Spin-charge Separated Solitons in a Topological Band Insulator

Abstract

In this paper we construct a simple, controllable, two dimensional model based on a topological band insulator. It has many attractive properties. (1) We obtain spin-charge separated solitons that are associated with $\pi$ fluxes. (2) It suggests an alternative way to classify $Z_2$ topological band insulator without resorting to the sample boundary. (3) When the $\pi$ fluxes are dynamical variables, as in a correlated insulator with emergent gauge fluxes, these solitons are propagating bosonic excitations and their condensation triggers a phase transition into a planar ferromagnet.

References in corpus (17)

• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators in Three Dimensions
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Topological invariants of time-reversal-invariant band structures
• Dissipationless Quantum Spin Current at Room Temperature
• "Deconfined" quantum critical points
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Fermion zero modes on vortices in chiral superconductors
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Fermions, strings, and gauge fields in lattice spin models
• Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
• Universal Magnetic Properties of Frustrated Quantum Antiferromagnets in Two Dimensions
• Spin Charge Separation in the Quantum Spin Hall State
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• Anyons in a weakly interacting system

Cited by in corpus (85)

• Topological insulators and superconductors
• Topological Field Theory of Time-Reversal Invariant Insulators
• Zoo of quantum-topological phases of matter
• Topological Superconductivity and Superfluidity
• Three-Dimensional Topological Insulators
• Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
• Topological Insulators and Mott Physics from the Hubbard Interaction
• Boson topological insulators: A window into highly entangled quantum phases
• Aharonov-Bohm oscillations in disordered topological insulator nanowires
• Correlation effects in two-dimensional topological insulators
• Masses in graphene-like two-dimensional electronic systems: topological defects in order parameters and their fractional exchange statistics
• Quantum interference and Aharonov-Bohm oscillations in topological insulators
• Topological insulators from complex orbital order in transition-metal oxides heterostructures
• Fractional disclination charge in two-dimensional $C_n-$symmetric topological crystalline insulators
• Three-dimensional Topological Insulators on the Pyrochlore Lattice
• Topological insulators in three dimensions from spontaneous symmetry breaking
• Universal probes of two-dimensional topological insulators: Dislocation and pi-flux
• Topological BF field theory description of topological insulators
• Wormhole Effect in a Strong Topological Insulator
• Unified bulk-boundary correspondence for band insulators
• Spin Charge Separation in the Quantum Spin Hall State
• Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
• Trace Index and Spectral Flow in the Entanglement Spectrum
• The translational side of topological band insulators
• Exotic Quantum Phase Transitions of $(2+1)d$ Dirac fermions
• Shift insulators: rotation-protected two-dimensional topological crystalline insulators
• Theory of quasiparticle interference on the surface of a strong topological insulator
• Time-reversal symmetric U(1) quantum spin liquids
• Bound States of Conical Singularities in Graphene-Based Topological Insulators
• Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena
• Topological phases in layered pyrochlore oxide thin films along the [111] direction
• Breakdown of topological Thouless pumping in the strongly interacting regime
• Phase Diagram of the Kane-Mele-Hubbard model
• A Fractionalized Quantum Spin Hall Effect
• Topological order in a correlated three-dimensional topological insulator
• Lattice distortion effects on topological phases in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the [111] direction
• Topological order in a correlated Chern insulator
• Self-organized pseudo-graphene on grain boundaries in topological band insulators
• Gate-tuned Aharonov-Bohm interference of surface states in a quasi-ballistic Dirac semimetal nanowire
• Topological Zero-Dimensional Defect and Flux States in Three-Dimensional Insulators
• The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
• Spectral flows associated to flux tubes
• Corner states of topological fullerenes
• Symmetry enriched U(1) quantum spin liquids
• Unification of bosonic and fermionic theories of spin liquids on the kagome lattice
• Lieb-Schultz-Mattis theorems for symmetry protected topological phases
• Bridging Fermionic and Bosonic Short Range Entangled States
• Detecting Perfect Transmission in Josephson Junctions on the Surface of Three Dimensional Topological Insulators
• Topological Invariant and Quantum Spin Models from Magnetic π Fluxes in Correlated Topological Insulators
• Zero-energy states bound to a magnetic pi-flux vortex in a two-dimensional topological insulator
• Holographic fractional topological insulators in 2+1 and 1+1 dimensions
• Topological Phase Transition in the Hofstadter-Hubbard Model
• Magnetotransport signatures of three-dimensional topological insulator nanostructures
• Quantum spin Hall effect and spin-charge separation in a kagome lattice
• Quantum Spin Hall, triplet Superconductor, and topological liquid on the honeycomb lattice
• Direct manifestation of band topology in the winding number of the Wannier-Stark ladder
• Particle Physics and Condensed Matter: The Saga Continues
• Conductance fluctuations and disorder induced $\nu =0$ quantum Hall plateau in topological insulator nanowires
• Line defects in Three dimensional Symmetry Protected Topological Phases
• $Z_2$ fractionalized Chern/topological insulators in an exactly soluble correlated model
• Topological linear response of hyperbolic Chern insulators
• Graphene with wedge disclination in the presence of intrinsic and Rashba spin orbit couplings
• Anomalous localization at the boundary of an interacting topological insulator
• Kane-Mele-Hubbard model on the $\pi$-flux honeycomb lattice
• Perfect transmission and Aharanov-Bohm oscillations in topological insulator nanowires with nonuniform cross section
• Classification and surface anomaly of glide symmetry protected topological phases in three dimensions
• $\pi$-fluxes, semi-metals and flat bands in artificial materials
• Dipolar Weyl semimetals
• Competing Adiabatic Thouless Pumps in Enlarged Parameter Spaces
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Skyrmion quantum numbers and quantized pumping in two dimensional topological chiral magnets
• Transport in topological insulator nanowires
• Spin-charge Separation in Nodal Antiferromagnetic Insulator
• Jackiw-Rebbi zero modes in non-uniform topological insulator nanowire
• Fractionalized Metals and Superconductors in Three Dimensions
• Topological quantum phase transition in Kane-Mele-Kondo lattice model
• Topological Mid-gap States of Topological Insulators with Flux-Superlattice
• Marginally localized edges of time-reversal symmetric topological superconductors
• Thermodynamic and topological phase diagrams of correlated topological insulators
• Selective branching, quenching, and converting of topological modes
• Topological charge excitations and Green's function zeros in paramagnetic Mott insulators
• Three-dimensional $\mathbb{Z}$ topological insulators without reflection symmetry
• Kondo screening of spin-charge separated fluxons by a helical liquid
• Non-Superconducting Non-Abelian Statistics in One-Dimensional Topological Insulators
• Artificial Gauge Field Engineered Excited-State Topology: Control of Dynamical Evolution of Localized Spinons