Magnetic skyrmion crystal at a topological insulator surface

Abstract

We consider a magnetic skyrmion crystal formed at the surface of a topological insulator. Incorporating the exchange interaction between the helical Dirac surface states and the periodic Néel or Bloch skyrmion texture, we obtain the resulting electronic band structure and discuss the constraints that symmetries impose on the energies and Berry curvature. We find substantive qualitative differences between the Néel and Bloch cases, with the latter generically permitting a multiband low energy tight-binding representation whose parameters are tightly constrained by symmetries. We explicitly compute the associated Wannier orbitals, which resemble the ringlike chiral bound states of helical Dirac fermions coupled to a single skyrmion in a ferromagnetic background. We construct a two-band tight-binding model with real nearest-neighbor hoppings which captures the salient topological features of the low-energy bands. Our results are relevant to magnetic topological insulators (TIs), as well as to TI-magnetic thin film heterostructures, in which skyrmion crystals may be stabilized.

arXiv comment21 pages, 7 figures

References in corpus (84)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
• Maximally-localized generalized Wannier functions for composite energy bands
• Topological Insulators in Three Dimensions
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Field Theory of Time-Reversal Invariant Insulators
• Maximally localized Wannier functions: Theory and applications
• Moire bands in twisted double-layer graphene
• Classification of topological quantum matter with symmetries
• Topological invariants of time-reversal-invariant band structures
• Valley contrasting physics in graphene: magnetic moment and topological transport
• Topological Hall effect in the A-phase of MnSi
• Graphene bilayer with a twist: electronic structure
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Observation of Van Hove singularities in twisted graphene layers
• Skyrmions at room temperature : From magnetic thin films to magnetic multilayers
• Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmion at room temperature
• Optical detection of Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
• Magic continuum in twisted bilayer WSe2
• Flat Bands in Slightly Twisted Bilayer Graphene
• Topological insulators in twisted transition metal dichalcogenide homobilayers
• Tunable Room Temperature Magnetic Skyrmions in Ir/Fe/Co/Pt Multilayers
• Hubbard model physics in transition metal dichalcogenide moiré bands
• Localization of Dirac electrons by Moire patterns in graphene bilayers
• Anatomy of Dzyaloshinskii-Moriya Interaction at Co/Pt Interfaces
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• Single Layer Behavior and Its Breakdown in Twisted Graphene Layers
• Abundance of correlated insulating states at fractional fillings of WSe${}_2$/WS${}_2$ moiré superlattices
• Continuum Model of the Twisted Bilayer
• Magnetic impurities on the surface of a topological insulator
• Fractional Chern Insulator
• Commensuration and Interlayer Coherence in Twisted Bilayer Graphene
• Electronic structure of turbostratic graphene
• Superlattice-induced insulating states and valley-protected orbits in twisted bilayer graphene
• Unusual Hall Effect Anomaly in MnSi Under Pressure
• Exponential localization of Wannier functions in insulators
• Flat bands in twisted bilayer transition metal dichalcogenides
• Gapless surface Dirac cone in antiferromagnetic topological insulator MnBi${}_2$Te${}_4$
• Band Structure of Twisted Bilayer Graphene: Emergent Symmetries, Commensurate Approximants and Wannier Obstructions
• Topological Kondo Insulators
• On the $Z_2$ classification of Quantum Spin Hall Models
• Ab-Initio Theory of Moiré Superlattice Bands in Layered Two-Dimensional Materials
• Extra Dirac points in the energy spectrum for superlattices on single-layer graphene
• Fractional Chern Insulator States in Twisted Bilayer Graphene: An Analytical Approach
• Domain walls in gapped graphene
• Quantized Anomalous Hall Effects in Skyrmion Crystal
• The insulator/Chern-insulator transition in the Haldane model
• Observation of two independent skyrmion phases in a chiral magnetic material
• Competing magnetic interactions in the antiferromagnetic topological insulator MnBi${}_2$Te${}_4$
• Electric charging of magnetic textures on the surface of a topological insulator
• Collective excitations of Dirac electrons in a graphene layer with spin-orbit interaction
• Concurrence of Quantum Anomalous Hall and Topological Hall Effects in Magnetic Topological Insulator Sandwich Heterostructures
• Isolated zero field sub-10 nm skyrmions in ultrathin Co films
• Electronic superlattices in corrugated graphene
• One-dimensional edge state transport in a topological Kondo insulator
• Tunable Superlattice in Graphene To Control the Number of Dirac Points
• Unconventional Topological Hall Effect in Skyrmion Crystals Caused by the Topology of the Lattice
• Two-channel anomalous Hall effect in SrRuO3
• Transport in superlattices on single layer graphene
• Band structures of bilayer graphene superlattices
• Band structure and gaps of triangular graphene superlattices
• A moiré superlattice on the surface of a topological insulator
• Domain wall of a ferromagnet on a three-dimensional topological insulator
• Topological Hall Effect in a Topological Insulator Interfaced with a Magnetic Insulator
• Hysteretic Magnetotransport in SmB6 at Low Magnetic Fields
• Magnetotransport Measurements of the Surface States of Samarium Hexaboride using Corbino Structures
• Graphene under spatially varying external potentials: Landau levels, magnetotransport, and topological modes
• Charged skyrmions on the surface of a topological insulator
• Inhomogeneous ferromagnetism mimics signatures of the topological Hall effect in SrRuO${}_3$ films
• Quantum Anomalous Hall effect in graphene coupled to skyrmions
• Magnetic order on a topological insulator surface with warping and proximity-induced superconductivity
• A Strongly-Interacting Dirac Liquid on the Surface of a Topological Kondo Insulator
• Skyrmion-induced anomalous Hall conductivity on topological insulator surfaces
• High-temperature large-gap quantum anomalous Hall insulator in ultrathin double perovskite films
• Tunable skyrmion-skyrmion binding on the surface of a topological insulator
• Topological magnetic textures in magnetic topological insulators
• Fluctuation-induced Néel and Bloch skyrmions at topological insulator surfaces
• Emergent dome of nematic order around a quantum anomalous Hall critical point
• Anomalous Kerr Effect in SrRuO${}_3$ Thin Films
• Magnetoconductance signatures of chiral domain-wall bound states in magnetic topological insulators
• Tunable skyrmion crystals and topological quantum oscillations in magnetic metals

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• Anisotropic planar Hall effects in Bi${}_2$Se${}_3$/EuS interfaces: Deciphering the role of proximity induced spin canting and topological spin texture
• Giant resonant skew scattering of plasma waves in a two-dimensional electron gas
• Interface-Induced Stability of Nontrivial Topological Spin Textures: Unveiling Room-Temperature Hopfions and Skyrmions
• A $C^{\ast }$-algebraic view on the interaction of real- and reciprocal space topology in skyrmion crystals
• Disorder-Induced Topological Phases in a Two-Dimensional Chern Insulator with Strong Magnetic Disorder
• Chiral electronic network within skyrmionic lattice on topological insulator surfaces
• Charge ordering and spontaneous topological Hall effect in bilayer skyrmion crystals
• Dilute Paramagnetism and Non-Trivial Topology in Quasicrystal Approximant Fe${}_4$Al${}_{13}$