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Phys. Rev. B 55, 10671–10680 (1997)

Hartree-Fock theory of Skyrmions in quantum Hall ferromagnets

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H. A. Fertig
Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506-0055

Luis Brey
Instituto de Ciencia de Materiales (CSIC), Universidad Autónoma C-12, 28049 Madrid, Spain

R. Côté
Département de Physique et Centre de Recherches en Physique du Solide, Universitéde Sherbrooke,

A. H. MacDonald
Department of Physics, Indiana University, Bloomington, Indiana 47405

A. Karlhede
Department of Physics, Stockholm University, Box 6730, S-11385 Stockholm, Sweden

S. L. Sondhi
Department of Physics, Princeton University, Princeton, New Jersey 08544

Received 23 December 1996; published in the issue dated 15 April 1997

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 ν 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.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.55.10671
DOI:
10.1103/PhysRevB.55.10671
PACS:
73.40.Hm