Reciprocal skin effect and its realization in a topolectrical circuit

Abstract

A system is non-Hermitian when it exchanges energy with its environment and non-reciprocal when it behaves differently upon the interchange of input and response. Within the field of metamaterial research on synthetic topological matter, the skin effect describes the conspiracy of non-Hermiticity and non-reciprocity to yield extensive anomalous localization of all eigenmodes in a (quasi) one-dimensional geometry. Here, we introduce the reciprocal skin effect, which occurs in non-Hermitian but reciprocal systems in two or more dimensions: Eigenmodes with opposite longitudinal momentum exhibit opposite transverse anomalous localization. We experimentally demonstrate the reciprocal skin effect in a passive RLC circuit, suggesting convenient alternative implementations in optical, acoustic, mechanical, and related platforms. Skin mode localization brings forth potential applications in directional and polarization detectors for electromagnetic waves.

12 pages, 5 figures, accepted manuscript

References in corpus (36)

• Topological Insulators
• Topological insulators and superconductors
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Edge states and topological invariants of non-Hermitian systems
• Anderson Transitions
• Localization transitions in non-Hermitian quantum mechanics
• Topological phases of non-Hermitian systems
• Topological Acoustics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Topological Band Theory for Non-Hermitian Hamiltonians
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Anomalous edge state in a non-Hermitian lattice
• Topolectrical circuit realization of topological corner modes
• Non-Hermitian Boundary Modes
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Anatomy of skin modes and topology in non-Hermitian systems
• Topological Boundary Modes in Isostatic Lattices
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Topolectrical circuits
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Time Reversal Invariant Topologically Insulating Circuits
• Topological properties of linear circuit lattices
• Chiral voltage propagation in a self-calibrated topolectrical Chern circuit
• Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics
• Perspective on topological states of non-Hermitian lattices
• Band structure engineering and reconstruction in electric circuit networks
• Non-Hermitian boundary and interface states in nonreciprocal higher-order topological metals and electrical circuits
• Measurement of a topological edge invariant in a microwave network
• Topologically Enhanced Harmonic Generation in a Nonlinear Transmission Line Metamaterial
• Electric circuits for non-Hermitian Chern insulators
• $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian Dirac semimetals

Cited by in corpus (258)

• Exceptional Topology of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Topology and Exceptional-Point Geometries
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Critical non-Hermitian Skin Effect
• Universal non-Hermitian skin effect in two and higher dimensions
• Non-Hermitian Topological Sensors
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Non-Hermitian topological phenomena: A review
• Higher-order non-Hermitian skin effect
• Acoustic non-Hermitian skin effect from twisted winding topology
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Topological Non-Hermitian skin effect
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Observation of non-Bloch parity-time symmetry and exceptional points
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Knots and Non-Hermitian Bloch Bands
• Second-order topological non-Hermitian skin effects
• Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits
• Non-Hermitian band topology and skin modes in active elastic media
• Realization of active metamaterials with odd micropolar elasticity
• Symmetry-protected multifold exceptional points and their topological characterization
• Non-Bloch band collapse and chiral Zener tunneling
• Observation of non-Hermitian topological Anderson insulator in quantum dynamics
• Skin effect and winding number in disordered non-Hermitian systems
• Simulating non-Hermitian quasicrystals with single-photon quantum walks
• Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
• Impurity induced scale-free localization
• Simulating hyperbolic space on a circuit board
• Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
• Topolectric circuits: Theory and construction
• Mirror skin effect and its electric circuit simulation
• Realization of the square-root higher-order topological insulator in electric circuits
• Emergent Fermi surface in a many-body non-Hermitian Fermionic chain
• Many-body topology of non-Hermitian systems
• Helical damping and anomalous critical non-Hermitian skin effect
• Bulk-boundary correspondence for non-Hermitian Hamiltonians via Green functions
• Hybrid skin-topological modes without asymmetric couplings
• Anomalous single-mode lasing induced by nonlinearity and the non-Hermitian skin effect
• Guided accumulation of active particles by topological design of a second-order skin effect
• Topological insulators and semimetals in classical magnetic systems
• Topological Field Theory of Non-Hermitian Systems
• Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
• Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
• Inner Skin Effects on Non-Hermitian Topological Fractals
• Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
• Nonreciprocal response theory of nonhermitian mechanical metamaterials: response phase transition from the skin effect of zero modes
• Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Many-Body Topological and Skin States without Open Boundaries
• Non-Hermitian Many-Body Localization with Open Boundaries
• Non-Hermitian skin effect and self-acceleration
• Liouvillian Skin Effect in an Exactly Solvable Model
• Imaging nodal knots in momentum space through topolectrical circuits
• Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
• Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice
• Nonlinearity induced topological physics in momentum space and real space
• Non-Bloch band theory in bosonic Bogoliubov-de Gennes systems
• Experimental identification of the second-order non-Hermitian skin effect with physics-graph-informed machine learning
• Magnetic suppression of non-Hermitian skin effects
• Fate of the non-Hermitian skin effect in many-body fermionic systems
• Dislocation Non-Hermitian Skin Effect
• Delocalization of topological edge states
• Non-Bloch $\mathcal{P}\mathcal{T}$ symmetry breaking in non-Hermitian Photonic Quantum Walks
• Quantized classical response from spectral winding topology
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Synthetic band-structure engineering in polariton crystals with non-Hermitian topological phases
• Hyperbolic Topological Band Insulators
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Non-Hermitian Topological Phases: Principles and Prospects
• Detecting non-Bloch topological invariants in quantum dynamics
• Higher rank chirality and non-Hermitian skin effect in a topolectrical circuit
• Non-Hermitian skin effect beyond the tight-binding models
• Non-Hermitian Photonic Lattices: tutorial
• Ultrafast and Anharmonic Rabi Oscillations between Non-Bloch-Bands
• Non-Bloch bands in two-dimensional non-Hermitian systems
• Dimensional transmutation from non-Hermiticity
• Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Non-Hermitian band topology with generalized inversion symmetry
• Non-Abelian inverse Anderson transitions
• Non-Hermitian waves in a continuous periodic model and application to photonic crystals
• Non-Hermitian skin effect of dislocations and its topological origin
• Non-Hermitian generalizations of extended Su-Schrieffer-Heeger models
• Dissipative Floquet Dynamical Quantum Phase Transition
• Non-Hermitian Chiral Skin Effect
• Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
• Photonic corner skin modes
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• Phase Transitions and Generalized Biorthogonal Polarization in Non-Hermitian Systems
• A non-Hermitian optical atomic mirror
• Topological origin of non-Hermitian skin effect in higher dimensions and uniform spectra
• Sensitivity of non-Hermitian systems
• Bulk-Bulk Correspondence in Disordered Non-Hermitian Systems
• Stabilizing multiple topological fermions on a quantum computer
• Scale-tailored localization and its observation in non-Hermitian electrical circuits
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Real-Time Steering of Curved Sound Beams in a Feedback-based Topological Acoustic Metamaterial
• Non-Hermitian skin effect in magnetic systems
• Geometry-dependent skin effects in reciprocal photonic crystals
• Symmetry and topological classification of Floquet non-Hermitian systems
• Disorder-driven Phase Transitions of Second-order Non-Hermitian Skin Effects
• Non-Hermitian Squeezed Polarons
• Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Untying links through anti-parity-time-symmetric coupling
• Theoretical Prediction of Non-Hermitian Skin Effect in Ultracold Atom Systems
• Bulk-boundary correspondence in point-gap topological phases
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Circuit realisation of a two-orbital non-Hermitian tight-binding chain
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Nonreciprocal Charge and Spin Transport Induced by Non-Hermitian Skin Effect in Mesoscopic Heterojunctions
• Non-Hermitian topology in monitored quantum circuits
• Non-Hermitian elastic waveguides with piezoelectric feedback actuation: non-reciprocal bands and skin modes
• Topological energy braiding of the non-Bloch bands
• Non-Hermitian Maryland Model
• Non-Hermitian skin effects on many-body localized and thermal phases
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Interaction induced bi-skin effect in an exciton-polariton system
• Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures
• Custodial chiral symmetry in a Su-Schrieffer-Heeger electrical circuit with memory
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Non-Bloch quench dynamics
• System size dependent topological zero modes in coupled topolectrical chains
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
• Non-Hermitian boundary spectral winding
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Exceptional points in the one-dimensional Hubbard model
• Real spectra in non-Hermitian topological insulators
• Bound states and photon emission in non-Hermitian nanophotonics
• Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Dynamical robustness of topological end states in nonreciprocal Su-Schrieffer-Heeger models with open boundary conditions
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Non-Hermitian topology in rock-paper-scissors games
• Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System
• Non-Hermitian topological end breathers
• Percolation-induced PT symmetry breaking
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Incoherent non-Hermitian skin effect in photonic quantum walks
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Two-dimensional quantum walk with non-Hermitian skin effects
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Fate of exceptional points under interactions: Reduction of topological classifications
• Non-Hermitian Topology in Hermitian Topological Matter
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Self acceleration from spectral geometry in dissipative quantum-walk dynamics
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• Hexagonally warped exceptional physics in multi-Weyl semimetals
• Non-Bloch band theory of generalized eigenvalue problems
• Kinked linear response from non-Hermitian cold-atom pumping
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Critical non-Hermitian topology induced quantum sensing
• Real spectra, Anderson localization, and topological phases in one-dimensional quasireciprocal systems
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Observation of size-dependent boundary effects in non-Hermitian electric circuits
• Filling up complex spectral regions through non-Hermitian disordered chains
• Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Topological corner modes in a brick lattice with nonsymmorphic symmetry
• Strongly Nonlinear Topological Phases of Cascaded Topoelectrical Circuits
• Scaling laws for non-Hermitian skin effect with long-range couplings
• Engineering topological states and quantum-inspired information processing using classical circuits
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Two-point spectroscopy of Fibonacci topoelectrical circuits
• Non-Hermitian skin effect in a spin-orbit-coupled Bose-Einstein condensate
• Dynamical signatures of point-gap Weyl semimetal
• Skin Effect in Quadratic Lindbladian Systems: an Adjoint Fermion Approach
• Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices
• Observation of non-local impedance response in a passive electrical circuit
• Non-Markovian skin effect
• Nontrivial worldline winding in non-Hermitian quantum systems
• Selective and tunable excitation of topological non-Hermitian skin modes
• Helical resonant transport and purified amplification at an exceptional point
• Multifractality of many-body non-Hermitian skin effect
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Role of Topology in Relaxation of One-Dimensional Stochastic Processes
• Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Discriminant indicators with generalized inversion symmetry
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• Parity-time symmetric systems with memory
• Transmission across non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum dots and ladders
• Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
• Non-Hermitian Skin Effect Along Hyperbolic Geodesics
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Concentrated subradiant modes in one-dimensional atomic array coupled with chiral waveguides
• Non-Hermitian physics of levitated nanoparticle array
• PT-Symmetry Breaking Transitions in Polymeric Systems
• Anomalous Hall effect from a non-Hermitian viewpoint
• Geometric contribution to adiabatic amplification in non-Hermitian systems
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Emergent $\mathcal{P}\mathcal{T}$-symmetry breaking of collective modes with topological critical phenomena
• Memristive Ising Circuits
• Two-dimensional lattice with an imaginary magnetic field
• One-dimensional non-Hermitian band structures as Riemann surfaces
• Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
• Real-time edge dynamics of non-Hermitian lattices
• Topologically compatible non-Hermitian skin effect
• Super-enhanced Sensitivity in Non-Hermitian Systems at Infernal Points
• Many-body critical non-Hermitian skin effect
• Dual Symmetry Classification of Non-Hermitian Systems and ${\mathbb{Z}}_2$ Point-Gap Topology of a Non-Unitary Quantum Walk
• Discriminant indicator with generalized rotational symmetry
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Optical non-Hermitian skin effect in two-dimensional uniform media
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Exceptional second-order topological insulators
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Gauge Field Induced Unconventional Skin Effect in Spinful Non-Hermitian Systems
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Controllable suppression of Non-Hermitian skin effects
• Hermitian and non-Hermitian topology in active matter
• Direct Measurement of a Non-Hermitian Topological Invariant in a Hybrid Light-Matter System
• An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Non-Hermitian Hopf insulators
• Unifying Anderson transitions and topological amplification in non-Hermitian chains
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Non-Hermitian magnetic moment
• A Hermitian bypass to the non-Hermitian quantum theory
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Size-Dependent Skin Effect Transitions in Weakly Coupled Non-Reciprocal Chains
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Noisy Stark probes as quantum-enhanced sensors
• Unified Multipole Bott Indices for Non-Hermitian Skin Effect in Different Orders
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Correspondence between non-Hermitian topology and directional amplification in the presence of disorder
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Scaling rule in critical non-Hermitian skin effect
• Winding-control mechanism of non-Hermitian systems
• One-dimensional topological quasiperiodic chain for directional wireless power transfer
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• Non-Hermitian Higher-Order Weyl Semimetals
• Self-healing of non-Hermitian topological skin modes
• 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