Skyrmions and the crossover from the integer to fractional quantum Hall effect at small Zeeman energies

S. L. Sondhi, A. Karlhede, S. A. Kivelson, and E. H. Rezayi
Phys. Rev. B 47, 16419 – Published 15 June 1993
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Abstract

We study the two-dimensional electron gas in a high magnetic field at filling factor ν=1 for an arbitrary ratio of the Zeeman energy gμBB to the typical interaction energy. We find that the system always has a gap, even when the one-particle gap vanishes, i.e., when g=0. When g is sufficiently large, the quasiparticles are perturbatively related to those in the noninteracting limit; we compute their energies to second order in the Coulomb interaction. For g smaller than a critical value gc the quasiparticles change character; in the limit of g→0, they are skyrmions—spatially unbounded objects with infinite spin. In GaAs heterojunctions, the gap is unambiguously predominantly due to correlation effects; indeed, we tentatively conclude that g is always smaller than gc, so the relevant quasiparticles are the skyrmions. The generalization to other odd-integer filling factors, and to ν=1/3 and 1/5, is discussed.

  • Received 24 May 1993

DOI:https://doi.org/10.1103/PhysRevB.47.16419

©1993 American Physical Society

Authors & Affiliations

S. L. Sondhi, A. Karlhede, and S. A. Kivelson

  • Department of Physics, University of California, Los Angeles, Los Angeles, California 90024

E. H. Rezayi

  • Department of Physics and Astronomy, California State University, Los Angeles, Los Angeles, California 90032

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Vol. 47, Iss. 24 — 15 June 1993

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