Realization of quasicrystalline quadrupole topological insulators in electrical circuits

Abstract

Quadrupole topological insulators are a new class of topological insulators with quantized quadrupole moments, which support protected gapless corner states. The experimental demonstrations of quadrupole-topological insulators were reported in a series of artificial materials, such as photonic crystals, acoustic crystals, and electrical circuits. In all these cases, the underlying structures have discrete translational symmetry and thus are periodic. Here we experimentally realize two-dimensional aperiodic-quasicrystalline quadrupole-topological insulators by constructing them in electrical circuits, and observe the spectrally and spatially localized corner modes. In measurement, the modes appear as topological boundary resonances in the corner impedance spectra. Additionally, we demonstrate the robustness of corner modes on the circuit. Our circuit design may be extended to study topological phases in higher-dimensional aperiodic structures.

References in corpus (54)

• Topological Insulators
• Topological insulators and superconductors
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Topological States and Adiabatic Pumping in Quasicrystals
• $(d-2)$-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
• Acoustic higher-order topological insulator on a Kagome lattice
• Higher-Order Topology in Bismuth
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• Topolectrical circuits
• Topological protection of photonic mid-gap cavity modes
• Photonic quadrupole topological phases
• Second-order photonic topological insulator with corner states
• Topological phase transition in non-Hermitian quasicrystals
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Realization of a three-dimensional photonic topological insulator
• Topological properties of linear circuit lattices
• Topological Photonic Phase in Chiral Hyperbolic Metamaterials
• Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal
• Higher-Order Topological Insulators in Quasicrystals
• Impurity Bound States and Greens Function Zeroes as Local Signatures of Topology
• Observation of Quadrupole Transitions and Edge Mode Topology in an LC network
• Non-linear second-order topological insulators
• Observation of an acoustic octupole topological insulator
• Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
• Demonstration of a quantized acoustic octupole topological insulator
• Higher-order topological electric circuits and topological corner resonance on the breathing Kagome and pyrochlore lattices
• Topolectrical-circuit octupole insulator with topologically protected corner states
• Band structure engineering and reconstruction in electric circuit networks
• Probing the Berry Curvature and Fermi Arcs of a Weyl Circuit
• Topological phases without crystalline counterparts
• Higher-order topological insulators in amorphous solids
• Many-Body Order Parameters for Multipoles in Solids
• Quadrupole Topological Photonic Crystals
• Topological Hofstadter Insulators in a Two-Dimensional Quasicrystal
• Topolectric circuits: Theory and construction
• Symmetry-protected hierarchy of anomalous multipole topological band gaps in nonsymmorphic metacrystals
• 4D spinless topological insulator in a periodic electric circuit
• Aperiodic Weak Topological Superconductors
• Topological nodal states in circuit lattice
• Topological Anderson Insulator in electric circuits
• Higher-Order topological insulator in a dodecagonal quasicrystal
• Topolectrical-circuit realization of 4D hexadecapole insulator
• Difficulties in operator-based formulation of the bulk quadrupole moment
• Observation of symmetry protected zero modes in topolectrical circuits
• Ideal type-II Weyl points in topological circuits
• Hofstadter butterfly of a quasicrystal
• Topological Anderson insulator phase in a quasicrystal lattice
• Landau levels in quasicrystals
• Quasiperiodic tilings under magnetic field

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• Inner Skin Effects on Non-Hermitian Topological Fractals
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• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Observation of Topological Corner State Arrays in Photonic Quasicrystals
• Observation of Large-Number Corner Modes in $\mathbb{Z}$-class Higher-Order Topolectrical Circuits
• Higher-order topological phases emerging from the Su-Schrieffer-Heeger stacking
• Quasicrystalline second-order topological semimetals
• Density-driven higher-order topological phase transitions in amorphous solids
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Engineering topological states and quantum-inspired information processing using classical circuits
• Observation of emergent Dirac physics at the surfaces of acoustic higher-order topological insulators
• Quasiperiodic pairing in graphene quasicrystals
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Probing Chiral-Symmetric Higher-Order Topological Insulators with Multipole Winding Number
• Confined states and topological phases in two-dimensional quasicrystalline $\pi$-flux model
• Corner and Edge States in Topological Sierpinski Carpet Systems
• Higher-order topology in twisted multilayer systems: a review
• Quasicrystalline Spin Liquid
• Tunable corner states in topological insulators with long-range hoppings and diverse shapes
• Boundary topological insulators and superconductors of Altland-Zirnbauer tenfold classes
• Tunable cornerlike states in topological type-II hyperbolic lattices