Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions

Abstract

An important characteristic of topological band insulators is the necessary presence of in-gap edge states on the sample boundary. We utilize this fact to show that when the boundary is reconnected with a twist, there are always zero-energy defect states. This provides a natural connection between novel defects in the two-dimensional $p_x+i{p}_y$ superconductor, the Kitaev model, the fractional quantum Hall effect, and the one-dimensional domain wall of polyacetylene.

arXiv comment4 pages, 4 figures. The figures have been revised. accepted for publication by Physical Review Letters

References in corpus (15)

• Quantum Spin Hall Effect in Graphene
• Anyons in an exactly solved model and beyond
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Dissipationless Quantum Spin Current at Room Temperature
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Fermion zero modes on vortices in chiral superconductors
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Incompressible Quantum Liquids and New Conservation Laws
• Half-Filled Lowest Landau Level on a Thin Torus
• Abelian and Non-abelian Hall Liquids and Charge Density Wave: Quantum Number Fractionalization in One and Two Dimensions
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• The Pfaffian quantum Hall state made simple--multiple vacua and domain walls on a thin torus
• The Chern-Simons Invariant in the Berry Phase of a Two by Two Hamiltonian

Cited by in corpus (126)

• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Liquid States
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Shortcuts to adiabaticity
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Fidelity approach to quantum phase transitions
• An exact chiral spin liquid with non-Abelian anyons
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Majorana corner modes in a high-temperature platform
• Entanglement entropy and entanglement spectrum of the Kitaev model
• Correlation effects in two-dimensional topological insulators
• Defect production in non-linear quench across a quantum critical point
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Two-dimensional surface charge transport in topological insulators
• Accidental degeneracy and topological phase transitions in two-dimensional core-shell dielectric photonic crystals
• Topology induced anomalous defect production by crossing a quantum critical point
• Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
• Spin-S Kitaev model: Classical Ground States, Order by Disorder and Exact Correlation Functions
• Universal probes of two-dimensional topological insulators: Dislocation and pi-flux
• Topological light-trapping on a dislocation
• Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Majorana Fermions in Nodal Superconductors: Gapless Topological Phase
• Topological phases, Majorana modes and quench dynamics in a spin ladder system
• Spin-charge Separated Solitons in a Topological Band Insulator
• Topological Characterization of Extended Quantum Ising Models
• Spin Charge Separation in the Quantum Spin Hall State
• Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
• Fermionic magnons, non-Abelian spinons, and spin quantum Hall effect from an exactly solvable Kitaev Hamiltonian with SU(2) symmetry
• Topological Order and Non-Abelian Statistics in Noncentrosymmetric s-Wave Superconductors
• Quench dynamics and defect production in the Kitaev and extended Kitaev models
• A $\Gamma$-matrix generalization of the Kitaev model
• Topological Insulators on the Decorated Honeycomb Lattice
• Perturbative approach to an exactly solved problem: the Kitaev honeycomb model
• Majorana edge modes in the Kitaev model
• Defect production due to quenching through a multicritical point
• Three-dimensional topological phase on the diamond lattice
• Exact Chiral Spin Liquid with Stable Spin Fermi Surface on the Kagome Lattice
• Bound States of Conical Singularities in Graphene-Based Topological Insulators
• Theory of defect production in nonlinear quench across a quantum critical point
• A Description of Kitaev's Honeycomb Model with Toric-Code Stabilizers
• Quantum Spin-Valley Hall Kink States: From Concept to Materials Design
• Interacting non-Abelian anyons as Majorana fermions in the honeycomb lattice model
• SU(2)-invariant spin liquids on the triangular lattice with spinful Majorana excitations
• Magnetic impurities in the honeycomb Kitaev model
• Low-energy sub-gap states in multi-channel Majorana wires
• Topological Majorana and Dirac zero modes in superconducting vortex cores
• Topological Blocking in Quantum Quench Dynamics
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer
• Composite Particle Theory of Three-dimensional Gapped Fermionic Phases: Fractional Topological Insulators and Charge-Loop Excitation Symmetry
• Bulk-Defect Correspondence in Particle-Hole Symmetric Insulators and Semimetals
• Kaleidoscope of topological phases with multiple Majorana species
• Spectral flows associated to flux tubes
• Topological phase transitions driven by gauge fields in an exactly solvable model
• Pairing state at an interface of Sr${}_2$RuO${}_4$: parity-mixing, restored time-reversal symmetry, and topological superconductivity
• Majorana Zero Modes Protected by Hopf Invariant in Topologically Trivial Superconductors
• Topological Insulators and Quantum Spin Liquids
• Driven quantum many-body systems and out-of-equilibrium topology
• Double-frequency Aharonov-Bohm effect and non-Abelian braiding properties of Jackiw-Rebbi zero-mode
• Zero-energy states bound to a magnetic pi-flux vortex in a two-dimensional topological insulator
• Nature of a topological quantum phase transition in a chiral spin liquid model
• Optimal suppression of defect generation during a passage across a quantum critical point
• SU(2)-invariant Majorana spin liquid with stable parton Fermi surfaces in an exactly solvable model
• Determining quantum phase diagrams of topological Kitaev-inspired models on NISQ quantum hardware
• Quantum information approach to the quantum phase transition in the Kitaev honeycomb model
• Holographic fractional topological insulators in 2+1 and 1+1 dimensions
• Localised zero-energy modes in the Kitaev model with vacancy-disorder
• 3/2 Fractional Quantum Hall Plateau in Confined Two-Dimensional Electron Gas
• Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit
• Topological quantum phase transition in an extended Kitaev spin model
• Tuning topological orders by a conical magnetic field in the Kitaev model
• Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice
• Spin-1 Kitaev model in one dimension
• An exactly soluble model with tunable p-wave paired fermion ground states
• Reverse quenching in a one-dimensional Kitaev model
• Quantum spin Hall effect and spin-charge separation in a kagome lattice
• Quenching across quantum critical points: role of topological patterns
• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
• Geometric Criterion for Solvability of Lattice Spin Systems
• Zero energy and chiral edge modes in a p-wave magnetic spin model
• Power-Law Behavior of Bond Energy Correlators in a Kitaev-type Model with a Stable Parton Fermi Surface
• Boundary edge networks induced by bulk topology
• Cross-dimensional universality classes in static and periodically driven Kitaev models
• Realization of the Exactly Solvable Kitaev Honeycomb Lattice Model in a Spin Rotation Invariant System
• A complete characterization of the spectrum of the Kitaev model on spin ladders
• Exact chiral spin liquid state in a Kitaev type spin model
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Rational boundary charge in one-dimensional systems with interaction and disorder
• Sudden quenching in the Kitaev honeycomb model: Study of defect and heat generation
• Exact Chiral Spin Liquids and Mean-Field Perturbations of Gamma Matrix Models on the Ruby Lattice
• The quantum kinetic equation and dynamical mass generation in 2+1 Dimensions
• The Zero Temperature Phase Diagram of the Kitaev Model
• Impurity- and Magnetic-field-induced Quasiparticle States in Chiral $p$-wave Superconductors
• Singular and Half-Quantum Vortices and Associated Majorana Particles in Superfluid 3He-A between Parallel Plates
• Weak-coupling to strong-coupling quantum criticality crossover in a Kitaev quantum spin liquid $\alpha$-RuCl${}_3$
• Honeycomb lattice Kitaev model with Wen-Toric-code interactions, and anyon excitations
• Gauge symmetry in Kitaev-type spin models and index theorems on odd manifolds
• Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors
• Tunable boson-assisted finite-range interaction and engineering Majorana corner modes in optical lattices
• Graphene with Rashba spin-orbit interaction and coupling to a magnetic layer: Electron states localized at the domain wall
• Skyrmion quantum numbers and quantized pumping in two dimensional topological chiral magnets
• Pristine Mott Insulator from an Exactly Solvable Spin-1/2 Kitaev Model
• Quenching across quantum critical points in periodic systems: dependence of scaling laws on periodicity
• Fractionalized Metals and Superconductors in Three Dimensions
• Nested Defects on the Boundary of Topological Superconductors
• Maximal distant entanglement in Kitaev tube
• Four-Step Evolution of Spin-Hall Conductance: Tight-Binding Electrons with Rashba Coupling in a Magnetic Field
• Lacing topological orders in two dimensions: exactly solvable models for Kitaev's sixteen-fold way
• Non-Abelian Majorana fermions in topological $s$-wave Fermi superfluids
• Topological phase in a $d_{x^2-y^2}+(p+ip)$ superconductor in presence of spin-density-wave
• Soliton Defects in One-dimensional Topological Three-band Hamiltonian
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Non-Abelian operation through scattering between chiral Dirac edge modes
• The Kitaev honeycomb model on surfaces of genus $g\ge 2$
• Critical phase boundary and finite-size fluctuations in Su-Schrieffer-Heeger model with random inter-cell couplings
• Shortcuts to adiabaticity in open quantum critical systems
• Volkov-Pankratov states on the edge of a quantum spin Hall system
• Artificial Gauge Field Engineered Excited-State Topology: Control of Dynamical Evolution of Localized Spinons
• Thermodynamic behavior of modified integer-spin Kitaev models on the honeycomb lattice
• Kondo screening of spin-charge separated fluxons by a helical liquid
• Proposal for realizing and probing topological crystalline insulators in optical lattices
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality
• Emergence of caustics in dynamics of the Kitaev model
• Realizing Majorana fermion modes in the Kitaev model