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Skyrmions in integral and fractional quantum Hall systems

Arkadiusz Wojs·John J. Quinn
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Abstract

Numerical results are presented for the spin excitations of a two-dimensional electron gas confined to a quantum well of width w. Spin waves and charged skyrmion excitations are studied for filling factors nu=1, 3, and 1/3. Phase diagrams for the occurrence of skyrmions of different size as a function of w and the Zeeman energy are calculated. For nu=3, skyrmions occur only if w is larger than about twice the magnetic length. A general necessary condition on the interaction pseudopotential for the occurrence of stable skyrmion states is proposed.

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Arkadiusz Wojs, John J. Quinn. 2001-09-28. Skyrmions in integral and fractional quantum Hall systems. https://doi.org/10.1016/s0038-1098(02)00146-1

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