Entanglement Skyrmions in multicomponent quantum Hall systems
arXiv:0806.0229 · doi:10.1103/PhysRevB.78.195327
Abstract
We discuss charged topological spin textures in quantum Hall ferromagnets in which the electrons carry a pseudospin as well as the usual spin degree of freedom, as is the case in bilayer GaAs or monolayer graphene samples. We develop a theory which treats spin and pseudospin on a manifestly equal footing, which may also be of help in visualizing the relevant spin textures. We in particular consider the entanglement of spin and pseudospin in the presence of realistic anisotropies. An entanglement operator is introduced which generates families of degenerate Skyrmions with differing entanglement properties. We propose a local characterization of the latter, and touch on the role entangled Skyrmions play in the nuclear relaxation time of quantum Hall ferromagnets.
13 pages, 3 figures; discussion of collective skyrmion modes added; version accepted for publication in Phys. Rev. B
References in corpus (33)
- Quantum Hall Ferromagnetism in Graphene
- Landau Level Splitting in Graphene in High Magnetic Fields
- Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
- Evidence for a Goldstone Mode in a Double Layer Quantum Hall System
- Counterflow measurements in strongly correlated GaAs hole bilayers: evidence for electron-hole pairing
- Vanishing Hall Resistance at High Magnetic Field in a Double Layer Two-Dimensional Electron System
- Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
- Electron interactions in graphene in a strong magnetic field
- Collective Modes and Skyrmion Excitations in Graphene SU(4) Quantum Hall Ferromagnets
- Theory of integer quantum Hall effect in graphene
- Spontaneous parity breaking of graphene in the quantum Hall regime
- Collective Excitations, NMR, and Phase Transitions in Skyrme Crystals
- Strong Correlation to Weak Correlation Phase Transition in Bilayer Quantum Hall Systems
- Paired composite fermion wavefunctions
- Order from Disorder in Graphene Quantum Hall Ferromagnet
- SO(3) symmetry between Neel and ferromagnetic order parameters for graphene in a magnetic field
- Observation of Quantum Hall Valley Skyrmions
- Coexistence of Composite-Bosons and Composite-Fermions in nu=1/2 + 1/2 Quantum Hall Bilayers
- Strong enhancement of drag and dissipation at the weak- to strong- coupling phase transition in a bi-layer system at a total Landau level filling nu=1
- SU(N) Quantum Hall Skyrmions
- Spin Degree of Freedom in the nu =1 Bilayer Electron System Investigated via Nuclear Spin Relaxation
- Spin Transition in Strongly Correlated Bilayer Two Dimensional Electron Systems
- Spin-Pseudospin Coherence and CP Skyrmions in Bilayer Quantum Hall Ferromagnets
- Noncommutative Geometry, Extended W(infty) Algebra and Grassmannian Solitons in Multicomponent Quantum Hall Systems
- Lattice Pseudospin Model for Quantum Hall Bilayers
- Orthogonal localized wave functions of an electron in a magnetic field
- Interlayer Exchange Interactions, SU(4) Soft Waves and Skyrmions in Bilayer Quantum Hall Ferromagnets
- Lattice-Induced Double-Valley Degeneracy Lifting in Magnetic Field in Graphene
- SU(4) Skyrmions and Activation Energy Anomaly in Bilayer Quantum Hall Systems
- Quantum Hall Ferromagnets
- Collective modes of CP(3) Skyrmion crystals in quantum Hall ferromagnets
- Pseudospin vortex-antivortex states with interwoven spin textures in double layer quantum Hall systems
- Quantum disordering of the 111 state and the compressible-incompressible transition in quantum Hall bilayer systems
Cited by in corpus (26)
- Electronic Properties of Graphene in a Strong Magnetic Field
- Tilted-Cone-induced easy-plane pseudo-spin ferromagnet and Kosterlitz-Thouless transition in massless Dirac fermions
- Skyrmion zoo in graphene at charge neutrality in a strong magnetic field
- Spin-valley skyrmions in graphene at filling factor
- Position momentum Duality in the Entanglement Spectrum of Free Fermions
- Lattice-layer entanglement in Bernal-stacked bilayer graphene
- SU(4) Skyrmions in the Quantum Hall State of Graphene
- Theoretical expectations for a fractional quantum Hall effect in graphene
- SU(4) spin waves in the quantum Hall ferromagnet in graphene
- Zeeman coupling and screening corrections to skyrmion excitations in graphene
- Multicomponent Skyrmion lattices and their excitations
- Global phase diagram of charge neutral graphene in the quantum Hall regime for generic interactions
- Graphene lattice-layer entanglement under non-Markovian phase noise
- Theoretical Aspects of the Fractional Quantum Hall Effect in Graphene
- Hierarchy of Spin and Valley Symmetry Breaking in Quantum Hall Single Layer Graphene
- Riemann meets Goldstone: magnon scattering off quantum Hall skyrmion crystals probes interplay of symmetry breaking and topology
- Magnetic and Lattice Ordered Fractional Quantum Hall Phases in Graphene
- Fractional quantum Hall coexistence phases in higher Landau levels of graphene
- Husimi function and phase-space analysis of bilayer quantum Hall systems at
- Interlayer coherence and entanglement in bilayer quantum Hall states at filling factor
- Skyrmion crystals in the pseudo-spin-1/2 Bose-Einstein condensates
- description of bilayer skyrmion-antiskyrmion pairs
- Entanglement smectic and stripe order
- Dirac's spectrum from Newton laws in graphene
- Entanglemons: Cross-platform protected qubits from entanglement
- Topological Tenfold Classification and the Entanglement of Two Qubits