An accurate effective action for `baby' to `adult' skyrmions

Details An accurate effective action for `baby' to `adult' skyrmions An accurate effective action for `baby' to `adult' skyrmions

1997-07-23

arxiv.org/abs/cond-mat/9707250v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages (Revtex) + 3 ps-figures

Scientific paper

10.1103/PhysRevB.57.14833

Starting with a Chern-Simons theory, we derive an effective action for interacting quantum Hall skyrmions that takes into account both large-distance physics and short-distance details as well. We numerically calculate the classical static skyrmion profile from this action and find excellent agreement with other, microscopic calculations over a wide range of skyrmion sizes including the experimentally relevant one. This implies that the essential physics of this regime might be captured by a continuum classical model rather than resorting to more microscopic approaches. We also show that the skyrmion energy closely follows the formula suggested earlier by Sondhi et al. for a broad parameter range of interest as well.

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