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Paper   IPM / P / 6583
School of Physics
  Title:   A Critical Comparison of Field Theory and Microscopic Wave Functions for Skyrmions in Quantum Hall Ferromagnets
1.  M. Abolfath
2.  J.J. Palacios
3.  H.A. Fertig
4.  S.M. Grivin
5.  A.H. MacDonald
  Status:   Published
  Journal: Phys. Rev. B
  No.:  48
  Vol.:  56
  Year:  1997
  Pages:   6795-6804
  Supported by:  IPM
We report on a study of the classical field theory description of charged skyrmions in quantum Hall ferromagnets. The appropriate field theory is a nonlinear σ model generalized to include Coulomb and Zeeman interaction terms. We have tested the range of validity of the classical field theory by comparing with microscopic descriptions of the single-skyrmion state based on the Hartree-Fock approximation, exact diagonalization calculations, and many-body trial wave functions. We find that the field theory description is accurate for skyrmions with moderate spin quantum numbers ( ≥ 10) although, as expected, it fails qualitatively for small spin quantum numbers.

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