Hartree-Fock Theory of Skyrmions in Quantum Hall Ferromagnets

Abstract

We report on a study of the charged-skyrmion or spin-texture excitations which occur in quantum Hall ferromagnets near odd Landau level filling factors. Particle-hole symmetry is used to relate the spin-quantum numbers of charged particle and hole excitations and neutral particle-hole pair excitations. Hartree-Fock theory is used to provide quantitative estimates of the energies of these excitations and their dependence on Zeeman coupling strength, Landau level quantum numbers, and the thicknesses of the two-dimensional electron layers. For the case of $\nu$ near three we suggest the possibility of first order phase transitions with increasing Zeeman coupling strength from a many skyrmion state to one with many maximally spin-polarized quasiparticles.

26 pages, 10 figures

Cited by in corpus (56)

• Collective Modes and Skyrmion Excitations in Graphene SU(4) Quantum Hall Ferromagnets
• Collective Excitations, NMR, and Phase Transitions in Skyrme Crystals
• Evidence for Skyrmion crystallization from NMR relaxation experiments
• Fractional and integer quantum Hall effects in the zeroth Landau level in graphene
• Topological defects and Goldstone excitations in domain walls between ferromagnetic quantum Hall effect liquids
• Soft Spin Wave Near nu=1: Evidence for a Magnetic Instability in Skyrmion Systems
• 1/N expansion for two-dimensional quantum ferromagnets
• Heat Capacity Evidence for the Suppression of Skyrmions at Large Zeeman Energy
• Skymrion lattice melting in the quantum Hall system
• Extra Spin-Wave mode in Quantum Hall systems. Beyond the Skyrmion Limit
• Disorder and interactions in quantum Hall ferromagnets near $\nu =1$
• Spin excitation spectra of integral and fractional quantum Hall systems
• Large Skyrmions in an Al(0.13)Ga(0.87)As Quantum Well
• Quantum Hall Skyrmions with Higher Topological Charge
• Skyrmion zoo in graphene at charge neutrality in a strong magnetic field
• Intra-Landau level magnetoexcitons and the transition between quantum Hall states in undoped bilayer graphene
• From electrons to baby skyrmions in Chern ferromagnets: A topological mechanism for spin-polaron formation in twisted bilayer graphene
• Skyrmion and Tetarton Lattices in Twisted Bilayer Graphene
• Activation Energy in a Quantum Hall Ferromagnet and Non-Hartree-Fock Skyrmions
• Searches for Skyrmions in the Limit of Zero g-Factor
• Microscopic Theory of a Quantum Hall Ising Nematic: Domain Walls and Disorder
• Skyrmion Dynamics and NMR Line Shapes in QHE Ferromagnets
• Spin Exciton in quantum dot with spin orbit coupling in high magnetic field
• Zeeman coupling and screening corrections to skyrmion excitations in graphene
• Thermodynamics of free and bound magnons in graphene
• Complete spin phase diagram of the fractional quantum Hall liquid
• Spin-orbit coupling effect on quantum Hall ferromagnets with vanishing Zeeman energy
• Landau Level Mixing and Skyrmion Stability in Quantum Hall Ferromagnets
• Spin Bottlenecks in the Quantum Hall Regim
• Signature of Quantum Hall Effect Skyrmions in Tunneling: A Theoretical Study
• NMR Study of Large Skyrmions in Al_{0.13}Ga_{0.87}As Quantum Wells
• Theory of inter-Landau level magnetoexcitons in bilayer graphene
• Well-width dependence of valley splitting in Si/SiGe quantum wells
• Quantum Hall Skyrmions at $\nu =0,\pm 1$ in monolayer graphene
• Neutral skyrmion configurations in the low-energy effective theory of spinor condensate ferromagnets
• Engineering Quantum Hall Phases in Synthetic Bilayer Graphene System
• Spin-isospin textured excitations in a double layer at filling factor $\nu =2$
• Microscopic Theory of Skyrmions in Quantum Hall Ferromagnets
• Itinerant Electron Ferromagnetism in the Quantum Hall Regime
• Magnetic Phases in Periodically Rippled Graphene
• Skyrmions in integral and fractional quantum Hall systems
• Bilayer Quantum Hall Ferromagnet in a Periodic Potential
• Riemann meets Goldstone: magnon scattering off quantum Hall skyrmion crystals probes interplay of symmetry breaking and topology
• Wave Function of the Largest Skyrmion on a Sphere
• Particle-hole asymmetric ferromagnetism and spin textures in the triangular Hubbard-Hofstadter model
• Quantum fluctuations of classical skyrmions in quantum Hall Ferromagnets
• Chiral spin currents and spectroscopically accessible single merons in quantum dots
• Chiral Stoner magnetism in Dirac bands
• Exotic Quantum Order in Low-Dimensional Systems
• Quantum Hall Skyrmion Lattices at $g\approx 0$
• Massive Spin Collective Mode in Quantum Hall Ferromagnet
• Charge and spin textures of Ising quantum Hall ferromagnet domain walls
• Fixed-phase diffusion Monte Carlo study of the activation gap and the skyrmion excitation of $\nu =1$ system in the presence of charged impurities
• An accurate effective action for `baby' to `adult' skyrmions
• Bag Formation in Quantum Hall Ferromagnets
• Magnon scattering and transduction in Coulomb-coupled quantum Hall ferromagnets