Skyrmion quantum spin Hall effect
arXiv:1905.01459 · doi:10.1103/PhysRevB.99.184427
Abstract
The quantum spin Hall effect is conventionally thought to require a strong spin-orbit coupling, producing an effective spin-dependent magnetic field. However, spin currents can also be present without transport of spins, for example, in spin-waves or skyrmions. In this paper, we show that topological skyrmionic spin textures can be used to realize a quantum spin Hall effect. From basic arguments relating to the single-valuedness of the wave function, we deduce that loop integrals of the derivative of the Hamiltonian must have a spectrum that is integer multiples of . By relating this to the spin current, we form a new quantity called the quantized spin current which obeys a precise quantization rule. This allows us to derive a quantum spin Hall effect, which we illustrate with an example of a spin-1 Bose-Einstein condensate.
arXiv comment7 pages, 2 figures (published in PRB)
References in corpus (39)
- Topological Insulators
- Topological insulators and superconductors
- 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
- Skyrmion Lattice in a Chiral Magnet
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
- Direct Observation of the Skyrmion Hall Effect
- The quantum spin Hall effect and topological insulators
- Skyrmion Hall Effect Revealed by Direct Time-Resolved X-Ray Microscopy
- The Quantum Spin Hall Effect: Theory and Experiment
- Field-Dependent Size and Shape of Single Magnetic Skyrmions
- Topological Flat Band Models and Fractional Chern Insulators
- On A Proper Definition of Spin Current
- Fractional Quantum Hall Effect in Optical Lattices
- Electrical signature of individual magnetic skyrmions in multilayered systems
- Direct imaging of a zero-field target skyrmion and its polarity switch in a chiral magnetic nanodisk
- The spin Hall effect in a quantum gas
- Skyrmion Lattice in Two-Dimensional Chiral Magnet
- The definition of the spin current: The angular spin current and its physical consequences
- The angular spin current and its physical consequences
- Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals
- Knots in a Spinor Bose-Einstein Condensate
- Quantum Hall physics in rotating Bose-Einstein condensates
- Perfect diode in quantum spin chains
- Direct detection of pure spin-current by x-ray pump-probe measurements
- Higher-Dimensional Quantum Hall Effect in String Theory
- Quantum Spin Nematic States in Bose-Einstein Condensates
- Topological Hall and Spin Hall Effects in Disordered Skyrmionic Textures
- Deterministic creation, pinning, and manipulation of quantized vortices in a Bose-Einstein condensate
- Integer and Fractional Quantum Anomalous Hall Effect in a Strip of Stripes Model
- Spin nematic order in antiferromagnetic spinor condensates
- SU(3) Quantum Hall Ferromagnetism in SnTe
- The Quantum Hall Effect in Supersymmetric Chern-Simons Theories
- Spin currents, spin torques, and the concept of spin superfluidity
- Skyrmionic magnetization configurations at chiral magnet/ferromagnet heterostructures
- SU(3) and SU(4) singlet quantum Hall states at
- Quantum Hall effect with small numbers of vortices in Bose-Einstein condensates