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Microscopic Theory of Skyrmions in Quantum Hall Ferromagnets

G. Tsitsishvili·Z. F. Ezawa
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Abstract

We present a microscopic theory of skyrmions in the monolayer quantum Hall ferromagnet. It is a peculiar feature of the system that the number density and the spin density are entangled intrinsically as dictated by the W$%_{\infty}$ algebra. The skyrmion and antiskyrmion states are constructed as W$_{\infty }$-rotated states of the hole-excited and electron-excited states, respectively. They are spin textures accompanied with density modulation that decreases the Coulomb energy. We calculate their excitation energy as a function of the Zeeman gap and compared the result with experimental data.

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G. Tsitsishvili, Z. F. Ezawa. 2005-09-10. Microscopic Theory of Skyrmions in Quantum Hall Ferromagnets. https://doi.org/10.1103/physrevb.72.115306

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