Microscopic Theory of Skyrmions in Quantum Hall Ferromagnets

Details Microscopic Theory of Skyrmions in Quantum Hall Ferromagnets Microscopic Theory of Skyrmions in Quantum Hall Ferromagnets

2005-09-10

arxiv.org/abs/cond-mat/0509262v1

Phys.Rev. B72 (2005) 1153

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages (to be published in PRB)

Scientific paper

10.1103/PhysRevB.72.115306

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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