole topological insulator
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Acoustic higher-order topological insulator on a Kagome lattice
• Non-Hermitian Boundary Modes
• Spawning rings of exceptional points out of Dirac cones
• Higher-Order Topology in Bismuth
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• Anatomy of skin modes and topology in non-Hermitian systems
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Visualization of higher-order topological insulating phases in two-dimensional dielectric photonic crystals
• Direct observation of corner states in second-order topological photonic crystal slabs
• Topological protection of photonic mid-gap cavity modes
• Photonic quadrupole topological phases
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Synthetic Dimension in Photonics
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Hybrid higher-order skin-topological modes in non-reciprocal systems
• Second-Order Topological Phases in Non-Hermitian Systems
• Observation of second-order topological insulators in sonic crystals
• Corner states of light in photonic waveguides
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• Time-reversal symmetry breaking in circuit-QED based photon lattices
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Topological quantum matter in synthetic dimensions
• Photonic Topological Insulator in Synthetic Dimensions
• Elastic higher-order topological insulator with topologically protected corner states
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
• Photonic crystal nanocavity based on a topological corner state
• Edge Solitons in Nonlinear Photonic Topological Insulators
• A single photonic cavity with two independent physical synthetic dimensions
• Topological Phases of Sound and Light
• Impurity Bound States and Greens Function Zeroes as Local Signatures of Topology
• Self-induced topological transitions and edge states supported by nonlinear staggered potentials
• Observation of Quadrupole Transitions and Edge Mode Topology in an LC network
• Non-linear second-order topological insulators
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Quantum simulation of 2d topological physics using orbital-angular-momentum-carrying photons in a 1d array of cavities
• Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
• Topolectrical-circuit octupole insulator with topologically protected corner states
• Optical isolation with nonlinear topological photonics
• Reconfigurable topological phases in next-nearest-neighbor coupled resonator lattices
• Exceptional Points in a Non-Hermitian Topological Pump
• Dynamically manipulating topological physics and edge modes in a single degenerate optical cavity
• Higher-order topological insulators and semimetals in generalized Aubry-André-Harper models
• Self-induced topological transition in phononic crystals by nonlinearity management
• Photonic quadrupole topological phases in zero-dimensional cavity with synthetic dimensions

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• Robustness of topological corner modes against disorder and application to acoustic networks
• A Higher-Order Topological Insulator Phase in a Modulated Haldane Model
• Arbitrary entangled state transfer via a topological qubit chain
• Topological properties of two-dimensional photonic square lattice without $C_4$ and $M_{x(y)}$ symmetries
• Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
• Edge and corner superconductivity in a 2D topological model
• Characterization of the 2D Su-Schrieffer-Heeger Model with Second-Nearest-Neighbor Interactions
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors