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arXiv · cond-mat/9510080

Skyrmions without Sigma Models in Quantum Hall Ferromagnets

A. H. MacDonald·H. A. Fertig·Luis Brey
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Abstract

We report on a microscopic theory of the Skyrmion states which occur in the quantum Hall regime. The theory is based on the identification of Skyrmion states in this system with zero-energy eigenstates of a hard-core model Hamiltonian. We find that for $N_ϕ$ orbital states in a Landau level, a set of Skyrmions states with orbital degeneracy $N_ϕ-K$ and spin quantum number $S = N/2 -K$ exists for each nonnegative integer $K$. The energetic ordering of states with different $K$ depends on the interaction potential.

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A. H. MacDonald, H. A. Fertig, Luis Brey. 1995-10-13. Skyrmions without Sigma Models in Quantum Hall Ferromagnets. https://doi.org/10.1103/physrevlett.76.2153

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