Skyrmions without Sigma Models in Quantum Hall Ferromagnets

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 $N_{\varphi }$ orbital states in a Landau level, a set of Skyrmions states with orbital degeneracy $N_{\varphi }-K$ 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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