Observation of bulk boundary correspondence breakdown in topolectrical circuits

Abstract

The study of the laws of nature has traditionally been pursued in the limit of isolated systems, where energy is conserved. This is not always a valid approximation, however, as the inclusion of features like gain and loss, or periodic driving, qualitatively amends these laws. A contemporary frontier of meta-material research is the challenge open systems pose to the established characterization of topological matter. There, one of the most relied upon principles is the bulk-boundary correspondence (BBC), which intimately relates the properties of the surface states to the topological classification of the bulk. The presence of gain and loss, in combination with the violation of reciprocity, has recently been predicted to affect this principle dramatically. Here, we report the experimental observation of BBC violation in a non-reciprocal topolectric circuit. The circuit admittance spectrum exhibits an unprecedented sensitivity to the presence of a boundary, displaying an extensive admittance mode localization despite a translationally invariant bulk. Intriguingly, we measure a non-local voltage response due to broken BBC. Depending on the AC current feed frequency, the voltage signal accumulates at the left or right boundary, and increases as a function of nodal distance to the current feed.

arXiv comment36 pages, 9 figures

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• Hermitian and non-Hermitian topology in active matter
• Resonant laser excitation and time-domain imaging of chiral topological polariton edge states
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• Exceptionally deficient topological square-root insulators
• Unifying Anderson transitions and topological amplification in non-Hermitian chains
• Topological and fractal defect states in non-Hermitian lattices
• Exceptional mode topological surface laser
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
• Non-Hermitian Hopf insulators
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Degenerate Topological Edge States in Multimer Chains
• Exceptional Non-Hermitian Topology Associated with Non-Toroidal Brillouin Zones
• Experimental observation of energy-band Riemann surface
• Topological spin textures in electronic non-Hermitian systems
• Solving the Kinetic Ising Model with Non-Reciprocity
• Unified Multipole Bott Indices for Non-Hermitian Skin Effect in Different Orders
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Size-Dependent Skin Effect Transitions in Weakly Coupled Non-Reciprocal Chains
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Noisy Stark probes as quantum-enhanced sensors
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Multi-block exceptional points in open quantum systems
• Emergent non-Hermitian conservation laws at exceptional points
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Dynamical transition in non-Hermitian Chern insulator
• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Real and imaginary edge states in stacked Floquet honeycomb lattices
• 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
• Non-Hermitian topology of transport in the quantum Hall phases in graphene
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Non-Hermitian magnetic moment
• Continuum Landau surface states in a non-Hermitian Weyl semimetal
• Supermetal-insulator transition in a non-Hermitian network model
• Reversing non-Hermitian skin accumulation with a non-local transverse switch
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Interacting many-body non-Hermitian systems as Markov chains
• Floquet spin textures in optically pumped non-Hermitian surface states
• Algebraic States in Continuum in $d>1$ Dimensional Non-Hermitian Systems
• One-directional polarization transport in electron/nuclear spin chains with loss and gain
• One-dimensional topology and topolectrics of nonsymmorphic Kramers degenerate systems
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Topological states and flat bands in exactly solvable decorated Cayley trees
• Anomalous Point-Gap Interactions Unveil the Mirage Bath
• Exceptional topology on nonorientable manifolds
• Covariant formulation of the Berry connection in non-Hermitian systems
• Non-Hermitian Higher-Order Dirac Semimetals
• Antiferromagnetism and spin excitations in a two-dimensional non-Hermitian Hatano-Nelson flux model
• Scaling rule in critical non-Hermitian skin effect
• Wiener-Hopf factorization and non-Hermitian topology for Amoeba formulation in one-dimensional multiband systems
• Illuminating the bulk-boundary correspondence of a non-Hermitian stub lattice with Majorana stars
• Winding-control mechanism of non-Hermitian systems
• Immutable quantized transport in Floquet chains
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Metal-Insulator Coexistence and Gap-Crossing Domain-Wall Modes in an Aubry-André Model with Nonlocal Hopping
• Anatomy of Non-Hermitian Dynamical Quantum Phase Transitions
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• Crystalline Weyl semimetal phase in Quantum Spin Hall systems under magnetic fields
• Anomalous Non-Hermitian Topological Anderson Insulator
• Self-healing of non-Hermitian topological skin modes
• Non-orientable Exceptional Points in Twisted Boundary Systems
• Exceptional horns in $n$-root graphene and Lieb photonic ring lattices
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems
• Exceptional flat bands in bipartite non-Hermitian lattices
• Gain-loss-engineering: a new platform for extreme anisotropic thermal photon tunneling