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Hartree-Fock theory of Skyrmions in quantum Hall ferromagnets

1996/12/23 by H. A. Fertig, L. Brey, R. Côté +4 · 1 citation
Physics and Astronomy · #Condensed matter physics #Electron #Ferromagnetism #Landau quantization #Magnetic field #Magnetic properties of thin films #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum number #Quantum phase transition #Quantum phases #Quantum spin Hall effect #Quasiparticle #Skyrmion #Spin (aerodynamics) #Superconductivity #Zeeman effect #Zeeman energy #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.55.10671

26 pages, 10 figures

arxiv created 1996/12/23 · openalex publication_date 1997/04/15 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 \ensuremathν 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.

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