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| Paper IPM / Physic / 6583 |
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| Abstract: | |||||||||||
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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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