Hopf term in the action for vortices/skyrmions with odd filling of Landau levels
A term in the action that is of third order in the derivatives of the rotation matrix is calculated. A direct diagrammatic method in the limit of high magnetic fields is used. It is shown that the action contains the standard Hopf invariant with a coefficient corresponding to fermionic behavior of vortices/skyrmions.
PACS numbers12.39.Dc 71.70.Di
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