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Multicomponent Skyrmion lattices and their excitations

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We study quantum Hall ferromagnets with a finite density topologically charged spin textures in the presence of internal degrees of freedom such as spin, valley, or layer indices, so that the system is parametrised by a N-component complex spinor field. In the absence of anisotropies, we find formation of a hexagonal Skyrmion lattice which completely breaks the underlying SU(N) symmetry. We compute analytically the complete low-lying excitation spectrum, which separates into N^{2}-1 gapless acoustic magnetic modes and a magnetophonon. We discuss the role of effective mass anisotropy for SU(3)-valley Skyrmions relevant for experiments with AlAs quantum wells. Here, we find a transition, which breaks a six-fold rotational symmetry of a triangular lattice, followed by a formation of a square lattice at large values of anisotropy strength.

D. L. Kovrizhin, Benoît Douçot, R. Moessner, arXiv:1207.4021.

This talk is part of the Theory of Condensed Matter series.

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