End states, ladder compounds, and domain wall fermions

Abstract

A magnetic field applied to a cross linked ladder compound can generate isolated electronic states bound to the ends of the chain. After exploring the interference phenomena responsible, I discuss a connection to the domain wall approach to chiral fermions in lattice gauge theory. The robust nature of the states under small variations of the bond strengths is tied to chiral symmetry and the multiplicative renormalization of fermion masses.

10 pages, 4 figures; final version for Phys. Rev. Lett

Cited by in corpus (146)

• Topological Bands for Ultracold Atoms
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Artificial flat band systems: from lattice models to experiments
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Topological Non-Hermitian skin effect
• Topological quantum matter with cold atoms
• Experimental observation of Aharonov-Bohm cages in photonic lattices
• Uhlmann Phase as a Topological Measure for One-Dimensional Fermion Systems
• Parity-time-symmetric topological superconductor
• Topology induced anomalous defect production by crossing a quantum critical point
• Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
• Effective theory and emergent $SU(2)$ symmetry in the flat bands of attractive Hubbard models
• An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
• Preformed pairs in flat Bloch bands
• Loschmidt Echo Revivals: Critical and Noncritical
• Aspects of Chiral Symmetry and the Lattice
• Quench dynamics and zero-energy modes: the case of the Creutz model
• Vacancy-like dressed states in topological waveguide QED
• Phase diagram and pair Tomonaga-Luttinger liquid in a Bose-Hubbard model with flat bands
• Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
• Topological Creutz Ladder in a Resonantly Shaken 1D Optical Lattice
• Pairing and superconductivity in the flat band: Creutz lattice
• From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model
• Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders
• Thermal Instability of Protected End States in a 1-D Topological Insulator
• Flat-band localization in Creutz superradiance lattices
• Dynamical delocalization of Majorana edge states by sweeping across a quantum critical point
• Realization of a cross-linked chiral ladder with neutral fermions in an optical lattice by orbital-momentum coupling
• One-dimensional $2^n$-root topological insulators and superconductors
• Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity
• Characterization of topological phase transitions via topological properties of transition points
• Nonlinear caging in All-Bands-Flat Lattices
• High-order topological insulators from high-dimensional Chern insulators
• Lattice gauge fields via modulation in circuit QED: The bosonic Creutz ladder
• Quantum Charge Pumps with Topological Phases in Creutz Ladder
• Gross-Neveu-Wilson model and correlated symmetry-protected topological phases
• Pairing and superconductivity in quasi one-dimensional flat band systems: Creutz and sawtooth lattices
• Quantum Caging in Interacting Many-Body All-Bands-Flat Lattices
• Interaction-induced topological properties of two bosons in flat-band systems
• Inversion symmetric non-Hermitian Chern insulator
• The Uhlmann connection in fermionic systems undergoing phase transitions
• Topological bound states of a quantum walk with cold atoms
• Wave packet dynamics of Bogoliubov quasiparticles: quantum metric effects
• Persistent currents in Dirac fermion rings
• Robust topological order in fermionic ${\mathbb{Z}}_2$ gauge theories: from Aharonov-Bohm instability to soliton-induced deconfinement
• Ubiquity of zeros of Loschmidt amplitude for mixed states in different physical processes and their implications
• Generalization of Bloch's theorem for arbitrary boundary conditions: Interfaces and topological surface band structure
• The topological counterparts of non-Hermitian SSH models
• Topological and flat bands states induced by hybridized interactions in one-dimensional photonic lattices
• Interaction induced doublons and embedded topological subspace in a complete flat-band system
• Quantum phases of two-dimensional ${\mathbb{Z}}_2$ gauge theory coupled to single-component fermion matter
• Synthetic dimensions for topological and quantum phases: Perspective
• Non-thermalized Dynamics of Flat-Band Many-Body Localization
• Orbital embedding and topology of one-dimensional two-band insulators
• Dissipation induced Luttinger liquid correlations in a one dimensional Fermi gas
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Observation of inverse Anderson transitions in Aharonov-Bohm topolectrical circuits
• Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
• Dynamical singularity of the rate function for quench dynamics in finite-size quantum systems
• Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
• Non-Hermitian topological end breathers
• Domain wall fermions and applications
• Fast quantum transfer mediated by topological domain walls
• Observation of flat-band localization and topological edge states induced by effective strong interactions in electrical circuit networks
• Coupling, merging, and splitting Dirac points by electron-electron interaction
• Interplay and competition between disorder and flat band in an interacting Creutz ladder
• Emergent non-Hermitian models
• Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
• Hidden-symmetry-protected topological phases on a one-dimensional lattice
• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Compactly Supported Wannier Functions and Strictly Local Projectors
• Superfluid weight in the isolated band limit within the generalized random phase approximation
• Edge mode manipulation through commensurate multifrequency driving
• Extended Creutz ladder with spin-orbit coupling: a one-dimensional analog of the Kane-Mele model
• Metal-insulator transition in infinitesimally weakly disordered flatbands
• Topological Kondo insulators in one dimension: Continuous Haldane-type ground-state evolution from the strongly-interacting to the non-interacting limit
• Topological characterization of one-dimensional open fermionic systems
• Topological Phases of Fermionic Ladders with Periodic Magnetic Fields
• Topological inverse Anderson insulator
• Topological properties of non-Hermitian Creutz Ladders
• Catalog of noninteracting tight-binding models with two energy bands in one dimension
• Topological insulation in a ladder model with particle-hole and reflection symmetries
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• A complete characterization of the spectrum of the Kitaev model on spin ladders
• Drude weight and the many-body quantum metric in one-dimensional Bose systems
• Topological Floquet engineering of a 1D optical lattice via resonantly shaking with two harmonic frequencies
• Topological Devil's staircase in atomic two-leg ladders
• Ubiquity of the quantum boomerang effect in Hermitian Anderson-localized systems
• Anti-$\mathcal{P}\mathcal{T}$ flatbands
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue
• Matter-wave propagation in optical lattices: geometrical and flat-band effects
• Detecting topology through dynamics in interacting fermionic wires
• Topological chiral currents in the Gross-Neveu model extension
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Topological properties of a periodically driven Creutz ladder
• Magnetic Phases of Spatially-Modulated Spin-1 Chains in Rydberg Excitons: Classical and Quantum Simulations
• Spectrum, Lifshitz transitions and orbital currents in frustrated fermionic ladders with a uniform flux
• Flat Bands and Compact Localised States: A Carrollian roadmap
• Topologically protected mid-gap states induced by impurity in one-dimensional superlattices
• Disorder in interacting quasi-one-dimensional systems: flat and dispersive bands
• Superconducting pairing from repulsive interactions of fermions in a flat-band system
• Critical States Generators from Perturbed Flatbands
• Gapless higher-order topology and corner states in Floquet systems
• Tuning the Drude weight of Dirac-Weyl fermions in one-dimensional ring traps
• A bilayer Double Semion Model with Symmetry-Enriched Topological Order
• One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Drude weight increase by orbital and repulsive interactions in fermionic ladders
• Dynamical Signatures of Liouvillian Flat Band
• Compact Wannier Functions in One Dimension
• Topologically compatible non-Hermitian skin effect
• Controllable Floquet edge modes in a multi-frequency driving system
• Deformation of localized states and state transitions in systems of randomly hopping interacting fermions
• Topological Phase Transition of A Non-Hermitian Crosslinked Chain
• Geometric phases of Topological Systems under Quench Process
• Symmetry-enforced double Weyl points, multiband quantum geometry, and singular flat bands of doping-induced states at the Fermi level
• Flat-band full localization and symmetry-protected topological phase on bilayer lattice systems
• RKKY to Kondo crossover in Helical Edge of a Topological Insulator
• Effects of the Hubbard interaction on the quantum metric
• Thermal Uhlmann phase in a locally driven two-spin system
• Cold atoms meet lattice gauge theory
• Chiral excitation flows of a multinode network based on synthetic gauge fields
• Interacting Dirac fields in an expanding universe: dynamical condensates and particle production
• Controlling spin without magnetic fields -- the Bloch-Rashba rotator
• Coexistence of ergodic and non-ergodic behavior and level spacing statistics in a one-dimensional model of a flat band superconductor
• Exact zeros of fidelity in finite-size systems as a signature for probing quantum phase transitions
• Exploring Thouless Pumping in the Generalized Creutz Model: A Graphical Method and Modulation Schemes
• Tunable zero modes and quantum interferences in flat-band topological insulators
• Recent progress on disorder-induced topological phases
• Taxonomy of integrable and ground-state solvable models: Jastrow wave functions on graphs and parent Hamiltonians
• Topological Classification of Dynamical Quantum Phase Transitions in the 1D XY model via Critical Mode Analysis
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• A simple electronic ladder model harboring ${\mathbb{Z}}_4$ parafermions
• Topological states in chiral electronic chains
• Low-energy effective Hamiltonian and end states of an inverted HgTe nanowire
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Uhlmann phase in composite systems with entanglement
• Fate of chiral order and impurity self-pinning in flat bands with local symmetry
• Higher order topology in a Creutz ladder
• Hidden topology in flat-band topological insulators: Strong, weak and square-root topological states
• Synchronized Aharonov-Bohm Motifs via Engineered Dissipation
• Exact Mobility Edges in a Disorder-Free Dimerized Stark Lattice with Effective Unbounded Hopping
• Anomalous Dynamical Scaling at Topological Quantum Criticality
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Isoperimetric Inequalities in Quantum Geometry
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation