Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits

Abstract

Robust boundary states epitomize how deep physics can give rise to concrete experimental signatures with technological promise. Of late, much attention has focused on two distinct mechanisms for boundary robustness - topological protection, as well as the non-Hermitian skin effect. In this work, we report the first experimental realizations of hybrid higher-order skin-topological effect, in which the skin effect selectively acts only on the topological boundary modes, not the bulk modes. Our experiments, which are performed on specially designed non-reciprocal 2D and 3D topolectrical circuit lattices, showcases how non-reciprocal pumping and topological localization dynamically interplays to form various novel states like 2D skin-topological, 3D skin-topological-topological hybrid states, as well as 2D and 3D higher-order non-Hermitian skin states. Realized through our highly versatile and scalable circuit platform, theses states have no Hermitian nor lower-dimensional analog, and pave the way for new applications in topological switching and sensing through the simultaneous non-trivial interplay of skin and topological boundary localizations.

29 pages, 11 figures, 4 tables

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Cited by in corpus (142)

• Non-Hermitian Topology and Exceptional-Point Geometries
• Topological Non-Hermitian skin effect
• Observation of non-Hermitian topological Anderson insulator in quantum dynamics
• Transient non-Hermitian skin effect
• Observation of exceptional points and skin effect correspondence in non-Hermitian phononic crystals
• Hybrid skin-topological modes without asymmetric couplings
• Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
• Non-Hermitian dynamics and nonreciprocity of optically coupled nanoparticles
• Non-Hermitian skin clusters from strong interactions
• Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice
• Anomalous Floquet non-Hermitian skin effect in a ring resonator lattice
• Fate of the non-Hermitian skin effect in many-body fermionic systems
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Non-Hermitian Photonic Lattices: tutorial
• Non-Bloch bands in two-dimensional non-Hermitian systems
• Dimensional transmutation from non-Hermiticity
• Non-Hermitian waves in a continuous periodic model and application to photonic crystals
• Non-Abelian inverse Anderson transitions
• Simulation of interaction-induced chiral topological dynamics on a digital quantum computer
• Non-Hermitian Floquet Topological Matter -- A Review
• Observation of dynamical degeneracy splitting for the non-Hermitian skin effect
• Non-Hermitian Chiral Skin Effect
• Universal competitive spectral scaling from the critical non-Hermitian skin effect
• Designing non-Hermitian real spectra through electrostatics
• Photonic corner skin modes
• Zoology of non-Hermitian spectra and their graph topology
• Topological origin of non-Hermitian skin effect in higher dimensions and uniform spectra
• Scale-tailored localization and its observation in non-Hermitian electrical circuits
• Loss-induced Floquet non-Hermitian skin effect
• Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits
• Non-Hermitian Squeezed Polarons
• Demonstration of acoustic high-order Stiefel-Whitney semimetal in bilayer graphene sonic crystals
• Theoretical Prediction of Non-Hermitian Skin Effect in Ultracold Atom Systems
• Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Hybrid skin-topological effect induced by eight-site cells and arbitrary adjustment of the localization of topological edge states
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Ultra-sensitive integrated circuit sensors based on high-order nonHermitian topological physics
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Hybrid higher-order skin-topological effect in hyperbolic lattices
• Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
• Experimental realization of two-dimensional weak topological insulators
• Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
• Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained Categorization of Chern Insulators
• Universal platform of point-gap topological phases from topological materials
• Non-Hermitian boundary spectral winding
• Continuum of Bound States in a Non-Hermitian Model
• Observation of Large-Number Corner Modes in $\mathbb{Z}$-class Higher-Order Topolectrical Circuits
• Amplification of quantum signals by the non-Hermitian skin effect
• Topology of multipartite non-Hermitian one-dimensional systems
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Observation of inverse Anderson transitions in Aharonov-Bohm topolectrical circuits
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• Incoherent non-Hermitian skin effect in photonic quantum walks
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Activating non-Hermitian skin modes by parity-time symmetry breaking
• A brief review of hybrid skin-topological effect
• Percolation-induced PT symmetry breaking
• Edge theory of non-Hermitian skin modes in higher dimensions
• Observation of flat-band localization and topological edge states induced by effective strong interactions in electrical circuit networks
• Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
• Exploring topological phase transition andWeyl physics in five dimensions with electric circuits
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Self acceleration from spectral geometry in dissipative quantum-walk dynamics
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Evidencing non-Bloch dynamics in temporal topolectrical circuits
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Competition of non-Hermitian skin effect and topological localization of corner states observed in circuits
• Dissipation driven phase transition in the non-Hermitian Kondo model
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Filling up complex spectral regions through non-Hermitian disordered chains
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Non-Hermitian second-order topological superconductors
• Real Non-Hermitian Energy Spectra Without Any Symmetry
• Strongly Nonlinear Topological Phases of Cascaded Topoelectrical Circuits
• Topolectrical-circuit realization of quadrupolar surface semimetals
• Braiding Topology of Non-Hermitian Open-Boundary Bands
• Quantum walks of correlated photons in non-Hermitian photonic lattices
• Non-Hermitian higher-Order Weyl semimetal with surface diabolic points
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Emerging exceptional point with breakdown of skin effect in non-Hermitian systems
• Optomechanically induced transparency and directional amplification in a non-Hermitian optomechanical lattice
• Pseudomagnetic suppression of non-Hermitian skin effect
• Observation of non-local impedance response in a passive electrical circuit
• Higher-order Skin Effect through a Hermitian-non-Hermitian Correspondence and Its Observation in an Acoustic Kagome Lattice
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Exceptional points and exponential sensitivity for periodically driven Lindblad equations
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• Generalized Lieb's theorem for noninteracting non-Hermitian $n$-partite tight-binding lattices
• Topological $n$-root Su-Schrieffer-Heeger model in a non-Hermitian photonic ring system
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• Non-Hermitian Quantum Fractals
• Concentrated subradiant modes in one-dimensional atomic array coupled with chiral waveguides
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Interaction-Induced Second-Order Skin Effect
• Non-Hermitian Skin Effect Along Hyperbolic Geodesics
• Implementing non-Abelian Hatano-Nelson model in electric circuits
• Topological enhancement of exciton-polariton coherence with non-Hermitian morphing
• Non-Hermitian physics of levitated nanoparticle array
• Intrinsic-perturbation induced anomalous higher-order boundary states in non-Hermitian systems
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Dissipative two-dimensional Raman lattice
• Anisotropic-scaling localization in higher-dimensional non-Hermitian systems
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
• Spin-dependent gain and loss in photonic quantum spin Hall systems
• Two-dimensional lattice with an imaginary magnetic field
• Real-time edge dynamics of non-Hermitian lattices
• Topologically compatible non-Hermitian skin effect
• Restoration of non-Hermitian bulk-boundary correspondence by counterbalancing skin effect
• Super-enhanced Sensitivity in Non-Hermitian Systems at Infernal Points
• Optical pumping through the Liouvillian skin effect
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Manipulating Spectral Windings and Skin Modes through Nonconservative Couplings
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Non-Hermitian Boundary in a Surface Selective Reconstructed Magnetic Weyl Semimetal
• Optical non-Hermitian skin effect in two-dimensional uniform media
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• From Complexification to Self-Similarity: New Aspects of Quantum Criticality
• Fate of localization features in a one-dimensional non-Hermitian flat-band lattice with quasiperiodic modulations
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Non-Hermitian reshaping of high-order Landau modes
• Fragmented exceptional points and their bulk and edge realizations in lattice models
• Controllable suppression of Non-Hermitian skin effects
• Hermitian and non-Hermitian topology in active matter
• Concurrent Skin-scale-free Localization and Criticality under Möbius Boundary Conditions in a Non-Hermitian Ladder
• Topological and fractal defect states in non-Hermitian lattices
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• Exceptionally deficient topological square-root insulators
• Impurity flat band states in the diamond chain
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Disorder-driven exceptional points and concurrent topological phase transitions in non-Hermitian systems
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Non-Hermitian magnetic moment
• Unified Multipole Bott Indices for Non-Hermitian Skin Effect in Different Orders
• Exceptional horns in $n$-root graphene and Lieb photonic ring lattices
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
• Interacting many-body non-Hermitian systems as Markov chains