Skyrmions without Sigma Models in Quantum Hall Ferromagnets

Details Skyrmions without Sigma Models in Quantum Hall Ferromagnets Skyrmions without Sigma Models in Quantum Hall Ferromagnets

1995-10-13

arxiv.org/abs/cond-mat/9510080v1

Physics

Condensed Matter

4 pages, uuencoded LaTeX and eps files

Scientific paper

10.1103/PhysRevLett.76.2153

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