Skyrmions in integral and fractional quantum Hall systems

Details Skyrmions in integral and fractional quantum Hall systems Skyrmions in integral and fractional quantum Hall systems

2001-09-28

arxiv.org/abs/cond-mat/0109549v1

Solid State Commun. 122, 407 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 6 figures, submitted to Solid State Commun

Scientific paper

10.1016/S0038-1098(02)00146-1

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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